E. G. Birgin and J. M. Martínez. On the application of an Augmented Lagrangian
algorithm to some portfolio problems. EURO Journal on Computational
Optimization 4, pp. 79--92, 2016.
J. M. Martínez and M. Raydan.
Separable cubic modeling and a trust-region strategy for unconstrained minimization
with impact in global optimization.
Journal of Global Optimization 63, pp. 315--342, 2015.
|
E. G. Birgin, L. F. Bueno, and J. M. Martínez.
Assessing the reliability of general-purpose Inexact Restoration methods,
Journal of Computational and Applied Mathematics (Belgium), 282, pp. 1--16, 2015.
|
N. Krejic and J. M. Martínez.
Inexact Restoration approach for minimization with inexact evaluation of
the objective function.
Mathematics of Computation 85, pp. 1775-1791, 2016.
|
E. G. Birgin, J. M. Martínez, and L. F. Prudente.
Optimality properties of an Augmented Lagrangian method for
infeasible problems,
Computational Optimization and Applications 60, pp. 609--631, 2015.
|
L. F. Bueno, G. Haeser, and J. M. Martínez.
A flexible inexact restoration method for consrained optimization,
Journal of Optimization Theory and Applications, to appear.
|
E. G. Birgin, J. M. Martínez, and M. Raydan.
Spectral Projected Gradient Methods: Review and Perspectives,
Journal of Statistical Software 60, issue 3, 2014.
|
R. Andreani, J. M. Martínez, L. T. Santos, and B. F. Svaiter .
On the behavior of constrained optimization methods when
Lagrage multipliers do not exist.
Optimization Methods and Software, 29, pp. 646--657, 2014.
|
L. F. Bueno, A. Friedlander, J. M. Martínez, and F. N. C. Sobral .
Inexact restoration method for derivative-free optimization with smooth constraints.
SIAM Journal on Optimization 23, pp. 1189--2013, 2013.
|
E. G. Birgin, J. M. Martínez, L. Martínez, and G. B. Rocha.
Sparse projected-gradient method as a linear-scaling low-memory alternative to
diagonalization in self-consistent field electronic structure calculations.
Journal of Chemical Theory and Computation 9, 1043--1051, 2013.
|
E. G. Birgin, J. M. Martínez, and L. F. Prudente.
Augmented Lagrangians with possible infeasibility and finite termination for global
nonlinear programming.
Journal of Global Optimization 58, pp. 207--242, 2014.
|
E. G. Birgin, L. H. Bustamente, H. F. Callisaya, and J. M. Martínez.
Packing Circles within Ellipses.
International Transactions in Operations Research 20, pp. 365-389, 2013.
|
J. M. Martínez and F. N. C. Sobral.
Derivative-free constrained optimmization on thin domains.
Journal of Global Optimization, 56, pp. 1217--1232, 2013.
|
J. M. Martínez, and L. F. Prudente.
Handling infeasibility in a large-scale nonlinear
optimization algorithm,
Numerical Algorithms 60, pp. 263--277, 2012.
2011.
Related Technical Report.
(pdf file)
|
E. P. Carvalho, F. I. Pisnitchenko,
N. Mezzomo, S. R. S. Ferreira, J. M. Martínez, and
J. Martínez. Low Order-Value Multiple Fitting for Supercritical Fluid
Extraction Models,
Computers and Chemical Engineering 40, pp. 148-156, 2012.
2011.
Related Technical Report.
(pdf file)
|
E. G. Birgin, L. F. Bueno, N. Kreji\'c and J. M. Martínez:
Low Order-Value Approach for Solving VaR-Constrained
Optimization Problems,
Journal of Global Optimization 51, 715-742.
2011.
Related Technical Report.
(pdf file)
|
E. G. Birgin and J. M. Martínez:
Augmented Lagrangian Method with nonmonotone penalty parameters
for Constrained Otimization,
Computational Optimization Theory and Applications 51, pp. 941-965,
2012.
Related Technical Report.
(pdf file)
|
E. G. Birgin, E. V. Castelani, A. L. Martinez and J. M. Martínez:
Outer Trust-Region Method for Constrained Otimization
Journal of Optimization Theory and Applications 150, pp. 142-155.
2011.
Related Technical Report.
(pdf file)
|
E. G. Birgin, D. Fernández and J. M. Martínez:
On the Boundedness of Penalty Parameters in an Augmented
Lagrangian Method with Constrained Subproblems
Optimization Methods and Software 27, pp. 1001--1024,
2012.
Related Technical Report.
(pdf file)
|
J. M. Martínez: Generalized Order-Value Optimization
TOP, 20, pp. 75--98, 2012.
2011.
Related Technical Report.
(pdf file)
|
R. Andreani, J. J. J\'udice, J. M. Martínez, and J. Patricio.
On the natural merit function for solving complementarity problems,
Mathematical Programming 130, 211-223,
2011.
Related Technical Report.
(pdf file)
|
M. A. Diniz-Ehrhardt, J. M. Martínez, L. G. Pedroso:
Derivative-free methods for nonlinear programming
with general lower-level constraints
Computational \& Applied Mathematics 30, 19--52,
2011.
Related Technical Report.
(pdf file)
|
R. Andreani, J. J. Judice, J. M. Martínez, J. Patricio:
A projected-gradient interior-point algorithm for complementarity
problems
Numerical Algorithms , to appear.
2011.
Related Technical Report.
(pdf file)
|
R. Andreani, J. M. Martínez, B. F. Svaiter.: A new
sequential optimality condition for constrained optimization
and algorithmic consequences,
SIAM Journal on Optimization, to appear.
2011.
Related Technical Report.
(pdf file)
|
E. P. Carvalho, J. Martínez, J. M. Martínez,
F. I. Pisnitchenko. : On optimization strategies for parameter
estimation in models governed by partial differential equations,
Mathematics and Computers in Simulation 114 pp. 14--24, .
2015.
Related Technical Report.
(pdf file)
|
E. V. Castelani, A. L. M. Martínez, J. M. Martínez,
B. F. Svaiter. Addressing the greediness phenomenon in Nonlinear
Programming by means of Proximal Augmented Lagrangians,
Computational Optimization and Applications
46, pp. 229--245, 2010.
Related Technical Report.
(pdf file)
|
J. B. Francisco, J. M. Martínez, L. Martínez,
F. I. Pisnitchenko. Inexact Restoration methods for minimization
problems that arise in electronic structure calculations.
To appear in Computational Optimization and Applications
50, pp. 555-590, 2011.
Final publication avaliable in www.springerlink.com,
DOI: 10.1007/s10589-010-9318-6
Related Technical Report.
(pdf file)
|
R. Andreani, G. Haeser, J. M. Martínez. On sequential optimality
conditions for smooth constrained optimization.
Optimization 60, pp. 627-641, 2011.
Related and Expanded Technical Report.
(pdf file)
|
L. Martínez, R. Andrade, E. G. Birgin, J. M. Martínez.
Packmol: A package for building initial configurations for molecular
dynamics simulations. Journal of Computational
Chemistry 30, pp. 2157-2164, 2009
Related and Expanded Technical Report.
(pdf file)
|
R. Andreani, E. G. Birgin, J. M. Martínez, M. L. Schuverdt.
Second-order
negative-curvature methods for box-constrained and general constrained
optimization. Computational Optimization and
Applications 45, pp. 209-236 (2010).
Related and Expanded Technical Report.
(pdf file)
|
M. Andretta, E. G. Birgin, J. M. Martínez.
Partial Spectral Projected Gradient Method with Active-Set
Strategy for Linearly Constrained Optimization
Numerical Algorithms 53, pp. 23-52 (2010).
Related and Expanded Technical Report.
(pdf file)
|
E. G. Birgin, C. A. Floudas, J. M. Martínez.
Global minimization
using an Augmented Lagrangian method with variable lower-level
constraints.
Mathematical Programming 125, pp. 139-162 (2010).
Related and Expanded Technical Report.
(pdf file)
|
E. G. Birgin, J. M. Martínez, M. Raydan. Spectral Projected Gradient
Methods. In {\it Encyclopedia of Optimization}, C. A. Floudas and P. M.
Pardalos, editors. Second Edition. Springer, 2009, pp. 3652-3659.
|
E. G. Birgin, J. M. Martínez. Practical Augmented Lagrangian
Methods. In {\it Encyclopedia of Optimization}, C. A. Floudas and P. M.
Pardalos, editors. Second Edition. Springer, 2009, pp. 3013-3023.
|
R. Andrade, E. G. Birgin, I. Chambouleyron, J. M. Martínez
and S. Ventura. Estimation of the thickness and the optical
parameters of several
stacked thin films using optimization. Applied
Optics} 47, pp. 5208-5220, 2008.
Related and Expanded Technical Report.
(pdf file)
|
R. Andreani,
J. M. Martínez and L. Martínez. Trust-Region
Superposition Methods for Protein Alignment.
IMA Journal on Numerical Analysis 28, pp. 690-710 (2008).
Related and Expanded Technical Report.
(pdf file)
|
R. Andreani,
J. M. Martínez, L. Martínez and F. S. Yano. Low
Order-Value Optimization and new applications.
Journal of Global Optimization
43, pp. 1-10 (2009).
Expanded Technical Report.
(pdf file)
|
M. A. Gomes-Ruggiero, J. M. Martínez and S. A. Santos.
Spectral projected gradient method with inexact restoration for
minimization with nonconvex constraints. SIAM Journal
on Scientific Computing 31, pp. 1628-1652 (2009).
Expanded Technical Report.
(pdf file)
|
J. Martínez and J. M. Martínez. Fitting the
Sovovía's Supercritical Fluid Extraction Model by means of a Global
Optimization tool.
Computers and Chemical Engineering 32, pp. 1735-1745, 2008.
|
F. I. Pisnitchenko, I. A. Pisnichenko, J. M. Martínez and S. A.
Santos. Continuous dynamic assimilation of the inner region data in
hydrodynamics modelling: optimization approach.
Nonlinear Processes in Geophysics 15, pp. 815-829 (2008).
|
R. Andreani, E. G. Birgin,
J. M. Martínez and M. L. Schuverdt. On Augmented Lagrangian
methods with general lower-level constraints.
SIAM Journal on Optimization 18, pp. 1286-1309, 2007.
|
Leandro Martinez, Roberto Andreani and Jose Mario Martinez.
Convergent algorithms for protein structural alignment.
BMC Bioinformatics 2007, 8:306
doi:10.1186/1471-2105-8-306
[Full Text Online]
|
E. G. Birgin and J. M. Martínez. Improving
ultimate convergence of an Augmented
Lagrangian method.
Optimization Methods and Software
23, 177-195, 2008.
Related Technical Report.
(pdf file)
|
R. Andreani, J. M. Martínez and M. L. Schuverdt. On Second-Order
Optimality Conditions for Nonlinear Programming.
Optimization 56, pp. 529-542 (2007).
Related Technical Report.
(pdf file)
|
C. Y. Kaya and J. M. Martínez. Euler Discretization and Inexact
Restoration for Optimal Control.
Journal of Optimization Theory and Applications,
134, pp. 191-206 (2007)
Related Technical Report.
(pdf file)
|
L. Ferreira-Mendonca, V. L. R. Lopes and J. M. Martínez.
Quasi-Newton Acceleration for Equality Constrained Minimization.
Computational Optimization and Applications 40, pp. 373--388 (2008),
Related Technical Report.
(pdf file)
|
E. G. Birgin and J. M. Martínez. Structured Minimal-Memory
inexact quasi-Newton method and secant preconditioners for Augmented
Lagrangian Optimization.
Computational Optimization and Applications 39, pp. 1--16 (2008)
Related Technical Report.
(pdf file)
|
R. Andreani, J. M. Martínez, L. Martínez and F. Yano.
Continuous Optimization Methods for Structure Alignments.
Mathematical Programming 112, pp. 93-124 (2008)
Related Technical Report.
(pdf file)
|
J. B. Francisco, J. M. Martínez and L. Martínez.
Density-Based Globally Convergent Trust-Region Method for
Self-Consistent Field Electronic Structure Calculations.
Journal of Mathematical Chemistry,
Vol. 40, pp. 349-377 (2006).
Related Technical Report.
(pdf file)
|
R. Andreani, E. G. Birgin, J. M. Martínez and M. L. Schuverdt.
Augmented Lagrangian methods under the Constant Positive Linear
Dependence constraint qualification.
Mathematical Programming 112, pp. 5-32 (2008).
|
M. A. Diniz-Ehrhardt, J. M. Martínez and M. Raydan.
A derivative-free nonmonotone
line search technique for unconstrained optimization.
Journal of Computational and Applied Mathematics 219, pp. 383-397, 2008.
|
R. Andreani, J. M. Martínez, M. Salvatierra and F. Yano.
Quasi-Newton methods for Order-Value Optimization and Value-at-Risk
calculations.
Pacific Journal of Optimization,
Vol. 2, pp. 11-33 (2006).
Related Technical Report.
(pdf file)
|
E. G. Birgin, J. M. Martínez, F. Nishihara and D. P. Ronconi.
Orthogonal packing of rectangular items within arbitrary convex regions
by nonlinear optimization.
Computers and Operations Research ,
33, pp. 3535-3548 (2006).
|
E. G. Birgin, J. M. Martínez, W. F. Mascarenhas and D. P.
Ronconi. Method of Sentinels for Packing Items
within Arbitrary Convex Regions. Journal of the Operational Research
Society, 57, pp. 735-746, 2006.
Related Technical Report.
(pdf file)
|
W. La Cruz, J. M. Martínez and M. Raydan.
Spectral residual method without gradient information for
solving large-scale nonlinear systems of equations.
Mathematics of Computation, 75, pp. 1429-1448 (2006).
Related Technical Report.
(pdf file)
|
M. Andretta, E. G. Birgin and J. M. Martínez. Practical active
set Euclidian trust-region method with spectral projected gradients for
bound-constrained optimization.
Optimization 54, pp. 305-325 (2005).
Related Technical Report MCDO041130,
(pdf file)
|
E. G. Birgin and J. M. Martínez. Local convergence of an
Inexact-Restoration method and numerical experiments. Journal of
Optimization Theory and Applications 127, pp. 229-247 (2005).
Download expanded Technical Report MCDO041118,
(pdf file)
|
R. Andreani, C. Dunder and J. M. Martínez.
Nonlinear-Programming Reformulation of the Order-Value Optimization
Problem.
Mathematical Methods of Operations Research 61, pp. 365-384 (2005).
Expanded Technical Report (2001) (pdf file)
|
L. T. Santos, F. Yano, M. Salvatierra, J. M. Martínez, R.
Andreani
and M. Tygel. A global optimization algorithm applied to the common
reflection
surface (CRS) problem. Journal of Seismic Exploration 14, pp.
217-233
(2005).
|
J. B. Francisco, J. M. Martínez and L. Martínez.
Globally convergent Trust-Region methods for Self-Consistent Field electronic
calculations.
Journal of Chemical Physics 121, pp. 10863-10878 (2004)
Related Technical Report (pdf file)
|
J. B. Francisco, N. Krejic and J. M. Martínez.
An interior-point method for solving box-constrained underdetermined
nonlinear systems.
Journal of Computational and Applied Mathematics (Belgium) 177,
pp.67--88 (2005).
Technical Report (pdf file)
|
R. Andreani, E. G. Birgin, J. M. Martínez and J. Y. Yuan.
Spectral Projected
Gradient and Variable Metric methods for Optimization with linear
inequalities.
IMA Journal on Numerical Analysis 25, pp. 221-252 (2005).
Related Technical Report (pdf file)
|
E. G. Birgin, R. Castillo and J. M. Martínez.
Numerical comparison of Augmented Lagrangian algorithms for
nonconvex problems. Computational Optimization and Applications
31, pp. 31-56 (2005).
Related Technical report.
|
R. Andreani, J. M. Martínez and M. L. Schuverdt. On the relation
between Constant Positive Linear
Dependence condition and Quasinormality Constraint
Qualification. Journal of Optimization Theory and Applications
125, pp. 473-485 (2005).
Related Technical report.
|
J. M. Martínez. A note on the theoretical convergence
properties of the SIMP
method. Structural and Multidisciplinary Optimization 29, pp.
319-323 (2005) .
Technical Report with expanded version of this paper.
|
J. M. Martínez, E. A. Pilotta and M. Raydan. Spectral gradient methods for
linearly constrained optimization. Journal of
Optimization Theory and Applications 125, pp. 629-651 (2005).
Expanded Technical report (pdf file)
|
S. Ventura, E. G. Birgin, J. M. Martínez and I. Chambouleyron.
Optimization techniques for the estimation of the thickness and the
optical parameters of thin films using reflectance data.
Journal of Applied Physics 97 (2005).
Technical report (pdf file)
|
R. Andreani, J. M. Martínez, M. Salvatierra and F. Yano. Global
Order-Value Optimization by means of a multistart harmonic oscillator
tunneling strategy. In
{\it Global Optimization: from Theory to Implementation}, edited by L.
Liberti and N. Maculan, Kluwer.
Related Technical report (pdf file)
|
M. A. Diniz-Ehrhardt, M. A. Gomes-Ruggiero, V. L. R. Lopes and J. M.
Martínez.
Discrete Newton's method with local variations for solving large-scale nonlinear
systems. Optimization 52, pp. 417-440 (2003).
Technical Report (pdf file)
|
E. G. Birgin, J. M. Martínez
and D. Ronconi. Optimizing the packing
of cylinders into a rectangular container. A nonlinear approach.
European Journal on Operations Research. 160, pp. 19-33 (2005).
Technical Report (pdf file)
|
R. Andreani, C. Dunder and J. M. Martínez. Order-Value Optimization:
formulation and solution by means of a primal Cauchy method.
Mathematical Methods of Operations research 58, pp. 387-399 (2003) .
Technical Report (pdf file)
|
E. G. Birgin, J. M. Martínez and M. Raydan. Inexact Spectral Projected
Gradient methods on convex sets.
IMA Journal on Numerical Analysis 23, pp.
539-559 (2003).
Technical Report (pdf file)
|
E. G. Birgin, N. Krejic and J. M. Martínez. Globally convergent
inexact quasi-Newton methods for solving nonlinear systems.
Numerical Algorithms 32, pp. 249-260 (2003) .
Technical Report (pdf file)
|
J. M. Martínez and E. A. Pilotta. Inexact restoration methods for
nonlinear programming: advances and perspectives. In
Optimization and Control with applications , edited by L. Q. Qi, K. L.
Teo and X. Q. Yang. Springer, pp. 271-292, 2005.
Expanded Technical Report (pdf file)
|
J. M. Martínez and L. Martínez. Packing optimization for
automated generation of complex system's initial configurations for
molecular dynamics and docking. Journal of Computational
Chemistry 24, pp. 819-825 (2003)
Home-page of Packmol
|
Y. H. Dai, J. M. Martínez and J. Y. Yuan. An increasing-angle
property of the conjugate gradient method and the implementation of
large-scale minimization algorithms with line searches.
Numerical Linear Algebra and Applications 10, pp. 323-334 (2003).
Technical Report (pdf file)
|
I. Chambouleyron, S. Ventura, E. G. Birgin and J. M. Martínez.
Optical constants and thickness determination of very thin amorphous
semiconductor films. Journal of Applied Physics. 92, pp.
3093-3102 (2002).
|
E. G. Birgin, I. Chambouleyron and J. M. Martínez. Optimization
problems in the estimation of parameters of thin films and the elimination
of the influence of the substrate.
Journal of Computational and Applied Mathematics. 152, pp. 35-50
(2003).
Technical Report (pdf file)
|
M. A. Diniz-Ehrhardt, M. A. Gomes-Ruggiero, J. M. Martínez and S.
A. Santos. Augmented Lagrangian algorithms based on the spectral projected
gradient for solving nonlinear programming problems.
Journal of Optimization Theory and Applications. 123, pp. 497-517
(2004).
Technical Report (pdf file)
|
J. M. Martínez and B. F. Svaiter. A practical optimality condition
without constraint qualifications for nonlinear programming.
Journal of Optimization Theory and Applications 118, pp. 117-133 (2003).
Technical Report (pdf file)
|
E. G. Birgin, I. Chambouleyron, J. M. Martínez and S. Ventura.
Estimation of optical parameters of very thin films.
Applied Numerical Mathematics 47, pp. 109-119 (2003).
Technical Report (pdf file)
|
E. G. Birgin and J. M. Martínez. Large-scale active-set
box-constrained optimization method with spectral projected gradients.
Computational Optimization and Applications. 23, pp. 101-125
(2002).
Technical Report (pdf file)
|
O. Burdakov, J. M. Martínez and E. A. Pilotta. A limited memory
multipoint secant method for bound constrained optimization.
Annals of Operations Research 117, pp. 51-70 (2002.
Technical Report (pdf file)
|
E. G. Birgin, J. M. Martínez and D. P. Ronconi. Minimization
subproblems and heuristics for an applied clustering problem.
European Journal on Operations Research 146, pp. 19-34 (2003).
Technical Report (pdf file)
|
J. M. Martínez. Minimization of discontinuous cost functions
by smoothing.
Acta Applicandae Mathematicae 71, pp. 245-260 (2002).
Download Technical Report (pdf file)
|
E. G. Birgin, N. Krejic and J. M. Martínez. Solution of bounded
nonlinear systems of equations using homotopies with inexact restoration.
International Journal of Computer Mathematics 80, pp.
211-222 (2003).
Download Technical Report (pdf file)
|
E. G. Birgin, J. M. Martínez and M. Raydan. Algorithm 813: SPG -
Software for
convex-constrained optimization. ACM Transactions on
Mathematical Software 27, pp. 340-349 (2001) .
Download Technical Report (pdf file)
|
I. Chambouleyron and J. M. Martínez. Optical properties of
dielectric and semiconductor thin films. Handbook of Thin
Films Materials . Volume 3. Edited by H. S. Nalwa. Academic Press.
San Diego (2001), pp. 593-622.
Download Technical Report (pdf file)
|
R. Andreani and J. M. Martínez. On the solution of
mathematical programming problems with equilibrium constraints.
Mathematical Methods of Operations Research 54, pp. 345-358
(2001).
Download Technical Report (pdf file)
|
J. M. Martínez. Inexact restoration method with Lagrangian
tangent decrease and new merit function for nonlinear programming.
Journal of Optimization Theory and Applications
111, pp. 39-58 (2001).
Download Technical Report (pdf file)
|
E. G. Birgin and J. M. Martínez. A box-constrained
optimization algorithm with negative curvature directions and
spectral projected gradients.
Computing , Sup. 15, pp. 49-60 (2001).
Download Technical Report (pdf file)
|
R. Andreani and J. M. Martínez. On the solution of bounded
and unbounded mixed complementarity problems.
Optimization 50, pp. 265-278 (2001).
Download Technical Report (pdf file)
|
M. A. Diniz-Ehrhardt, Z. Dostal, M. A. Gomes-Ruggiero,
J. M. Martínez
and S. A. Santos. Nonmonotone strategy for minimization of quadratics with
simple constraints. Applications of Mathematics
46, pp. 321-338 (2001).
Download Technical Report (ps file)
|
E. G. Birgin and J. M. Martínez. A spectral conjugate
gradient method for unconstrained optimization.
Applied Mathematics and Optimization. 43, pp. 117-128 (2001).
|
J. M. Martínez. BOX-QUACAN and the
implementation of Augmented Lagrangian algorithms for minimization
with inequality constraints. Computational and
Applied Mathematics 19, pp. 31-56 (2000).
Download Technical Report in postscript format
|
J. M. Martínez. Practical quasi-Newton methods for solving
nonlinear systems.
Journal of Computational and Applied Mathematics 124, pp.
97-122 (2000).
Download Technical Report (pdf file)
|
J. M. Martínez and E. A. Pilotta. Inexact restoration
algorithms for constrained optimization. Journal of
Optimization Theory and Applications 104, pp. 135-163 (2000).
Download Technical Report (pdf file)
|
E. G. Birgin, J. M. Martínez and M. Raydan.
Nonmonotone spectral projected gradient methods on convex sets.
SIAM Journal on Optimization 10, pp. 1196-1211 (2000).
Download Updated Technical Report of 2002 (pdf file)
|
R. Andreani and J. M. Martínez. Reformulation of
variational inequalities on a simplex and compactification of
complementarity problems.
SIAM Journal on Optimization 10, pp. 878-895 (2000).
Download Technical Report (pdf file)
|
N. Krejic and J. M. Martínez. A globally
convergent inexact-Newton method for solving
reducible nonlinear
systems of equations. Optimization methods and
Software. 13, pp. 11-34 (2000).
Technical Report
|
N. Krejic, J. M. Martínez, M. P. Mello and E. A. Pilotta.
Validation of an augmented Lagrangian algorithm with a Gauss-Newton
Hessian approximation using a set of hard-spheres problems.
Computational Optimization and Applications 16, 247-263 (2000).
Download Technical Report (ps file)
|
N. Krejic, V.L.R. Lopes, J. M. Martínez and R. Pérez.
Incomplete decomposition algorithms for
discrete dynamic nonlinear models.
Nonlinear Analysis Theory methods and Applications. 42, pp. 663-672
(2000)
Download Technical Report in postscript format
|
M. Mulato, I. Chambouleyron, E. G. Birgin and J. M. Martínez.
Determination of thickness and optical constants of amorphous
silicon films from transmittance data.
Applied Physics Letters. 77, pp. 2133-2135 (2000)
|
R. Andreani, J. M. Martínez and B. F. Svaiter. On
the regularization of mixed complementarity problems.
Numerical Functional Analysis and Optimization 21, pp.
589-600 (2000).
Download Technical Report (pdf file)
|
E. G. Birgin, I. Chambouleyron and J. M. Martínez.
Estimation of the optical constants and the thickness of thin
films using unconstrained optimization. Journal of
Computational Physics. 151, pp. 862-880 (1999).
Download Technical Report in postscript format
|
R. Andreani and J. M. Martínez.
On the reformulation of nonlinear complementarity problems using
the Fischer-Burmeister function. Applied Mathematics
Letters. 12, pp. 7-12 (1999).
Download Technical Report in postscript format
|
N. Krejic and J. M. Martínez. Inexact-Newton methods for
semismooth systems of equations with block-angular structure.
Journal of Computational and Applied Mathematics. 103, pp.
239-249 (1999)
Download Technical Report in postscript format
|
V. L. R. Lopes, J. M. Martínez and R. Pérez.
On the local convergence of quasi-Newton methods
for nonlinear complementarity problems.
Applied Numerical Mathematics. 30, pp. 3-22 (1999).
Download Technical Report in postscript format
|
J. M. Martínez. A direct
search method for nonlinear programming.
ZAMM (Z. Angew. Math. Mech.). 79, pp. 267-276 (1999).
Download Technical Report in postscript format
|
F. M. Gomes, M. C. Maciel, J. M. Martínez. Nonlinear
programming algorithms using trust regions and augmented Lagrangians
with nonmonotone penalty parameters.
Mathematical Programming . 84, pp. 161-200 (1999).
Download Technical Report in postscript format
|
R. Andreani and J. M. Martínez.
Solving complementarity
problems by means of a new smooth constrained nonlinear solver.
In Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and
Smoothing methods .. Edited by M. Fukushima and L. Qi. Kluwer, pp.1-24
(1999).
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A. Friedlander, J. M. Martínez, B. Molina and M. Raydan.
Gradient methods with retards and generalizations.
SIAM Journal on Numerical Analysis. 36, pp. 275-289 (1998)
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J. M. Martínez. Two-phase model algorithm with global
convergence for nonlinear programming. Journal
of Optimization Theory and Applications . 96, pp. 397-436 (1998).
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I. E. Chambouleyron, J. M. Martínez, A. C. Moretti and
M. Mulato. Optical constants of thin films by means of
a pointwise constrained optimization approach.
Thin Solid Films . 317, pp. 133-136 (1998).
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J. M. Martínez and L. T. Santos. Some new theoretical
results on recursive quadratic programming algorithms.
Journal
of Optimization Theory and Applications . 97, pp. 435-454 (1998).
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J. M. Martínez.
A semifeasible trust-region model algorithm
for large-scale minimization with inequality constraints.
Novi Sad Journal of Mathematics . 28, pp. 1-29 (1998).
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R. Andreani and J. M. Martínez. On the solution of the
extended linear complementarity problem.
Linear Algebra and
its Applications . 281, pp. 247-257 (1998).
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J. M. Martínez. Augmented Lagrangians and sphere
packing problems. International Journal of
Computer Mathematics. 70, pp. 75-86 (1998).
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J. M. Martínez and L. T. Santos.
Comparação de duas estratégias no ensino de
` Complementos de Matemática'.
Zetetiké (Revista da Faculdade de Educação da Unicamp). 6,
pp. 89-108 (1998).
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J. M. Martínez, L. T. Santos and S. A. Santos, A minimax
method with application to the initial vector coding problem,
International Journal of
Computer Mathematics . 64, pp. 273-284 (1997).
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D. N. Kozakevich, J. M. Martínez, S. A. Santos.
Solving
nonlinear systems of equations with simple constraints.
Computational and Applied
Mathematics . 16, pp. 215-235 (1997).
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J. M. Martínez. Quasi-inexact-Newton methods with global
convergence for solving constrained nonlinear systems.
Nonlinear Analysis, Theory, methods and Applications . 30,
pp. 1-8 (1997).
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J. M. Martínez. A trust-region SLCP model algorithm for
nonlinear programming. In Foundations of Computational
Mathematics.. Edited by F. Cucker and M. Shub. Springer-Verlag, pp. 246-255
(1997).
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R. H. Bielschowsky, A. Friedlander, F. A. M. Gomes, J. M.
Martínez and M. Raydan. An adaptive algorithm for bound constrained
quadratic minimization.
Investigaci\'on Operativa . 7, pp. 67-102 (1997).
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A. Friedlander, M. A. Gomes-Ruggiero, D. N. Kozakevich, J. M.
Martínez and S. A. Santos. Solving nonlinear systems of
equations by means of quasi-Newton methods with a nonmonotone
strategy. Optimization methods
and Software . 8, pp. 25-51 (1997).
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R. Andreani, A. Friedlander, J. M. Martínez.
On the
solution of finite-dimensional variational inequalities
using smooth optimization with simple bounds.
Journal on Optimization Theory
and Applications . 94, pp. 635-657 (1997).
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J. M. Martínez and S. A. Santos. Convergence
results on an algorithm for norm constrained
regularization and related problems.
RAIRO Operations Research. 31, pp. 269-294 (1997).
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M. A. Gomes-Ruggiero, V. L. R. Lopes and J. M. Martínez.
Global convergence of Newton-like methods for nonsmooth systems.
Numerical Functional Analysis and Optimization . (9-10),
pp. 959-969 (1997).
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I. Chambouleyron, J. M. Martínez, A. C. Moretti
and M. Mulato, The retrieval of the optical constants and
the thickness of thin films from transmission spectra,
Applied Optics . 36, pp. 8238-8247 (1997).
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J. M. Martínez and A. C. Moretti. A trust region method
for minimization of nonsmooth
functions with linear constraints.
Mathematical Programming . 76, pp. 431-450 (1997).
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M. A. Diniz-Ehrhardt and J. M. Martínez. Successive
projection methods for the solution of overdetermined nonlinear systems.
In Nonlinear Optimization and Applications .. Edited by G. Di
Pillo and F. Giannessi. Plenum Publishing, pp. 75-84 (1996).
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M. A. Gomes-Ruggiero, D. N. Kozakevich and J. M. Martínez.
A numerical study on large-scale nonlinear solvers.
Computers and Mathematics with
Applications . 32, pp. 1-13 (1996).
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|
J. M. Martínez. An extension of the theory of secant
preconditioners. Journal of
Computational and Applied Mathematics . 60, pp. 115-125 (1995).
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J. M. Martínez and S. A. Santos. A trust region strategy for
minimization on arbitrary domains.
Mathematical Programming . 68, pp. 267-302 (1995).
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|
A. Friedlander, J. M. Martínez and M. Raydan. A new method
for large-scale box constrained convex quadratic minimization
problems. Optimization Methods
and Software . 5, pp. 57-74 (1995).
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|
J. M. Martínez and L. Qi. Inexact Newton methods for solving
nonsmooth equations.
Journal of Computational and Applied Mathematics . 60, pp. 127-145
(1995).
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|
J. M. Martínez. Discrimination by means of a trust region
method.
International Journal of
Computer Mathematics . 55, pp. 91-103 (1995).
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M. A. Gomes-Ruggiero, J. M. Martínez and
S. A. Santos. Solving nonsmooth equations by means of quasi-Newton
methods with globalization. In
Recent advances
in Nonsmooth Optimization .. Edited by
D-Z. Du, L. Qi and R. Womersley. World Scientific, pp. 121-140 (1995).
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A. Friedlander, J. M. Martínez and S. A. Santos. Solution of
linear complementarity problems using minimization with simple
bounds. Journal of Global Optimization . 6, pp. 1-15 (1995).
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A. Friedlander, J. M. Martínez and S. A. Santos. A new
strategy for solving variational inequalities on bounded polytopes.
Numerical Functional Analysis and Optimization. 16,
pp. 653-668 (1995).
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|
J. M. Martínez. Quasi-Newton methods with derivatives.
Calcolo . 32, pp.105-135 (1995).
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|
V. L. R. Lopes and J. M. Martínez.
Convergence properties of the
inverse Column-Updating method.
Optimization Methods and Software . 6, pp. 127-144 (1995).
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|
V. L. R. Lopes and J. M. Martínez.
On the convergence of quasi-Newton methods for
nonsmooth problems..
Numerical Functional Analysis and Optimization 16, pp. 1193-1209 (1995).
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|
J. M. Martínez and S. A. Santos. Métodos
computacionais de otimização.. XX Col\'oquio Brasileiro de
Matemática, IMPA (ISBN 85-244-0092-7, 256 pages) (1995).
Download postscript
|
M. A. Diniz-Ehrhardt, J. M. Martínez and S. A. Santos. Parallel
projection methods and the resolution of ill-posed problems.
Computers and Mathematics with Applications . 27,
pp. 11-24 (1994).
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A. Friedlander and J. M. Martínez. On the maximization of a
concave quadratic function with box constraints.
SIAM Journal on Optimization . 4, pp. 177-192 (1994).
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|
A. Friedlander, J. M. Martínez and S. A. Santos. On the
resolution of large scale linearly constrained convex minimization
problems. SIAM Journal on Optimization . 4, pp. 331-339 (1994).
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J. M. Martínez. Local minimizers of quadratic functions
on Euclidean balls and spheres.
SIAM Journal on Optimization . 4, pp. 159-176 (1994).
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J. M. Martínez. SOR - Secant methods.
SIAM Journal on Numerical Analysis . 31, pp. 217-226 (1994).
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J. E. Dennis, J. M. Martínez and X. Zhang. Triangular
decomposition methods for solving reducible nonlinear systems of equations.
SIAM Journal on Optimization . 4, pp. 358-382 (1994).
Expanded Technical Report
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A. Friedlander, J. M. Martínez and S. A. Santos. A new
trust region
algorithm for bound constrained minimization.
Applied Mathematics and Optimization . 30,
pp. 235-266 (1994).
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J. M. Martínez. Algorithms for solving nonlinear systems of
equations. In Continuous Optimization. The state of art.. Edited by
E. Spedicato. Kluwer Academic Publishers, pp. ~81-108 (1994).
Download Technical Report in postscript format
|
J. M. Martínez, L. T. dos Santos and S. A. Santos. Problemas
minimax and aplica\c{c.\~oes. Matemática Universitária . 16,
pp. ~44-59 (1994).
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J. M. Martínez. On the global convergence of a
curvilinear search method for unconstrained optimization.
Computational and Applied Mathematics . 11, pp. 227 - 236 (1993).
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J. M. Martínez. A theory of secant preconditioners.
Mathematics of Computation . 60, pp. 681-698 (1993).
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M. A. Diniz-Ehrhardt and J. M. Martínez. A parallel
projection method for overdetermined nonlinear systems of equations.
Numerical Algorithms . 4, pp. 241-262 (1993).
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J. M. Martínez. On the convergence of the column -
updating method. Computational and Applied
Mathematics . 12, pp. 83-94 (1993).
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J. M. Martínez and M. C. Zambaldi. Least change update methods for
nonlinear systems with nondifferentiable terms.
Numerical Functional Analysis and Optimization . 14,
pp. 405-415 (1993).
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J. M. Martínez. Teoría y práctica en optimizaci\'on
numérica. Investigaci\'on Operativa . 3, pp. 7-25 (1993).
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J. M. Martínez. Tend\^encias em programação não linear de
grande porte,
Matemática Universitária . 15, pp. 77-101 (1993).
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M. A. Gomes-Ruggiero and J. M. Martínez. The
column-updating method for solving nonlinear equations in Hilbert
space. RAIRO Mathematical Modelling and Numerical Analysis. 26,
pp. 309-330 (1992).
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M. A. Gomes-Ruggiero, J. M. Martínez and A. C. Moretti.
Comparing algorithms for solving sparse nonlinear systems of
equations. SIAM Journal on Scientific and Statistical Computing. 13,
pp. 459-483 (1992).
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J. M. Martínez and M. C. Zambaldi. An inverse column-updating
method for solving large-scale nonlinear systems of
equations. Optimization Methods and Software. 1, pp. 129-140 (1992).
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F. M. Gomes and J. M. Martínez. Parallel implementations
of Broyden's method. Computing . 47, pp. 361-366 (1992).
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J. M. Martínez. On the relation between two local
convergence theories of least change secant update methods.
Mathematics of Computation . 59, pp. 457-482 (1992).
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J. M. Martínez. Fixed-point quasi-Newton methods.
SIAM Journal on Numerical Analysis . 29, pp. 1413-1434 (1992).
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A. Friedlander and J. M. Martínez. New algorithms for
maximization of concave functions with box constraints.
RAIRO Operations Research . 26, pp. 209 - 236 (1992).
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H. S. Gomes and J. M. Martínez. A numerically stable
reduced-gradient type algorithm for solving large-scale linearly
constrained minimization problems. Computers and Operations
Research . 18, pp. 17-31 (1991).
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J. E. Dennis, N. Echebest, M. Guardarucci, J. M.
Martínez, H. D. Scolnik and C. Vacchino. A curvilinear search using
tridiagonal
secant updates for unconstrained optimization. SIAM Journal on
Optimization . 1, pp. 333-357 (1991).
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J. M. Martínez. Quasi-Newton methods for solving
underdetermined nonlinear simultaneous equations. Journal of
Computational and Applied Mathematics . 34, pp. 171-190 (1991).
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J. M. Martínez. A family of quasi-Newton methods
with direct secant updates of matrix factorizations. SIAM Journal on
Numerical Analysis . 27, pp. 1034-1049 (1990).
|
J. M. Martínez. Local convergence theory of inexact
Newton methods based on structured least change updates. Mathematics
of Computation . 55, pp. 143-167 (1990).
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J. M. Martínez and R. F. Santos. An algorithm for
solving nonlinear least-squares problems with a new curvilinear
search. Computing . 44, pp. 83-90 (1990).
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E. D. Andjel, T. L. Lopes and J. M. Martínez. A linear
continuous transportation problem. Journal of Mathematical Analysis
and
Applications . 141, pp. 424-430 (1989).
|
A. Friedlander and J. M. Martínez. On the numerical
solution of bound constrained optimization problems. RAIRO
Operations Research . 23, pp. 319-341 (1989).
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J. M. Martínez. An accelerated successive orthogonal
projections method for solving large-scale linear feasibility
problems. Computers and Mathematics with
Applications . 15, pp. 367-373 (1988).
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J. M. Martínez. A note on the implementation of the
accelerated successive orthogonal projections method for solving
large-scale linear feasibility problems.
Applied Mathematics Letters. 1, pp. 259-261 (1988).
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J. M. Martínez and A. C. Moretti. An application of the
method of successive orthogonal projections to a feasibility control
problem. Investigação Operacional . 8, pp. 61-66 (1988).
|
J. M. Martínez. Quasi-Newton methods with
factorization scaling for solving sparse nonlinear systems of
equations. Computing . 38, pp. 133-141 (1987).
|
J. M. Martínez. An algorithm for solving sparse
nonlinear least squares problems. Computing . 39, pp. 307-325 (1987).
|
J. M. Martínez. Solution of nonlinear systems of
equations by an optimal projection method. Computing . 37, pp.
59-70 (1986).
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E. Recami, J. M. Martínez and W. T. Zanchin. Does
Thermodynamics require a new expansion after the Big Crunch of
our cosmos?. In
Progress in Particle and Nuclear Physics (vol. 18)., edited
by A. Faessler, Pergamon Press, Oxford, pp. 143-152 (1986).
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J. M. Martínez. The method of successive orthogonal
projections for solving nonlinear simultaneous equations,
Calcolo . 23, pp. 93-105 (1986).
|
J. M. Martínez and R. B. Sampaio. Parallel and sequential
Kaczmarz methods for solving underdetermined nonlinear equations.
Journal of Computational and Applied Mathematics . 15, pp. 311-321 (1986).
|
J. M. Martínez. Solving systems of nonlinear
equations by means of an accelerated successive orthogonal projections
method. Journal of Computational and Applied
Mathematics . 16, pp. 169-179 (1986).
|
J. M. Martínez. The projection method for solving
nonlinear systems of equations under the most violated constraint
control. Computers and Mathematics with
Applications . 11, pp. 987-993 (1985).
|
J. M. Martínez. Sistemas não lineares em grafos e
cálculo de encanamentos
usando microcomputador. Revista Brasileira de
Computação . 4, pp. 127-140 (1984-1985).
|
J. M. Martínez. A quasi-Newton method with
modification of one column per iteration. Computing. 33,
pp. 353-362 (1984).
|
J. M. Martínez. A new Algorithm for nonlinear least
squares problems. Ponencias Libres del 44 Periodo de Sesiones del
ISI (International Statistical Institute). 2, pp. 803-806 (1983).
|
J. M. Martínez. A quasi-Newton method with a new
updating for the LDU factorization of the aproximate Jacobian.
Matemática Aplicada e Computacional. 2, pp. 131-142 (1983).
|
J. M. Martínez and L. S. Ochi. Sobre dois métodos de
Broyden. Matemática Aplicada e Computacional . 1, pp. 135-143 (1982).
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A. R. De Pierro and J. M. Martínez. Some properties of
the Levenberg-Marquardt method for linear systems. Matemática
Aplicada e
Computacional . 1, pp. 191-200 (1982).
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J. M. Martínez. Solving nonlinear simultaneous
equations with a generalization of Brent's
method. BIT . 20, pp. 501-510 (1980).
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T. L. Lopes and J. M. Martínez. Combination of the
sequential secant method and Broyden's method with projected updates.
Computing . 25, pp. 379-386 (1980).
|
J. M. Martínez. A Bound for the Moore-Penrose
inverse of a matrix. Commentationes Mathematicae
Universitatis Carolinae. 20, pp. 357-360 (1979).
|
J. M. Martínez. Generalization of the methods of
Brent and Brown for solving nonlinear simultaneous equations. SIAM
Journal on
Numerical Analysis. 16, pp. 434-448 (1979).
|
J. M. Martínez. Three new algorithms based on the
sequential secant method.
BIT . 19, pp. 236-243 (1979).
|
J. M. Martínez. On the order of convergence of
Broyden-Gay-Schnabel's method, Commentationes Mathematicae
Universitatis Carolinae. 19, pp.
107-118 (1978).
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A. Friedlander, J. M. Martínez and H. D. Scolnik.
Generalized inverses and a new secant type minimization algorithm. In
Optimization Techniques - Proceedings 8th IFIP Conference - Part 2..
Edited
by J. Stoer. Springer-Verlag, pp. 136-146 (1977).
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