Search Results - Numerical methods in mathematical programming, optimization and calculus of variations

Coderivative-based semi-Newton method in nonsmooth difference programming.

Authors: Aragón-Artacho, Francisco J. Mordukhovich, Boris S. Pérez-Aros, Pedro

Source: Mathematical Programming. Sep2025, Vol. 213 Issue 1/2, p385-432. 48p.

Subject Terms: *MATHEMATICAL optimization, NONSMOOTH optimization, VARIATIONAL inequalities (Mathematics), CALCULUS of variations, VARIATIONAL approach (Mathematics), NONLINEAR functions, NEWTON-Raphson method, BIOCHEMICAL models

People: NEWTON, Isaac, 1642-1727

Optimization and Applications: Optimization and applications

Authors: Claude Lemaréchal Florian Jarre Jochem Zowe

Source: Oberwolfach Reports. 2:69-133

Subject Terms: Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control, Collections of abstracts of lectures, Numerical methods for mathematical programming, optimization and variational techniques, Mathematical programming, Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to numerical analysis, Proceedings, conferences, collections, etc. pertaining to operations research and mathematical programming

File Description: application/xml

Access URL: https://zbmath.org/2195684
https://doi.org/10.4171/owr/2005/02
https://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=2&iss=1&rank=2

Nonintrusive reduced order model for parametric solutions of inertia relief problems

Authors: Cavaliere, Fabiola Zlotnik, Sergio Sevilla Cárdenas, Rubén et al.

Contributors: Cavaliere, Fabiola Zlotnik, Sergio Sevilla Cárdenas, Rubén et al.

Subject Terms: Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Càlcul de variacions, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, Numerical analysis, Mathematical optimization, Strength of materials, Proper generalized decomposition, Inertia relief, Nonintrusive, Reduced order model, Shape optimization, Anàlisi numèrica, Optimització matemàtica, Resistència de materials, Classificació AMS::65 Numerical analysis::65K Mathematical programming, optimization and variational techniques, Classificació AMS::49 Calculus of variations and optimal control, optimization::49K Necessary conditions and sufficient conditions for optimality, Classificació AMS::74 Mechanics of deformable solids::74P Optimization

File Description: 22 p.; application/pdf

Relation: info:eu-repo/grantAgreement/EC/H2020/764636/EU/Industrial decision-making on complex production technologies supported by simulation-based engineering/ProTechTion; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2017-85139-C2-2-R/ES/ASIMILACION DE DATOS PARA UNA SIMULACION INGENIERIL CREIBLE/; https://arxiv.org/pdf/2012.01961.pdf; http://hdl.handle.net/2117/355952

Availability: http://hdl.handle.net/2117/355952
https://arxiv.org/pdf/2012.01961.pdf
https://doi.org/10.1002/nme.6702

Dynamical system decomposition and analysis using convex optimization

Authors: Anderson, James David Papachristodoulou, Antonis

Contributors: Anderson, James David Papachristodoulou, Antonis

Subject Terms: 519.6, Control engineering, Mathematical modeling (engineering), Calculus of variations and optimal control, Mathematical biology, Convex optimization, Dynamical systems

Access URL: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.580954

Numerical Comparison of Augmented Lagrangian Algorithms for Nonconvex Problems.

Authors: Birgin, E. G. Castillo, R. A. Martínez, J. M.

Source: Computational Optimization & Applications. May2005, Vol. 31 Issue 1, p31-55. 25p. 5 Charts, 1 Graph.

Subject Terms: *MATHEMATICAL optimization, *MATHEMATICAL programming, *MATHEMATICAL analysis, LAGRANGIAN functions, CALCULUS of variations, DYNAMICS, NONCONVEX programming

Segmentation of image: by variational methods: A constructive approach: Segmentation of images by variational methods: a constructive approach

Authors: Jean-Michel Morel Sergio Solimini

Source: Revista Matemática Complutense. 1

Subject Terms: Computing methodologies and applications, Numerical methods for mathematical programming, optimization and variational techniques, computer graphics, variational methods, 0202 electrical engineering, electronic engineering, information engineering, image-segmentation, 02 engineering and technology, Existence theories in calculus of variations and optimal control, total least squares, Numerical approximation and computational geometry (primarily algorithms), image processing

File Description: application/xml

Access URL: https://revistas.ucm.es/index.php/REMA/article/download/REMA8888110169A/17337
https://zbmath.org/4114127
https://documat.unirioja.es/servlet/articulo?codigo=913760
http://revistas.ucm.es/index.php/REMA/article/view/REMA8888110169A
https://dialnet.unirioja.es/servlet/articulo?codigo=913760
https://eudml.org/doc/43135

On a two-phase approximate greatest descent method for nonlinear optimization with equality constraints

Authors: King Hann Lim B. S. Goh Hendra G. Harno et al.

Source: Numerical Algebra, Control and Optimization. 8:315-326

Subject Terms: Numerical optimization and variational techniques, Lyapunov function, Applications of mathematical programming, equality constraints, Nonlinear programming, Other numerical methods in calculus of variations, two-phase AGD method, 0211 other engineering and technologies, Lagrange multiplier, 02 engineering and technology, nonlinear optimization

File Description: application/xml

Access URL: https://www.aimsciences.org/article/exportPdf?id=bc1e695c-9bde-419b-b318-f4bf766d22b8
https://zbmath.org/7006513
https://doi.org/10.3934/naco.2018020
https://aimsciences.org/article/doi/10.3934/naco.2018020
https://www.aimsciences.org/article/exportPdf?id=bc1e695c-9bde-419b-b318-f4bf766d22b8

A successive quadratic programming method for a class of constrained nonsmooth optimization problems

Authors: Masao Fukushima

Source: Mathematical Programming. 49:231-251

Subject Terms: Convex programming, Nonlinear programming, Computational methods for problems pertaining to operations research and mathematical programming, Other numerical methods in calculus of variations, approximating Kuhn-Tucker points, Nonsmooth analysis, 0211 other engineering and technologies, iterative cutting-plane type approach, line search, 02 engineering and technology, Quadratic programming, exact penalization, constrained nonsmooth optimization

File Description: application/xml

Access URL: https://zbmath.org/8749
https://doi.org/10.1007/bf01588789

An Iterative Regularization Method for Total Variation-Based Image Restoration: An iterative regularization method for total variation-based image restoration

Authors: Stanley Osher Jinjun Xu Donald Goldfarb et al.

Source: Multiscale Modeling & Simulation. 4:460-489

Subject Terms: deblurring, Applications of functional analysis in optimization, convex analysis, mathematical programming, economics, Numerical solution to inverse problems in abstract spaces, 02 engineering and technology, Applications of operator theory in systems, signals, circuits, and control theory, Computing methodologies for image processing, 01 natural sciences, total variation, Bregman distances, Other numerical methods in calculus of variations, iterative regularization, denoising, 0202 electrical engineering, electronic engineering, information engineering, Image processing (compression, reconstruction, etc.) in information and communication theory, 0101 mathematics

File Description: application/xml

Access URL: http://www.corc.ieor.columbia.edu/reports/techreports/tr-2004-03.pdf

Solving multi‐objective dynamic optimization problems with fuzzy satisfying method: Solving multi-objective dynamic optimization problems with fuzzy satisfying method

Authors: Chen, C.L. Sun, D.Y. Chang, C.Y.

Contributors: Chen, C.L. Sun, D.Y. Chang, C.Y.

Source: Optimal Control Applications and Methods. 24:279-296

Subject Terms: optimal control, fuzzy set, multi-objective optimization, Other numerical methods in calculus of variations, iterative dynamic programming, Fuzzy and other nonstochastic uncertainty mathematical programming, 02 engineering and technology, 0204 chemical engineering, 0210 nano-technology, Multi-objective and goal programming

File Description: application/xml; application/pdf; 174026 bytes

Access URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/87022/1/05.pdf
https://zbmath.org/2214235
https://doi.org/10.1002/oca.732
http://onlinelibrary.wiley.com/doi/10.1002/oca.732/abstract?globalMessage=0
http://ntur.lib.ntu.edu.tw/bitstream/246246/87022/1/05.pdf
https://onlinelibrary.wiley.com/doi/abs/10.1002/oca.732

On convergence rate estimates for power penalty methods

Authors: Avakov E.R. Arutyunov A.V. Izmailov A.F.

Source: Computational Mathematics and Mathematical Physics

Subject Terms: dynamic programming, Convergence rate estimates, Mathematical programming problems, Other numerical methods in calculus of variations, Dynamic programming in optimal control and differential games, Optimality conditions for free problems in one independent variable, convergence rate estimate, Power penalty method, Dynamic programming, Optimization methods, power penalty method, optimization

File Description: application/xml

Access URL: https://zbmath.org/2206841
https://openrepository.ru/article?id=254074

Interior Methods for Nonlinear Optimization: Interior methods for nonlinear optimization

Authors: Philip E. Gill Margaret H. Wright Anders Forsgren

Source: SIAM Review. 44:525-597

Subject Terms: Numerical methods based on nonlinear programming, barrier methods, 0211 other engineering and technologies, Interior-point methods, 02 engineering and technology, Direct numerical methods for linear systems and matrix inversion, constrained minimization, penalty methods, Numerical mathematical programming methods, Nonlinear programming, Other numerical methods in calculus of variations, nonlinear constraints, nonlinear programming, interior methods, primal-dual methods

File Description: application/xml

Access URL: http://www.math.kth.se/~andersf/doc/sirev41494.pdf

Propagation and Optimal Control of Space Trajectories Using Perturbation Methods

Authors: Gonzalo Gómez, Juan Luis

Thesis Advisors: Bombardelli, Claudio, Peláez Álvarez, Jesús

Subject Terms: Aeronáutica

Access URL: http://hdl.handle.net/10803/454622

General Information.

Source: Journal of Optimization Theory & Applications; Jan2004, Vol. 120 Issue 1, p213-222, 10p

Subject Terms: PERIODICALS, SCHOLARLY periodicals, PERIODICAL publishing, MATHEMATICAL optimization, LINEAR programming, NONLINEAR programming, DYNAMIC programming, GAME theory

Partitioned quasi-Newton methods for nonlinear equality constrained optimization

Authors: Peter A. Fenyes Thomas F. Coleman

Source: Mathematical Programming. 53:17-44

Subject Terms: minimum change condition, Numerical optimization and variational techniques, Numerical mathematical programming methods, equality constraints, Nonlinear programming, Computational methods for problems pertaining to operations research and mathematical programming, Other numerical methods in calculus of variations, Numerical computation of solutions to systems of equations, 0211 other engineering and technologies, quasi-Newton method, 02 engineering and technology, Quadratic programming, constrained optimization

File Description: application/xml

Access URL: https://ecommons.cornell.edu/bitstream/1813/6771/1/88-931.pdf
https://link.springer.com/article/10.1007%2FBF01585692
https://dblp.uni-trier.de/db/journals/mp/mp53.html#ColemanF92

Selected Methods for Designing Monetary and Fiscal Targeting Rules Within the Policy Mix Framework.

Authors: Przybylska-Mazur, Agnieszka

Source: Entropy; Oct2025, Vol. 27 Issue 10, p1082, 24p

Subject Terms: MONETARY policy, FISCAL policy, DYNAMIC programming, CONSTRAINED optimization, MATHEMATICAL optimization, POLICY sciences, GROSS domestic product, MATHEMATICAL programming

Improving the performance of weighted Lagrange-multiplier methods for nonlinear constrained optimization

Authors: Yi Shang Benjamin W. Wah Tao Wang et al.

Source: Proceedings Ninth IEEE International Conference on Tools with Artificial Intelligence. :224-231

Subject Terms: multipliers filter-bank design, nonlinear integer programming, 0211 other engineering and technologies, Integer programming, 02 engineering and technology, nonlinear constrained optimization, QMF filter-bank design, Numerical mathematical programming methods, Nonlinear programming, adaptive weights, Other numerical methods in calculus of variations, nonlinear programming, 0202 electrical engineering, electronic engineering, information engineering, Lagrange-multiplier method

File Description: application/xml

Access URL: https://zbmath.org/1455852
https://doi.org/10.1016/s0020-0255(99)00081-x
http://www.sciencedirect.com/science/article/pii/S002002559900081X
https://dblp.uni-trier.de/db/journals/isci/isci124.html#WahWSW00
https://doi.org/10.1016/S0020-0255(99)00081-X
https://www.sciencedirect.com/science/article/pii/S002002559900081X
https://dblp.uni-trier.de/db/conf/ictai/ictai1997.html#WahWSW97
https://doi.ieeecomputersociety.org/10.1109/TAI.1997.632260
https://ieeexplore.ieee.org/document/632260/
https://www.computer.org/csdl/proceedings-article/ictai/1997/82030224/12OmNzWfoS2

Saddle-Point Criteria in an η-Approximation Method for Nonlinear Mathematical Programming Problems Involving Invex Functions.

Authors: Antczak, T.

Source: Journal of Optimization Theory & Applications; Jan2007, Vol. 132 Issue 1, p71-87, 17p

Subject Terms: METHOD of steepest descent (Numerical analysis), NONLINEAR programming, NONLINEAR theories, MATHEMATICAL optimization, LAGRANGE equations, CALCULUS of variations, CONVEX functions, CONVEX programming, LAGRANGIAN functions

On the Realization of the Wolfe Conditions in Reduced Quasi-Newton Methods for Equality Constrained Optimization: On the realization of the Wolfe conditions in reduced quasi-Newton methods for equality constrained optimization

Authors: Gilbert, Jean Charles Inria, Rapport De Recherche

Contributors: Gilbert, Jean Charles Inria, Rapport De Recherche

Source: SIAM Journal on Optimization. 7:780-813

Subject Terms: reduced quasi-Newton method, 0211 other engineering and technologies, Wolfe's conditions, successive quadratic programming, 02 engineering and technology, Quadratic programming, exact penalty function, SQP, constrained optimization, [INFO.INFO-OH] Computer Science [cs]/Other [cs.OH], global convergence, piecewise line-search, Numerical mathematical programming methods, Other numerical methods in calculus of variations

File Description: application/xml; application/pdf

Access URL: http://www-rocq.inria.fr/~gilbert/preprint/12+pls.pdf
https://locus.siam.org/doi/abs/10.1137/S1052623493259604
https://hal.inria.fr/inria-00074545/document
https://hal.inria.fr/inria-00074545
https://dblp.uni-trier.de/db/journals/siamjo/siamjo7.html#Gilbert97
https://epubs.siam.org/doi/pdf/10.1137/S1052623493259604

Editorial for the Special Issue of Axioms "Calculus of Variations, Optimal Control and Mathematical Biology: A Themed Issue Dedicated to Professor Delfim F. M. Torres on the Occasion of His 50th Birthday".

Authors: Martins, Natália Almeida, Ricardo Silva, Cristiana J. et al.

Source: Axioms (2075-1680); Feb2023, Vol. 12 Issue 2, p110, 5p

Subject Terms: MATHEMATICAL programming, FRACTIONAL calculus, BIOLOGY, APPLIED sciences, MATHEMATICAL analysis, BIOMATHEMATICS, CALCULUS of variations