Výsledky vyhledávání - Numerical methods based on nonlinear programming

A survey of HPC algorithms and frameworks for large-scale gradient-based nonlinear optimization

Autoři: Liu, Felix Fredriksson, Albin Markidis, Stefano

Zdroj: Journal of Supercomputing. 78(16):17513-17542

Témata: HPC, Interior-point method, Nonlinear optimization, Parallel computing, Nonlinear programming, Computing hardware, Gradient based, Large-scales, Non-linear optimization, Numerical optimizations, Optimization problems, Parallel com- puting, Performance computing, Surveys

Popis souboru: print

Přístupová URL adresa: https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-323843
https://doi.org/10.1007/s11227-022-04555-8

Heavy-ball-based relaxed optimal s-thresholding algorithms for solving compressed sensing problem

Autoři: Qiu, Ming Qu, Biao Yang, Yang

Zdroj: Mathematical Foundations of Computing. 8:419-432

Témata: optimal s-thresholding algorithm, convergence, Numerical methods based on nonlinear programming, Nonlinear programming, heavy-ball method, Nonconvex programming, global optimization, compressed sensing

Popis souboru: application/xml

Inexact proximal point method with a Bregman regularization for quasiconvex multiobjective optimization problems via limiting subdifferentials

Autoři: Balendu Bhooshan Upadhyay Subham Poddar Jen-Chih Yao a další

Zdroj: Annals of Operations Research. 345:417-466

Témata: generalized convexity, Numerical optimization and variational techniques, Numerical methods based on nonlinear programming, Mordukhovich subdifferential, multiobjective optimization, Nonconvex programming, global optimization, sparse optimization, proximal point method, Bregman distance

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7985174
https://doi.org/10.1007/s10479-024-06461-z

Polyak Minorant Method for Convex Optimization: Polyak minorant method for convex optimization

Autoři: Nikhil Devanathan Stephen Boyd

Zdroj: Journal of Optimization Theory and Applications. 203:2263-2282

Témata: Methods of successive quadratic programming type, first-order methods, Convex programming, convex optimization, Numerical methods based on nonlinear programming, Optimization and Control (math.OC), bundle methods, FOS: Mathematics, Numerical methods of relaxation type, cutting-plane methods, Mathematics - Optimization and Control

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2310.07922

The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach: The ADMM-PINNs algorithmic framework for nonsmooth PDE-constrained optimization: a deep learning approach

Autoři: Yongcun Song Xiaoming Yuan Hangrui Yue

Zdroj: SIAM Journal on Scientific Computing. 46:C659-C687

Témata: PDEs in connection with control and optimization, FOS: Computer and information sciences, Numerical optimization and variational techniques, Inverse problems for PDEs, Computer Science - Machine Learning, Control/observation systems governed by partial differential equations, Numerical methods based on nonlinear programming, Smoothness and regularity of solutions to PDEs, Nonsmooth analysis, deep learning, PDE constrained optimization (numerical aspects), 01 natural sciences, nonsmooth optimization, Machine Learning (cs.LG), physics-informed neural networks, Optimization and Control (math.OC), FOS: Mathematics, PDE-constrained optimization, 0101 mathematics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, ADMM, Mathematics - Optimization and Control, Artificial neural networks and deep learning

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2302.08309
https://zbmath.org/7955192
https://doi.org/10.1137/23m1566935

Almost-Sure Convergence of Iterates and Multipliers in Stochastic Sequential Quadratic Optimization: Almost-sure convergence of iterates and multipliers in stochastic sequential quadratic optimization

Autoři: Frank E. Curtis Xin Jiang Qi Wang

Zdroj: Journal of Optimization Theory and Applications. 204

Témata: FOS: Computer and information sciences, Computer Science - Machine Learning, Numerical methods based on nonlinear programming, Stochastic approximation, Randomized algorithms, Stochastic programming, almost-sure convergence, Quadratic programming, stochastic optimization, Nonconvex programming, global optimization, sequential quadratic optimization, Numerical methods based on necessary conditions, Machine Learning (cs.LG), Methods of successive quadratic programming type, Numerical mathematical programming methods, Nonlinear programming, Optimization and Control (math.OC), FOS: Mathematics, iterate averaging, 49M05, 49M37, 62L20, 65K05, 68W20, 90C26, 90C30, 90C55, Mathematics - Optimization and Control

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2308.03687
https://zbmath.org/7980142
https://doi.org/10.1007/s10957-024-02568-2

A fixed-time stable forward–backward dynamical system for solving generalized monotone inclusions: A fixed-time stable forward-backward dynamical system for solving generalized monotone inclusions

Autoři: Nam V. Tran Le T. T. Hai Truong V. An a další

Zdroj: Journal of Applied Mathematics and Computing. 70:5857-5885

Témata: Variational methods involving nonlinear operators, Numerical methods based on nonlinear programming, Variational and other types of inequalities involving nonlinear operators (general), Optimization and Control (math.OC), fixed-time stability, FOS: Mathematics, generalized monotone inclusion, Variational inequalities, Mathematics - Optimization and Control, forward-backward method, dynamical system, Set-valued and variational analysis

Popis souboru: application/xml; text

Přístupová URL adresa: http://arxiv.org/abs/2407.08139
https://zbmath.org/8036686
https://doi.org/10.1007/s12190-024-02186-1

A nonlinear split problem regarding variational inequalities and equilibrium problems

Autoři: Tzu-Chien Yin Nawab Hussain Hind Alamri a další

Zdroj: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-18 (2024)

Témata: Variational inequality, Numerical optimization and variational techniques, Convex programming, Numerical methods based on nonlinear programming, Nonlinear transformation, variational inequality, Equilibrium problem, Split problem, split problem, QA1-939, nonlinear transformation, Mathematics, equilibrium problem, Set-valued and variational analysis

Popis souboru: application/xml

Přístupová URL adresa: https://doaj.org/article/011d3da3a7aa4bbabe460873e3aa3e7f

Binary Voronoi linear trees for the approximate solution of functional optimization problems

Autoři: Cristiano Cervellera Danilo Macciò

Zdroj: Computational and Applied Mathematics. 44

Témata: Numerical methods based on nonlinear programming, Numerical mathematical programming methods, functional optimization, decision trees, piecewise-linear models, ensemble methods, nonlinear programming

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8034173
https://doi.org/10.1007/s40314-025-03128-8

An Unconditionally Energy Stable Method for the Anisotropic Phase-Field Crystal Model in Two Dimension: An unconditionally energy stable method for the anisotropic phase-field crystal model in two dimension

Autoři: Yingying Xie Qi Li Liquan Mei

Zdroj: Journal of Scientific Computing. 100

Témata: Lagrange multiplier method, anisotropic phase-field crystal model, Numerical methods based on nonlinear programming, Numerical computation of solutions to systems of equations, mass conservation, Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Dynamic and nonequilibrium phase transitions (general) in statistical mechanics, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Error bounds for initial value and initial-boundary value problems involving PDEs, Numerical mathematical programming methods, unconditional energy dissipation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Crystalline structure, Numerical methods for discrete and fast Fourier transforms, Statistical mechanics of crystals, Crystals in solids, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Computational density functional analysis in statistical mechanics, PDEs in connection with statistical mechanics

Popis souboru: application/xml

New hybrid conjugate gradient algorithm for vector optimization problems

Autoři: Jamilu Yahaya Poom Kumam

Zdroj: Computational and Applied Mathematics. 44

Témata: Pareto-optimality, vector optimization, hybrid as a convex combination, Numerical methods based on nonlinear programming, Nonlinear programming, conjugate gradient method, Methods of reduced gradient type, Nonconvex programming, global optimization, Multi-objective and goal programming

Popis souboru: application/xml

Line Search Filter Methods for Nonlinear Programming: Motivation and Global Convergence: Line search filter methods for nonlinear programming: motivation and global convergence

Autoři: Lorenz T. Biegler Andreas Wächter

Zdroj: SIAM Journal on Optimization. 16:1-31

Témata: Numerical methods based on nonlinear programming, filter method, 0211 other engineering and technologies, Interior-point methods, 02 engineering and technology, nonconvex constrained optimization, 01 natural sciences, Methods of successive quadratic programming type, global convergence, Numerical mathematical programming methods, Nonlinear programming, interior point method, nonlinear programming, barrier method, line search, 0101 mathematics, sequential quadratic programming

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2206226
https://doi.org/10.1137/s1052623403426556

Line Search Filter Methods for Nonlinear Programming: Local Convergence: Line search filter methods for nonlinear programming: local convergence

Autoři: Andreas Wächter Lorenz T. Biegler

Zdroj: SIAM Journal on Optimization. 16:32-48

Témata: Numerical methods based on nonlinear programming, filter method, 0211 other engineering and technologies, 02 engineering and technology, nonconvex constrained optimization, 01 natural sciences, Methods of successive quadratic programming type, Numerical mathematical programming methods, Nonlinear programming, nonlinear programming, local convergence, line search, 0101 mathematics, Maratos effect, second order correction

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2206227
https://doi.org/10.1137/s1052623403426544

A Globally Convergent Filter Method for Nonlinear Programming: A globally convergent filter method for nonlinear programming

Autoři: Elizabeth W. Karas Márcia Vanti Clovis C. Gonzaga

Zdroj: SIAM Journal on Optimization. 14:646-669

Témata: global convergence, Numerical methods based on nonlinear programming, Numerical mathematical programming methods, Nonlinear programming, nonlinear programming, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences, filter methods

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2138011
https://doi.org/10.1137/s1052623401399320
https://dblp.uni-trier.de/db/journals/siamjo/siamjo14.html#GonzagaKV04
https://dl.acm.org/citation.cfm?id=964240.964251
https://doi.org/10.1137/S1052623401399320
https://dl.acm.org/doi/10.1137/S1052623401399320
https://epubs.siam.org/doi/10.1137/S1052623401399320

Primal-Dual Interior Methods for Nonconvex Nonlinear Programming: Primal-dual interior methods for nonconvex nonlinear programming

Autoři: Philip E. Gill Anders Forsgren

Zdroj: SIAM Journal on Optimization. 8:1132-1152

Témata: Large-scale problems in mathematical programming, Numerical methods based on nonlinear programming, barrier methods, 0211 other engineering and technologies, modified Newton methods, 02 engineering and technology, Direct numerical methods for linear systems and matrix inversion, Nonconvex programming, global optimization, constrained minimization, penalty methods, Numerical mathematical programming methods, Nonlinear programming, nonlinear programming, interior methods, primal-dual methods

Popis souboru: application/xml

Přístupová URL adresa: http://www.math.kth.se/~andersf/doc/siopt30556.pdf
https://zbmath.org/1252622
https://doi.org/10.1137/s1052623496305560
https://people.kth.se/~andersf/doc/siopt30556.pdf
https://epubs.siam.org/doi/abs/10.1137/S1052623496305560
https://doi.org/10.1137/S1052623496305560
http://www.ccom.ucsd.edu/~peg/papers/bnlpsiopt.pdf
https://dblp.uni-trier.de/db/journals/siamjo/siamjo8.html#ForsgrenG98
https://locus.siam.org/doi/abs/10.1137/S1052623496305560

On the numerical feasibility of continuation methods for nonlinear programming problems

Autoři: Ralph Lehmann

Zdroj: Mathematische Operationsforschung und Statistik. Series Optimization. 15:517-530

Témata: parametric nonlinear programming, Numerical methods based on nonlinear programming, Numerical mathematical programming methods, Nonlinear programming, 0211 other engineering and technologies, continuation techniques, locally convergent nonlinear programming algorithms, radius of convergence, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3827593
https://www.tandfonline.com/doi/abs/10.1080/02331938408842968

Research on vibration suppression and trajectory tracking control strategy of a flexible link manipulator

Autoři: Mingming Shi Yong Cheng Bao Rong a další

Zdroj: Applied Mathematical Modelling. 110:78-98

Témata: Robot dynamics and control of rigid bodies, residual vibration suppression, crossbreeding PSO algorithm, 0209 industrial biotechnology, Numerical methods based on nonlinear programming, dynamics modeling, trajectory tracking, Automated systems (robots, etc.) in control theory, 02 engineering and technology, Approximation methods and heuristics in mathematical programming, flexible link manipulator

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7635715
https://doi.org/10.1016/j.apm.2022.05.030

Direct Shooting Method for the Numerical Solution of Higher-Index DAE Optimal Control Problems: Direct shooting method for the numerical solution of higher-index DAE optimal control problems

Autoři: Matthias Gerdts

Zdroj: Journal of Optimization Theory and Applications. 117:267-294

Témata: Numerical methods for differential-algebraic equations, Numerical optimization and variational techniques, 0209 industrial biotechnology, higher-index DAE systems, Numerical methods based on nonlinear programming, Optimal control problems with equations with ret. arguments (exist.), 0211 other engineering and technologies, sensitivity of DAE systems, 02 engineering and technology, differential-algebraic systems, optimal control, consistent initial values, Existence theories for optimal control problems involving ordinary differential equations, direct shooting method, nonlinear programming

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1997759
https://doi.org/10.1023/a:1023679622905
https://link.springer.com/article/10.1023/A:1023679622905

Numerical methods for volume preserving image registration

Autoři: Jan Modersitzki Eldad Haber

Zdroj: Inverse Problems. 20:1621-1638

Témata: Numerical optimization and variational techniques, numerical examples, nonlinear optimization problem, Numerical methods based on nonlinear programming, Biomedical imaging and signal processing, medical imaging, Tikhanov regularization, ill-posed problem, 02 engineering and technology, Existence theories for optimal control problems involving partial differential equations, 01 natural sciences, image processing, Methods of successive quadratic programming type, 0202 electrical engineering, electronic engineering, information engineering, Image processing (compression, reconstruction, etc.) in information and communication theory, 0101 mathematics, Image registration, sequential quadratic programming

Popis souboru: application/xml

Přístupová URL adresa: http://www.mathcs.emory.edu/~haber/pubs/HabMod-2004-02-13.pdf
https://zbmath.org/2152813
https://doi.org/10.1088/0266-5611/20/5/018
https://core.ac.uk/display/24700923
http://ui.adsabs.harvard.edu/abs/2004InvPr..20.1621H/abstract
http://www.mathcs.emory.edu/~haber/pubs/HabMod-2004-02-13.pdf
http://www.cas.mcmaster.ca/~modersit/Pubs/2004-IP-HM.pdf
https://iopscience.iop.org/article/10.1088/0266-5611/20/5/018/pdf
https://iopscience.iop.org/article/10.1088/0266-5611/20/5/018

A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations: A class of globally convergent optimization methods based on conservative convex separable approximations

Autoři: Krister Svanberg

Zdroj: SIAM Journal on Optimization. 12:555-573

Témata: constrained minimization, Numerical mathematical programming methods, Numerical methods based on nonlinear programming, 0203 mechanical engineering, Nonlinear programming, nonlinear programming, 0211 other engineering and technologies, method of moving asymptotes, 02 engineering and technology, convex approximations

Popis souboru: application/xml

Přístupová URL adresa: http://www.math.kth.se/~krille/siampaper.pdf