Search Results - Linearly constrained quadratic optimization problems with complementary constraints~

On Local Minimizers of Quadratically Constrained Nonconvex Homogeneous Quadratic Optimization with at Most Two Constraints

Authors: Song, Mengmeng Liu, Hongying Xia, Yong

Subject Terms: Optimization and Control (math.OC), 0211 other engineering and technologies, FOS: Mathematics, 02 engineering and technology, 90C46, 90C26, 90C20, 90C32, Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2107.05816

Convergence of Three-Block ADMM for Weakly Convex Optimization Problems.

Authors: Xin Chen Chunfeng Cui Deren Han

Source: SIAM Journal on Imaging Sciences; 2025, Vol. 18 Issue 1, p449-493, 45p

Engineering Problems - Uncertainties, Constraints and Optimization Techniques

Authors: Marcos S.G. Tsuzuki Rogerio Yugo Takimoto Andre Kubagawa Sato et al.

Resource Type: eBook.

Subjects: Engineering mathematics, Mathematical optimization

Categories: TECHNOLOGY & ENGINEERING / Industrial Design / General

An application of Arctic puffin optimization algorithm of a production model for selling price and green level dependent demand with interval uncertainty.

Authors: Ali H Al-Amin Khan M Shaikh AA et al.

Source: Scientific reports [Sci Rep] 2025 Jul 28; Vol. 15 (1), pp. 27437. Date of Electronic Publication: 2025 Jul 28.

Publication Type: Journal Article

Journal Info: Publisher: Nature Publishing Group Country of Publication: England NLM ID: 101563288 Publication Model: Electronic Cited Medium: Internet ISSN: 2045-2322 (Electronic) Linking ISSN: 20452322 NLM ISO Abbreviation: Sci Rep Subsets: PubMed not MEDLINE; MEDLINE

Limiting behavior of the central path in semidefinite optimization.

Authors: Halická, M. de Klerk, E. Roos, C.

Source: Optimization Methods & Software; Feb2005, Vol. 20 Issue 1, p99-113, 15p

Subject Terms: COINCIDENCE theory, STOCHASTIC convergence, MATHEMATICAL optimization, MATHEMATICAL functions, FIXED point theory, TOPOLOGY

Spectrahedral cones generated by rank 1 matrices.

Authors: Hildebrand, Roland

Source: Journal of Global Optimization; Feb2016, Vol. 64 Issue 2, p349-397, 49p

Subject Terms: MATRICES (Mathematics), VECTOR spaces, SUBSPACES (Mathematics), CONES, ISOMORPHISM (Mathematics), CONSTRAINED optimization

On Squared-Variable Formulations.

Authors: Ding, Lijun Wright, Stephen J.

Source: SIAM Journal on Optimization; 2025, Vol. 35 Issue 4, p2265-2293, 29p

Subject Terms: CONSTRAINED optimization, LINEAR programming, COMPUTATIONAL complexity, LAGRANGE multiplier, ALGORITHMS, QUADRATIC equations

ON INTEGRALITY IN SEMIDEFINITE PROGRAMMING FOR DISCRETE OPTIMIZATION.

Authors: DE MEIJER, FRANK SOTIROV, RENATA

Source: SIAM Journal on Optimization; 2024, Vol. 34 Issue 1, p1071-1096, 26p

Subject Terms: SEMIDEFINITE programming, QUADRATIC assignment problem, CONSTRAINT programming

The exact solution of multiparametric quadratically constrained quadratic programming problems.

Authors: Pappas, Iosif Diangelakis, Nikolaos A. Pistikopoulos, Efstratios N.

Source: Journal of Global Optimization; 2021, Vol. 79 Issue 1, p59-85, 27p

Subject Terms: QUADRATIC programming, NONLINEAR functions, GLOBAL optimization, QUASILINEARIZATION

A Study of Piecewise Linear-Quadratic Programs.

Authors: Cui, Ying Chang, Tsung-Hui Hong, Mingyi et al.

Source: Journal of Optimization Theory & Applications; Aug2020, Vol. 186 Issue 2, p523-553, 31p

Subject Terms: DIRECTIONAL derivatives, SCHUR complement, CONSTRAINED optimization

A Sequential Quadratically Constrained Quadratic Programming Method of Feasible Directions.

Authors: Jian, Jin-bao Hu, Qing-jie Tang, Chun-ming et al.

Source: Applied Mathematics & Optimization; Nov/Dec2007, Vol. 56 Issue 3, p343-363, 21p, 1 Chart

Subject Terms: QUADRATIC programming, CONSTRAINED optimization, MATHEMATICAL optimization, STOCHASTIC convergence, QUADRATIC equations, ALGORITHMS

On the tightness of SDP relaxations of QCQPs.

Authors: Wang, Alex L. Kılınç-Karzan, Fatma

Source: Mathematical Programming; May2022, Vol. 193 Issue 1, p33-73, 41p

Subject Terms: NONCONVEX programming, SEMIDEFINITE programming, QUADRATIC programming, GLOBAL optimization, EIGENVALUES

PARAMETRIC APPROACH TO SOME LINEARLY CONSTRAINED OPTIMIZATION PROBLEMS USING SIMPLEX-TYPE METHODS.

Authors: Wu, Kuang-Yao

Source: Journal of the Chinese Institute of Industrial Engineers; Jan2006, Vol. 23 Issue 3, p215-221, 7p

A Computational Study of the Homogeneous Algorithm for Large-scale Convex Optimization.

Authors: Andersen, Erling Ye, Yinyu

Source: Computational Optimization & Applications; Jul1998, Vol. 10 Issue 3, p243-269, 27p

Variational Viewpoint of the Quadratic Markov Measure Field Models: Theory and Algorithms.

Authors: Rivera, Mariano Dalmau, Oscar

Source: IEEE Transactions on Image Processing; Mar2012, Vol. 21 Issue 3, p1246-1257, 12p

Subject Terms: MARKOV random fields, ALGORITHMS, QUADRATIC programming, MARKOV processes, ENTROPY (Information theory), BAYESIAN analysis, COMPUTER vision, INFORMATION measurement

On the local stability of semidefinite relaxations.

Authors: Cifuentes, Diego Agarwal, Sameer Parrilo, Pablo A. et al.

Source: Mathematical Programming; Jun2022, Vol. 193 Issue 2, p629-663, 35p

Subject Terms: SEMIDEFINITE programming, PRINCIPAL components analysis, SYSTEM identification

ON LOCAL MINIMIZERS OF NONCONVEX HOMOGENEOUS QUADRATICALLY CONSTRAINED QUADRATIC OPTIMIZATION WITH AT MOST TWO CONSTRAINTS.

Authors: MENGMENG SONG HONGYING LIU JIULIN WANG et al.

Source: SIAM Journal on Optimization; 2023, Vol. 33 Issue 1, p267-293, 27p

Subject Terms: POLYNOMIAL time algorithms, CONSTRAINED optimization, LEAST squares, EIGENVALUES, ELLIPSOIDS, GENERALIZATION

On the mathematical structure and numerical solution of discrete–continuous optimization problems in DDCM.

Authors: Gebhardt, Cristian G. Lange, Senta Steinbach, Marc C.

Source: Zeitschrift für Angewandte Mathematik und Physik (ZAMP); Oct2025, Vol. 76 Issue 5, p1-27, 27p

Subject Terms: STRUCTURAL optimization, FINITE element method, MATHEMATICAL analysis, ELASTICITY

A successive domain-reduction scheme for linearly constrained quadratic integer programming problems.

Authors: Wang, Fenlan

Source: Journal of the Operational Research Society; Oct 2021, Vol. 72 Issue 10, p2317-2330, 14p

Subject Terms: INTEGER programming, QUADRATIC programming, ALGORITHMS, CONVEX programming, INTEGERS

Penalized semidefinite programming for quadratically-constrained quadratic optimization.

Authors: Madani, Ramtin Kheirandishfard, Mohsen Lavaei, Javad et al.

Source: Journal of Global Optimization; Nov2020, Vol. 78 Issue 3, p423-451, 29p

Subject Terms: QUADRATIC programming, SEMIDEFINITE programming, NONCONVEX programming, SYSTEM identification, BENCHMARK problems (Computer science)