Convexification of bilinear forms through non-symmetric lifting

被引：1

作者：

Fampa, Marcia ^{[1
]}

Lee, Jon ^{[2
]}

机构：

[1] Univ Fed Rio de Janeiro, Rio De Janeiro, Brazil

[2] Univ Michigan, Ann Arbor, MI 48109 USA

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2021年 / 80卷 / 02期

关键词：

Global optimization; Quadratic; Bilinear; Mixing; GLOBAL OPTIMIZATION; RELAXATION; PROGRAMS;

D O I：

10.1007/s10898-020-00975-z

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We efficiently treat bilinear forms in the context of global optimization, by applying McCormick convexification and by extending an approach of Saxena et al. (Math Prog Ser B 124(1-2):383-411, 2010) for symmetric quadratic forms to bilinear forms. A key application of our work is in treating "structural convexity" in a symmetric quadratic form.

引用

页码：287 / 305

页数：19

共 50 条

[21] An Averaging Principle for Stochastic Flows and Convergence of Non-Symmetric Dirichlet Forms
Barret, Florent
Raimond, Olivier
[J]. POTENTIAL ANALYSIS, 2022, 56 (03) : 483 - 548
[22] HARMONIC SPACES ASSOCIATED WITH NON-SYMMETRIC TRANSLATION INVARIANT DIRICHLET FORMS
FORST, G
[J]. INVENTIONES MATHEMATICAE, 1976, 34 (02) : 135 - 150
[23] An Averaging Principle for Stochastic Flows and Convergence of Non-Symmetric Dirichlet Forms
Florent Barret
Olivier Raimond
[J]. Potential Analysis, 2022, 56 : 483 - 548
[24] A NOTE ON PERTURBATION OF NON-SYMMETRIC DIRICHLET FORMS BY SIGNED SMOOTH MEASURES
陈传钟
[J]. Acta Mathematica Scientia, 2007, (01) : 219 - 224
[25] Stochastic calculus for Markov processes associated with non-symmetric Dirichlet forms
ChuanZhong Chen
Li Ma
Wei Sun
[J]. Science China Mathematics, 2012, 55 : 2195 - 2203
[26] Conservativeness of non-symmetric diffusion processes generated by perturbed divergence forms
Takeda, Masayoshi
Trutnau, Gerald
[J]. FORUM MATHEMATICUM, 2012, 24 (02) : 419 - 444
[27] Symmetric and non-symmetric controllers for symmetric systems
Ikeda, M
Zhai, GS
Miki, K
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2003, : 301 - 304
[28] SYMMETRIC AND NON-SYMMETRIC LAMBERTSON MAGNETS
HARRISON, M
RAD, FN
[J]. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1984, 227 (03): : 401 - 410
[29] Construction of symmetric and symplectic bilinear forms
Knüppel, F
[J]. GEOMETRIAE DEDICATA, 1999, 76 (03) : 253 - 264
[30] SIMULTANEOUS DIAGONALIZATION OF SYMMETRIC BILINEAR FORMS
WONENBURGER, MJ
[J]. JOURNAL OF MATHEMATICS AND MECHANICS, 1966, 15 (04): : 617 - +

← 1 2 3 4 5 →