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algebra (58) 58
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Mathematical Programming, ISSN 0025-5610, 09/2016, Volume 159, Issue 1-2, pp. 435 - 467
Journal Article
Journal Article
Journal of Information and Optimization Sciences, ISSN 0252-2667, 04/2019, Volume 40, Issue 3, pp. 615 - 632
This paper aims to study how much "generalized" invex properties differ from invexity and to establish whether or not the use of more and more parameters and... 
90C26 | 90C30 | 90C46 | Generalized convexity | generalized invexity
Journal Article
Numerische Mathematik, ISSN 0029-599X, 7/2015, Volume 130, Issue 3, pp. 567 - 577
This note proposes a novel approach to derive a worst-case $$O(1/k)$$ O ( 1 / k ) convergence rate measured by the iteration complexity in a non-ergodic sense... 
Mathematical Methods in Physics | 90C30 | 90C25 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Numerical and Computational Physics | Mathematics, general | Mathematics | MATHEMATICS, APPLIED | Yuan (China) | Methods
Journal Article
Journal of Information and Optimization Sciences, ISSN 0252-2667, 08/2018, Volume 39, Issue 6, pp. 1223 - 1230
Quadratic programming problem with bounded below (bounded above, respectively) quadratic objective function over a feasible region, defined as Minkowski sum of... 
90C20 | 90C30 | Quadratic programming | Existence of solution
Journal Article
Optimization Methods and Software, ISSN 1055-6788, 11/2019, Volume 34, Issue 6, pp. 1322 - 1341
In this work, we present a new feasible direction algorithm for solving smooth nonlinear second-order cone programs. These consist of minimizing a nonlinear... 
Second-order cone programming | Feasible direction | Interior-point methods | 90C51 | 90C30 | 49M15 | Support vector machines | Algorithms
Journal Article
Mathematics of Operations Research, ISSN 0364-765X, 2/2020, Volume 45, Issue 1, pp. 86 - 98
We study the convergence rate of a hierarchy of upper bounds for polynomial optimization problems, proposed by Lasserre, and a related hierarchy by de Klerk,... 
Jacobi polynomials | Primary: programming: nonlinear (theory) | 90C30 | 90C22 | extremal roots of orthogonal polynomials | polynomial optimization | Lasserre hierarchy | 90C26 | semidefinite optimization
Journal Article
Optimization Methods and Software, ISSN 1055-6788, 2019, pp. 1 - 16
Journal Article
Mathematical Programming Computation, ISSN 1867-2949, 12/2010, Volume 2, Issue 3, pp. 203 - 230
We present an alternating direction dual augmented Lagrangian method for solving semidefinite programming (SDP) problems in standard form. At each iteration,... 
Alternating direction method | Augmented Lagrangian method | Semidefinite programming | 90C30 | 90C35 | Operations Research/Decision Theory | 90C22 | 90C06 | Mathematics | Optimization
Journal Article
Experimental Mathematics, ISSN 1058-6458, 01/2015, Volume 24, Issue 1, pp. 98 - 105
Kepler (1619) and Croft (1980) considered the problem of finding the largest homothetic copies of one regular polyhedron contained in another regular... 
polytopes | 90C30 | 51M20 | 52C17 | nonlinear optimization | MATHEMATICS
Journal Article