Determinantmaxrmin Tion Of A Nonsymmetric Matrix With Quadratic Constraints
This paper presents the problem of maximizing the determinant of a K-square real matrix B, subject to the constraint that each row b k of B satisfies b 1, where # 1 ,...,# K , are K given real symmetric positive definite matrices.
Abdelhamid Zaïdi +2 more
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Sample Average Approximation with Sparsity-Inducing Penalty for High-Dimensional Stochastic Programming. [PDF]
Liu H, Wang X, Yao T, Li R, Ye Y.
europepmc +1 more source
The convergence and the complexity of a primal-dual column generation and cutting plane algorithm from approximate analytic centers for solving convex feasibility problems defined by a "deep cut" separation oracle is studied.
Faranak Sharifi-Mokhtarian +1 more
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Optimality condition and iterative thresholding algorithm for [Formula: see text]-regularization problems. [PDF]
Jiao H, Chen Y, Yin J.
europepmc +1 more source
Saddle Points and Pareto Points in Multiple Objective Programming
In this paper relationships between Pareto points and saddle points in multiple objective programming are investigated. Convex and nonconvex problems are considered and the equivalence between Pareto points and saddle points is proved in both cases.
Matthias Ehrgott, Margaret M. Wiecek
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A general double-proximal gradient algorithm for d.c. programming. [PDF]
Banert S, Boț RI.
europepmc +1 more source
A Derivative-Free Line Search and Global Convergence of Broyden-Like Method for Nonlinear Equations
In this paper, by using derivative-free line search, we propose quasi-Newton methods for smooth nonlinear equations. Under appropriate conditions, we show that the proposed quasi-Newton methods converge globally and superlinearly.
Dong-hui Li, Masao Fukushima
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Fast convergence of trust-regions for non-isolated minima via analysis of CG on indefinite matrices. [PDF]
Rebjock Q, Boumal N.
europepmc +1 more source
An efficient method for generalized linear multiplicative programming problem with multiplicative constraints. [PDF]
Zhao Y, Liu S.
europepmc +1 more source
Global search based on efficient diagonal partitions and a set of Lipschitz constants
. In the paper, the global optimization problem of a multidimensional “black-box” function satisfying the Lipschitz condition over a hyperinterval with an unknown Lipschitz constant is considered.
Yaroslav D. Sergeyev, Dmitri, E. Kvasov
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