The exactness of the ℓ1 penalty function for a class of mathematical programs with generalized complementarity constraints [PDF]
Fundamental ResearchIn a mathematical program with generalized complementarity constraints (MPGCC), complementarity relation is imposed between each pair of variable blocks.
Yukuan Hu, Xin Liu
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Convergence rate of the modified Levenberg-Marquardt method under Hölderian local error bound
Open Mathematics, 2022 In this article, we analyze the convergence rate of the modified Levenberg-Marquardt (MLM) method under the Hölderian local error bound condition and the Hölderian continuity of the Jacobian, which are more general than the local error bound condition ...
Zheng Lin, Chen Liang, Tang Yangxin
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Topological Algebra and its Applications, 2022 Conjugate gradient methods are very popular for solving large scale unconstrained optimization problems because of their simplicity to implement and low memory requirements.
Diphofu T., Kaelo P., Tufa A.R.
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A new conjugate gradient method for acceleration of gradient descent algorithms
Moroccan Journal of Pure and Applied Analysis, 2021 An accelerated of the steepest descent method for solving unconstrained optimization problems is presented. which propose a fundamentally different conjugate gradient method, in which the well-known parameter βk is computed by an new formula.
Rahali Noureddine +2 more
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Optimization of Univariate Functions on Bounded Intervals by Interpolation and Semidefinite Programming [PDF]
, 2006 AMS classifications: 65D05; 65K05; 90C22;
de Klerk, E. +2 more
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On representations of the feasible set in convex optimization [PDF]
, 2009 We consider the convex optimization problem $\min \{f(x) : g_j(x)\leq 0, j=1,...,m\}$ where $f$ is convex, the feasible set K is convex and Slater's condition holds, but the functions $g_j$ are not necessarily convex.
A. Ben-Tal +8 more
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New inertial forward–backward algorithm for convex minimization with applications
Demonstratio Mathematica, 2023 In this work, we present a new proximal gradient algorithm based on Tseng’s extragradient method and an inertial technique to solve the convex minimization problem in real Hilbert spaces.
Kankam Kunrada +2 more
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An elementary approach to polynomial optimization on polynomial meshes [PDF]
, 2018 A polynomial mesh on a multivariate compact set or manifold is a sequence of finite norming sets for polynomials whose norming constant is independent of degree.
Vianello, Marco
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Positive diagonal scaling of a nonnegative tensor to one with prescribed slice sums [PDF]
, 2009 In this paper we give necessary and sufficient conditions on a nonnegative tensor to be diagonally equivalent to a tensor with prescribed slice sums. These conditions are variations of Bapat-Raghavan and Franklin-Lorenz conditions.Comment: 6 pages, new ...
Friedland, Shmuel
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A Dai-Liao-type projection method for monotone nonlinear equations and signal processing
Demonstratio Mathematica, 2022 In this article, inspired by the projection technique of Solodov and Svaiter, we exploit the simple structure, low memory requirement, and good convergence properties of the mixed conjugate gradient method of Stanimirović et al.
Ibrahim Abdulkarim Hassan +4 more
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