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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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An Entropy Optimizing RAS-Equivalent Algorithm for Iterative Matrix Balancing
Comptes rendus. Mathematique, 2023 . We have developed a new simple iterative algorithm to determine entries of a normalized matrix given its marginal probabilities. Our method has been successfully used to obtain two di ff erent solutions by maximizing the entropy of a desired matrix and
Edward Chlebus, Viswatej Kasapu
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Good Characteristics of The New Spectral Conjugate Gradient Method for Unconstrained Optimization
Journal of Physics: Conference Series, 2021 The spectral conjugate gradient (SCG) method is an effective method to solve large-scale nonlinear unconstrained optimization problems. In this work, we propose a new SCG method in which performance is numerically analyzed.
A. H. Sheekoo, G. Al-Naemi
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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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Using Tropical Optimization Techniques to Evaluate Alternatives via Pairwise Comparisons [PDF]
International Conference on Scientific Computing, 2015 We propose a new approach to solve the problem of rating alterna-tives based on their pairwise comparison. The problem is formulatedin terms of tropical algebra, and then reduced to the approximationof pairwise comparison matrices by reciprocal matrices ...
N. Krivulin
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RAIRO Oper. Res., 2021 In this paper, a new modified Perry-type derivative-free projection method for solving largescale nonlinear monotone equations is presented. The method is developed by combining a modified Perry’s conjugate gradient method with the hyperplane projection ...
M. Koorapetse +2 more
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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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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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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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