A Modified Dai-Liao Conjugate Gradient Method Based on a Scalar Matrix Approximation of Hessian and Its Application : научное издание

Ivanov Branislav; Milovanović Gradimir V.; Stanimirović Predrag S.; Awwal Aliyu Muhammed; Kazakovtsev Lev A.; Krutikov Vladimir N.

Дополнительные ссылки: eLibrary

База данных: Каталог библиотеки СФУ

Библиографическое описание: A Modified Dai-Liao Conjugate Gradient Method Based on a Scalar Matrix Approximation of Hessian and Its Application : научное издание / B. B. Ivanov [et al.]. - Текст : непосредственный // Journal of Mathematics. - 2023. - Т. 2023, № . - P. 9945581. - Te work of the second author is supported in part by the Serbian Academy of Sciences and Arts (Φ-96). Predrag Stanimirovi ́c acknowledges support from the Science Fund of the Republic of Serbia (grant no. 7750185, Quantitative Automata Models: Fundamental Problems and Applications- QUAM). Tis work was supported by the Ministry of Science and Higher Education of the Russian Federation(grant no. 075-15-2022-1121). - ISSN 2314-4629. - ISSN 2314-4785, DOI 10.1155/2023/9945581.

Аннотация: We introduce and investigate proper accelerations of the Dai–Liao (DL) conjugate gradient (CG) family of iterations for solving large-scale unconstrained optimization problems. The improvements are based on appropriate modifications of the CG update parameter in DL conjugate gradient methods. The leading idea is to combine search directions in accelerated gradient descent methods, defined based on the Hessian approximation by an appropriate diagonal matrix in quasi-Newton methods, with search directions in DL-type CG methods. The global convergence of the modified Dai–Liao conjugate gradient method has been proved on the set of uniformly convex functions. The efficiency and robustness of the newly presented methods are confirmed in comparison with similar methods, analyzing numerical results concerning the CPU time, a number of function evaluations, and the number of iterative steps. The proposed method is successfully applied to deal with an optimization problem arising in 2D robotic motion control.

Год издания: 2023

Авторы: Ivanov Branislav , Milovanović Gradimir V. , Stanimirović Predrag S. , Awwal Aliyu Muhammed , Kazakovtsev Lev A. , Krutikov Vladimir N.

Источник: Journal of Mathematics

Выпуск: Т. 2023

Номера страниц: 9945581

Держатель оригинала документа: Gombe State University, Kemerovo State University, King Mongkut's University of Technology Tonburi (KMUTT), Serbian Academy of Sciences and Arts, Siberian Federal University, University of Belgrade, University of Niˇs

Количество экземпляров:

Твёрдая копия издания отсутствует в фонде библиотеки

Показать дополнительные сведения

FIXED-BUDGET APPROXIMATION OF THE INVERSE KERNEL MATRIX FOR IDENTIFICATION OF NONLINEAR DYNAMIC… : статья из журнала

Antropov N. и др.
2022 год

Semi-Lagrangian Approximation of Conservation Laws in the Flow around a Wedge : научное издание

Shaydurov V.V. и др.
2018 год

Investigation of the Orientational Thermoelasticity Effect Using a Simplified Model of Nematic… : статья из журнала

Smolekho Irina
2025 год

Solving Matrix Approximation Problems Using Generalized Inverses : monograph

Stanimirovic Predrad и др.
2023 год

Semi-lagrangian approximation of conservation laws of gas flow in a channel with backward step : научное издание

Shaydurov V.V. и др.
2019 год

On the Approximation of a Parabolic Inverse Problem by Pseudoparabolic One : статья из журнала

Lyubanova Anna
2012 год

On the Convergence Rate of Quasi-Newton Methods onStrongly Convex Functions with Lipschitz Gradient : научное издание

Krutikov Vladimir и др.
2023 год

Approximation of the Jacobian matrix in (m, 2)-methods for solving stiff problems : научное издание

Novikov E.A.
2011 год

A semi-Lagrangian approximation in the Navier-Stokes equations for the gas flow around a wedge : доклад, тезисы доклада

Shaydurov V. и др.
2015 год

A Family of Multi-Step Subgradient Minimization Methods : научное издание

Tovbis Elena и др.
2023 год

Hermitian Finite Elements for the Approximation Near a Curvilinear Boundary and in Three… : доклад, тезисы доклада

GILEVA L. и др.
2017 год

The semi-Lagrangian approximation in the finite element method for Navier-Stokes equations… : доклад, тезисы доклада

Andreeva E. и др.
2014 год

On the Approximation of a Parabolic Inverse Problem by Pseudoparabolic One : научное издание

Lyubanova Anna Sh.
2012 год

Approximation of a supports stiffness influence on support coefficient values for a spring-hinged beam by quadratic…

Mityaev A.E. и др.
2021 год

Raman scattering at resonant or near-resonant conditions: A generalized short-time approximation : научное издание

Mohammed A. и др.
2012 год

Properties of the Quadratic Transformation of Dual Variables : научное издание

Krutikov Vladimir и др.
2023 год

Библиотечно-издательский комплекс СФУ

A Modified Dai-Liao Conjugate Gradient Method Based on a Scalar Matrix Approximation of Hessian and Its Application : научное издание
статья из журнала

Похожие публикации