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Improved GradientDescent Iterationsfor Solving Systemsof NonlinearEquations : научноеиздание Stanimirović Predrag S.Shaini Bilall I.Sabi’u Jamilu2023 год

Improved Gradient Descent Iterations for Solving Systems of Nonlinear Equations : научное издание
статья из журнала

Дополнительные ссылки: eLibrary
База данных: Каталог библиотеки СФУ
Библиографическое описание: Improved Gradient Descent Iterations for Solving Systems of Nonlinear Equations : научное издание / Predrag S. Stanimirović [et al.]. - Текст : непосредственный // Algorithms. - 2023. - Т.16, №2. - P. 64. - ISSN 1999-4893, DOI 10.3390/a16020064.
Аннотация: <jats:p>This research proposes and investigates some improvements in gradient descent iterations that can be applied for solving system of nonlinear equations (SNE). In the available literature, such methods are termed improved gradient descent methods. We use verified advantages of various accelerated double direction and double step size gradient methods in solving single scalar equations. Our strategy is to control the speed of the convergence of gradient methods through the step size value defined using more parameters. As a result, efficient minimization schemes for solving SNE are introduced. Linear global convergence of the proposed iterative method is confirmed by theoretical analysis under standard assumptions. Numerical experiments confirm the significant computational efficiency of proposed methods compared to traditional gradient descent methods for solving SNE.</jats:p>
Год издания: 2023
Авторы: Stanimirović Predrag S., Shaini Bilall I., Sabi’u Jamilu, Shah Abdullah, Petrović Milena J., Ivanov Branislav, Cao Xinwei, Stupina Alena, Li Shuai
Источник: Algorithms
Выпуск: Т.16, №2
Номера страниц: 64
Количество экземпляров:
Твёрдая копия издания отсутствует в фонде библиотеки

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