Some three-term conjugate gradient methods with the inexact line search condition
Sign Up to like & getrecommendations! Published in 2018 at "Calcolo"
DOI: 10.1007/s10092-018-0258-3
Abstract: The three-term conjugate gradient methods solving large-scale optimization problems are favored by many researchers because of their nice descent and convergent properties. In this paper, we extend some new conjugate gradient methods, and construct some… read more here.
Keywords: three term; gradient methods; term conjugate; conjugate gradient ... See more keywords
An Accelerated Three-Term Conjugate Gradient Method with Sufficient Descent Condition and Conjugacy Condition
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1377-3
Abstract: An accelerated three-term conjugate gradient method is proposed, in which the search direction can satisfy the sufficient descent condition as well as extended Dai–Liao conjugacy condition. Different from the existent methods, a dynamical compensation strategy… read more here.
Keywords: accelerated three; condition; method; term conjugate ... See more keywords
Some convergently three-term trust region conjugate gradient algorithms under gradient function non-Lipschitz continuity
Sign Up to like & getrecommendations! Published in 2024 at "Scientific Reports"
DOI: 10.1038/s41598-024-60969-9
Abstract: This paper introduces two three-term trust region conjugate gradient algorithms, TT-TR-WP and TT-TR-CG, which are capable of converging under non-Lipschitz continuous gradient functions without any additional conditions. These algorithms possess sufficient descent and trust region… read more here.
Keywords: term trust; gradient; trust region; three term ... See more keywords
An efficient three-term conjugate gradient algorithm with restart strategy and image restoration
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DOI: 10.1038/s41598-025-19329-4
Abstract: In this paper, a new effective hybrid three-term conjugate gradient method with restart procedure is proposed to solve unconstrained optimizations. We propose a novel search direction that approximates the memoryless BFGS quasi-Newton direction, forming a… read more here.
Keywords: conjugate gradient; image restoration; term conjugate; conjugate ... See more keywords
An ubiquitous three-term recurrence relation
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0018221
Abstract: We solve an eigenvalue equation that appears in several papers about a wide range of physical problems. The Frobenius method leads to a three-term recurrence relation for the coefficients of the power series that, under… read more here.
Keywords: recurrence relation; three term; term recurrence;
A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2021.1946043
Abstract: In this paper, a derivative-free Hestenes-Stielfel type method is proposed to solve large-scale nonlinear equations with convex constraints. The proposed method adopts the line search proposed by O... read more here.
Keywords: type method; derivative free; method; nonlinear equations ... See more keywords
Evaluation of Legendre polynomials by a three-term recurrence in floating-point arithmetic
Sign Up to like & getrecommendations! Published in 2018 at "IMA Journal of Numerical Analysis"
DOI: 10.1093/imanum/dry079
Abstract: We prove new error estimates for a three-term recurrence that is used to compute Legendre polynomials. To this end we derive a bilinear representation of the cross-product of Legendre functions and demonstrate estimates of the… read more here.
Keywords: three term; legendre polynomials; recurrence; term recurrence ... See more keywords
Modified Three-Term Liu–Storey Conjugate Gradient Method for Solving Unconstrained Optimization Problems and Image Restoration Problems
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/7859286
Abstract: A new three-term conjugate gradient method is proposed in this article. The new method was able to solve unconstrained optimization problems, image restoration problems, and compressed sensing problems. The method is the convex combination of… read more here.
Keywords: gradient method; unconstrained optimization; method; three term ... See more keywords
A modified three-term PRP conjugate gradient algorithm for optimization models
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1373-4
Abstract: The nonlinear conjugate gradient (CG) algorithm is a very effective method for optimization, especially for large-scale problems, because of its low memory requirement and simplicity. Zhang et al. (IMA J. Numer. Anal. 26:629-649, 2006) firstly… read more here.
Keywords: algorithm; search; three term; optimization ... See more keywords
p-Numerical Semigroups of Triples from the Three-Term Recurrence Relations
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DOI: 10.3390/axioms13090608
Abstract: Many people, including Horadam, have studied the numbers Wn, satisfying the recurrence relation Wn=uWn−1+vWn−2 (n≥2) with W0=0 and W1=1. In this paper, we study the p-numerical semigroups of the triple (Wi,Wi+2,Wi+k) for integers i,k(≥3). For… read more here.
Keywords: term recurrence; triples three; semigroups triples; numerical semigroups ... See more keywords