Some three-term conjugate gradient methods with the inexact line search condition
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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
An ubiquitous three-term recurrence relation
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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
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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
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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
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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