A new subspace minimization conjugate gradient method based on modified secant equation for unconstrained optimization

Xinliu Diao; Hongwei Liu; Zexian Liu

doi:10.1007/s40314-020-01301-9

A new subspace minimization conjugate gradient method based on modified secant equation for unconstrained optimization

Computational and Applied Mathematics ◽

10.1007/s40314-020-01301-9 ◽

2020 ◽

Vol 39 (4) ◽

Author(s):

Xinliu Diao ◽

Hongwei Liu ◽

Zexian Liu

Keyword(s):

Unconstrained Optimization ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Subspace Minimization ◽

Secant Equation ◽

Modified Secant Equation

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A new subspace minimization conjugate gradient method based on tensor model for unconstrained optimization

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1542136 ◽

2018 ◽

Vol 96 (10) ◽

pp. 1924-1942

Author(s):

Ting Wang ◽

Zexian Liu ◽

Hongwei Liu

Keyword(s):

Unconstrained Optimization ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Tensor Model ◽

Subspace Minimization

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A Dai–Liao conjugate gradient method via modified secant equation for system of nonlinear equations

Arabian Journal of Mathematics ◽

10.1007/s40065-019-0264-6 ◽

2019 ◽

Vol 9 (2) ◽

pp. 443-457 ◽

Cited By ~ 2

Author(s):

M. Y. Waziri ◽

K. Ahmed ◽

J. Sabi’u

Keyword(s):

Nonlinear Equations ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

System Of Nonlinear Equations ◽

Secant Equation ◽

Modified Secant Equation

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A Parameter Conjugate Gradient Method Based on Secant Equation for Unconstrained Optimization

Journal of Information and Computational Science ◽

10.12733/jics20107043 ◽

2015 ◽

Vol 12 (16) ◽

pp. 5865-5871 ◽

Cited By ~ 1

Author(s):

Wenyu Li

Keyword(s):

Unconstrained Optimization ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Secant Equation

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A new subspace minimization conjugate gradient method with nonmonotone line search for unconstrained optimization

Numerical Algorithms ◽

10.1007/s11075-017-0434-6 ◽

2017 ◽

Vol 79 (1) ◽

pp. 195-219 ◽

Cited By ~ 4

Author(s):

Ming Li ◽

Hongwei Liu ◽

Zexian Liu

Keyword(s):

Unconstrained Optimization ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Line Search ◽

Nonmonotone Line Search ◽

Subspace Minimization

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A subspace minimization conjugate gradient method based on conic model for unconstrained optimization

Computational and Applied Mathematics ◽

10.1007/s40314-019-0779-7 ◽

2019 ◽

Vol 38 (1) ◽

Cited By ~ 2

Author(s):

Yufei Li ◽

Zexian Liu ◽

Hongwei Liu

Keyword(s):

Unconstrained Optimization ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Conic Model ◽

Subspace Minimization

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A New Conjugate Gradient Method with Smoothing $$L_{1/2} $$ L 1 / 2 Regularization Based on a Modified Secant Equation for Training Neural Networks

Neural Processing Letters ◽

10.1007/s11063-017-9737-9 ◽

2017 ◽

Vol 48 (2) ◽

pp. 955-978 ◽

Cited By ~ 1

Author(s):

Wenyu Li ◽

Yan Liu ◽

Jie Yang ◽

Wei Wu

Keyword(s):

Neural Networks ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Secant Equation ◽

Modified Secant Equation

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A modified Dai–Liao conjugate gradient method for solving unconstrained optimization and image restoration problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01548-3 ◽

2021 ◽

Author(s):

Junyu Lu ◽

Gonglin Yuan ◽

Zhan Wang

Keyword(s):

Image Restoration ◽

Unconstrained Optimization ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method

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A new conjugate gradient method based on Quasi-Newton equation for unconstrained optimization

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.10.035 ◽

2019 ◽

Vol 350 ◽

pp. 372-379 ◽

Cited By ~ 9

Author(s):

Xiangli Li ◽

Juanjuan Shi ◽

Xiaoliang Dong ◽

Jianglan Yu

Keyword(s):

Unconstrained Optimization ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Newton Equation ◽

Quasi Newton

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A hybrid conjugate gradient method with descent property for unconstrained optimization

Applied Mathematical Modelling ◽

10.1016/j.apm.2014.08.008 ◽

2015 ◽

Vol 39 (3-4) ◽

pp. 1281-1290 ◽

Cited By ~ 15

Author(s):

Jinbao Jian ◽

Lin Han ◽

Xianzhen Jiang

Keyword(s):

Unconstrained Optimization ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Descent Property ◽

Hybrid Conjugate Gradient Method

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A spectral conjugate gradient method for solving large-scale unconstrained optimization

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.10.002 ◽

2019 ◽

Vol 77 (3) ◽

pp. 731-739 ◽

Cited By ~ 6

Author(s):

J.K. Liu ◽

Y.M. Feng ◽

L.M. Zou

Keyword(s):

Unconstrained Optimization ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Large Scale ◽

Spectral Conjugate Gradient ◽

Large Scale Unconstrained Optimization

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