A Modified Conjugate Gradient Method for Solving Large-Scale Nonlinear Equations | Zendy

Hong-Bo Guan | Zendy; Sheng Wang | Zendy

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A Modified Conjugate Gradient Method for Solving Large-Scale Nonlinear Equations

Author(s) -

Hong-Bo Guan,

Sheng Wang

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/9919595

Subject(s) - conjugate gradient method , nonlinear conjugate gradient method , nonlinear system , scale (ratio) , conjugate , derivation of the conjugate gradient method , mathematics , conjugate residual method , gradient method , mathematical optimization , computer science , mathematical analysis , gradient descent , artificial intelligence , physics , artificial neural network , quantum mechanics

In this paper, we propose a modified Polak–Ribière–Polyak (PRP) conjugate gradient method for solving large-scale nonlinear equations. Under weaker conditions, we show that the proposed method is globally convergent. We also carry out some numerical experiments to test the proposed method. The results show that the proposed method is efficient and stable.

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