Descent Perry conjugate gradient methods for systems of monotone nonlinear equations

In this paper, we present a family of Perry conjugate gradient methods for solving large-scale systems of monotone nonlinear equations. The methods are developed by combining modified versions of Perry (Oper. Res. Tech. Notes 26 (6), 1073–1078, 1978 ) conjugate gradient method with the hyperplane pr...

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Bibliographic Details
Published in:Numerical algorithms 2020-11, Vol.85 (3), p.763-785
Main Authors: Waziri, Mohammed Yusuf, Hungu, Kabiru Ahmed, Sabi’u, Jamilu
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Computer Science
Conjugate gradient method
Eigenvalues
Hyperplanes
Mathematical analysis
Methods
Nonlinear equations
Numeric Computing
Numerical Analysis
Optimization
Original Paper
Theory of Computation
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Summary:In this paper, we present a family of Perry conjugate gradient methods for solving large-scale systems of monotone nonlinear equations. The methods are developed by combining modified versions of Perry (Oper. Res. Tech. Notes 26 (6), 1073–1078, 1978 ) conjugate gradient method with the hyperplane projection technique of Solodov and Svaiter ( 1998 ). Global convergence and numerical results of the methods are established and preliminary numerical results shows that the proposed methods are promising and more effective compared to some existing methods in the literature.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-019-00836-1