Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 763-785 |
| Number of pages | 23 |
| Journal | Numerical Algorithms |
| Volume | 85 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Nov 2020 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2020, Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
- Eigenvalue analysis
- Global convergence
- Hyperplane projection
- Monotonicity property
- Nonlinear equations
ASJC Scopus subject areas
- Applied Mathematics
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