A generalization of the Newton-based matrix splitting iteration method for generalized absolute value equations Article Swipe
Xuehua Li
,
Cairong Chen
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2309.09520
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2309.09520
A generalization of the Newton-based matrix splitting iteration method (GNMS) for solving the generalized absolute value equations (GAVEs) is proposed. Under mild conditions, the GNMS method converges to the unique solution of the GAVEs. Moreover, we can obtain a few weaker convergence conditions for some existing methods. Numerical results verify the effectiveness of the proposed method.
Related Topics To Compare & Contrast
Concepts
Generalization
Convergence (economics)
Mathematics
Newton's method
Matrix (chemical analysis)
Applied mathematics
Value (mathematics)
Iterative method
Mathematical analysis
Mathematical optimization
Nonlinear system
Physics
Economic growth
Statistics
Economics
Materials science
Quantum mechanics
Composite material
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2309.09520
- https://arxiv.org/pdf/2309.09520
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4386875748
All OpenAlex metadata
Raw OpenAlex JSON
No additional metadata available.