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
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
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https://openalex.org/W4386875748Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2309.09520Digital Object Identifier
- Title
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A generalization of the Newton-based matrix splitting iteration method for generalized absolute value equationsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
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2023-09-18Full publication date if available
- Authors
-
Xuehua Li, Cairong ChenList of authors in order
- Landing page
-
https://arxiv.org/abs/2309.09520Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2309.09520Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2309.09520Direct OA link when available
- Concepts
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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 materialTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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