Refined and refined harmonic Jacobi--Davidson methods for computing several GSVD components of a large regular matrix pair Article Swipe
Jinzhi Huang
,
Zhongxiao Jia
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2309.17266
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2309.17266
Three refined and refined harmonic extraction-based Jacobi--Davidson (JD) type methods are proposed, and their thick-restart algorithms with deflation and purgation are developed to compute several generalized singular value decomposition (GSVD) components of a large regular matrix pair. The new methods are called refined cross product-free (RCPF), refined cross product-free harmonic (RCPF-harmonic) and refined inverse-free harmonic (RIF-harmonic) JDGSVD algorithms, abbreviated as RCPF-JDGSVD, RCPF-HJDGSVD and RIF-HJDGSVD, respectively. The new JDGSVD methods are more efficient than the corresponding standard and harmonic extraction-based JDSVD methods proposed previously by the authors, and can overcome the erratic behavior and intrinsic possible non-convergence of the latter ones. Numerical experiments illustrate that RCPF-JDGSVD performs better for the computation of extreme GSVD components while RCPF-HJDGSVD and RIF-HJDGSVD suit better for that of interior GSVD components.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2309.17266
- https://arxiv.org/pdf/2309.17266
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4387294315
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- OpenAlex ID
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https://openalex.org/W4387294315Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2309.17266Digital Object Identifier
- Title
-
Refined and refined harmonic Jacobi--Davidson methods for computing several GSVD components of a large regular matrix pairWork title
- Type
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preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-09-29Full publication date if available
- Authors
-
Jinzhi Huang, Zhongxiao JiaList of authors in order
- Landing page
-
https://arxiv.org/abs/2309.17266Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2309.17266Direct 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/2309.17266Direct OA link when available
- Concepts
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Computation, Harmonic, Computer science, Convergence (economics), Singular value decomposition, Matrix (chemical analysis), Applied mathematics, Algorithm, Mathematics, Physics, Economic growth, Composite material, Economics, Materials science, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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