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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.24 No.4
- 발행연도
- 2020.12
- 수록면
- 375 - 385 (11page)
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초록· 키워드
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In this paper, a special indefinite inner product, named hyperbolic scalar product, is used and all acquired results have been raised and proved with the proviso that the space is equipped with this indefinite scalar product. The main objective is to be introduced and applied an indefinite oblique projection method, called Indefinite Lanczos J-biorthogonalizatiom process, which in addition to building a pair of J-biorthogonal bases for two used Krylov subspaces, leads to the introduction of a process for solving large non-J-symmetric linear systems, i.e., Indefinite two-sided Lanczos Algorithm for Linear systems.
목차
ABSTRACT
1. INTRODUCTION
2. TWO-SIDED LANCZOS ALGORITHM
3. INDEFINITE TWO-SIDED LANCZOS ALGORITHM
4. NUMERICAL EXAMPLES
5. CONCLUSION
REFERENCES
참고문헌 (11)
참고문헌 신청
Y. SAAD / 2003 / Industrial and Applied Mathematics / University City Science Center Philadelphia
Y. SAAD / 2011 / Numerical methods for large eigenvalueproblems
N.J. HIGHAM / 2003 / J-orthogonal matrices: properties and generations / SIAM, Rev. 45(3):504~519
A. KIHCMAN / 2008 / The representation and approximation for the weighted Minkowski inverse in Minkowski space / Math. Comput. Modelling 47(3-4):363~371
B.C. LEVY / 1998 / A note on the hyperbolic singular value decomposition / Linear Algebra Appl 277(1-3):135~142
Y. SAAD / 2011 / Numerical methods for large eigenvalueproblems
N.J. HIGHAM / 2003 / J-orthogonal matrices: properties and generations / SIAM, Rev. 45(3):504~519
A. KIHCMAN / 2008 / The representation and approximation for the weighted Minkowski inverse in Minkowski space / Math. Comput. Modelling 47(3-4):363~371
B.C. LEVY / 1998 / A note on the hyperbolic singular value decomposition / Linear Algebra Appl 277(1-3):135~142
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