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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.3
- 발행연도
- 2020.9
- 수록면
- 305 - 320 (16page)
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초록· 키워드
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This study aims to generalize MINRES-N2 method [1]. It means that we tend to obtain an algorithm to transfer each normal matrix - that its eigenvalues belong to an algebraic curve of low degree k- to its condensed form through using a unitary similarity transformation. Then, we aim to obtain a method to solve a system of linear equations that its coefficient matrix is equal to such a matrix by utilizing it. Finally this method is compared to the well-known GMRES method through using numerical examples. The results obtained through examples show that the given method is more efficient than GMRES.
목차
ABSTRACT
1. INTRODUCTION
2. METHOD MINRES-NK FOR NORMAL MATRICES
3. NUMERICAL RESULTS
4. CONCLUSION
REFERENCES
참고문헌 (8)
참고문헌 신청
L. Elsner / 1997 / On a condensed form for normal matrices under finite sequences of elementary unitary similarities / Linear Algebra Appl. 254:79~98
M. Dana / 2004 / On low rank perturbations of the Hermitian and unitary matrices / Zh. Vychisl. Mat. Mat. Fiz. 44(8):1331~1345
M. Ghasemi Kamalvand / 2009 / A Method of Congruent Type for Linear Systems with Conjugate-Normal Coefficient Matrices / Computational Mathematics and Mathematical Physics 49(2):203~216
M. Ghasemi Kamalvand / 2009 / Low-Rank Perturbations of Symmetric Matrices and Their Condensed Forms under Unitary Congruences / Computational Mathematics and Mathematical Physics 49(4):573~578
M. Ghasemi Kamalvand / 2009 / Low-Rank Perturbations of Normal and Conjugate-Normal Matrices and Their Condensed Forms under Unitary Similarities and Congruences / Moscow University Computational Mathematics and Cybernetics 33(3):109~116
M. Dana / 2004 / On low rank perturbations of the Hermitian and unitary matrices / Zh. Vychisl. Mat. Mat. Fiz. 44(8):1331~1345
M. Ghasemi Kamalvand / 2009 / A Method of Congruent Type for Linear Systems with Conjugate-Normal Coefficient Matrices / Computational Mathematics and Mathematical Physics 49(2):203~216
M. Ghasemi Kamalvand / 2009 / Low-Rank Perturbations of Symmetric Matrices and Their Condensed Forms under Unitary Congruences / Computational Mathematics and Mathematical Physics 49(4):573~578
M. Ghasemi Kamalvand / 2009 / Low-Rank Perturbations of Normal and Conjugate-Normal Matrices and Their Condensed Forms under Unitary Similarities and Congruences / Moscow University Computational Mathematics and Cybernetics 33(3):109~116
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