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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제36권 제5호
- 발행연도
- 2018.1
- 수록면
- 459 - 474 (16page)
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Cao et al. in (Numer. Linear. Algebra Appl. 18 (2011) 875-895) proposed a splitting method for saddle point problems which unconditionally converges to the solution of the system. It was shown that a Krylov subspace method like GMRES in conjunction with the induced preconditioner is very effective for the saddle point problems. In this paper we first modify the iterative method, discuss its convergence properties and apply the induced preconditioner to the problem. Numerical experiments of the corresponding preconditioner are compared to the primitive one to show the superiority of our method.
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참고문헌 (25)
참고문헌 신청
Z. Z. Bai / 2009 / Optimal parameters in the HSS-like methods for saddle-point problems / Numer. Linear Algebra Appl 16:447~479
Z. Z. Bai / 2007 / Accelerated Hermitian and skew-Hermitian splitting methods for saddle-point problems / IMA J. Numer. Anal 27:1~23
Z. Z. Bai / 2008 / On parameterized inexact Uzawa methods for generalized saddle point problems / Linear Algebra Appl 428:2900~2932
Z. Z. Bai / 2003 / Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems / SIAM J. Matrix Anal. Appl 24:603~626
Z. Z. Bai / 2006 / A shift-splitting preconditioner for non-Hermitian positive definite matrics / J. Comput. Math 24:539~552
Z. Z. Bai / 2007 / Accelerated Hermitian and skew-Hermitian splitting methods for saddle-point problems / IMA J. Numer. Anal 27:1~23
Z. Z. Bai / 2008 / On parameterized inexact Uzawa methods for generalized saddle point problems / Linear Algebra Appl 428:2900~2932
Z. Z. Bai / 2003 / Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems / SIAM J. Matrix Anal. Appl 24:603~626
Z. Z. Bai / 2006 / A shift-splitting preconditioner for non-Hermitian positive definite matrics / J. Comput. Math 24:539~552
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