본문 바로가기
KERD
논문KCI 등재

An iterative method for symmetric indefinite linear systems

이수철|Homer F. Walker
대한수학회 (The Korean Mathematical Society)|2004.04|대한수학회논문집 (Communications of the KMS)|제19권 제2호|pp. 375-388

0

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

For solving symmetric systems of linear equations, it is shownthat a new Krylov subspace method can be obtained. The newapproach is one of the projection methods, and we call it theprojection method for convenience in this paper. The projectionmethod maintains the residual vector like simpler GMRES, symmetricQMR, SYMMLQ, and MINRES. By studying the quasi-minimal residualmethod, we show that an extended projection method and the scaledsymmetric QMR method are equivalent.

참고문헌 (6)

  1. "QMR: a quasi-minimal residual method for non-Hermitian linearsystems", 60, pp.315~339 (1991)
  2. "A new Krylov subspace method for symmetric indefinite linearsystems" (1994)
  3. "A quasi-minimal residual squared algorithm for non-Hermitianlinear systems Research Institute for AdvancedComputer Science", pp.91~26 (1991)
  4. "Solution of sparse indefinite systems of linear equations", 12, pp.617~ (1975)
  5. "A generalized minimal residual algorithm for solvingnonsymmetric linear systems", pp.856~ (1986)
  6. "A simpler GMRES", 1, pp.571~ (1994)

관련 논문AI추천

Modified incomplete Cholesky factorization preconditioners for a symmetric positive definite matrix윤재헌, 한유두대한수학회 · 대한수학회보2002 · 제39권 제3호Acceleration of one-parameter relaxation methods for singular saddle point problemsJae Heon Yun대한수학회 · 대한수학회지2016 · 제53권 제3호SINGLE STEP REAL-VALUED ITERATIVE METHOD FOR LINEAR SYSTEM OF EQUATIONS WITH COMPLEX SYMMETRIC MATRICESBeiBei Li, JingJing Cui, XiaoFeng Xie, ZhengGe Huang대한수학회 · 대한수학회보2023 · 제60권 제5호SEMI-CONVERGENCE OF THE PARAMETERIZED INEXACT UZAWA METHOD FOR SINGULAR SADDLE POINT PROBLEMS윤재헌대한수학회 · 대한수학회보2015 · 제52권 제5호Parallel performance of multisplitting methods with preweighting윤재헌, 한유두대한수학회 · 대한수학회지2012 · 제49권 제4호COMPARISON RESULTS FOR THE PRECONDITIONED GAUSS-SEIDEL METHODS윤재헌대한수학회 · 대한수학회논문집2012 · 제27권 제1호

이 간행물의 다른 논문 (16건)

On the structure of orthomodular lattices satisfying loop lemmaEunsoon Park, Mi Mi Kimpp. 197-204Infinitely many primes of the form $An+1$ Another Elementary ProofJisang Yoopp. 205-210Prime ideals of subrings of matrix ringsJang-Ho Chun, June-Won Parkpp. 211-217Closure operators on BL-algebrasYong Chan Kim, Jung Mi Kopp. 219-232Regularity of the generalized centroid of semi-prime gamma ringsMehmet Ali Ozturk, Young Bae Junpp. 233-242
원문 보기