Journal of applied mathematics & informatics

  • 제5권2호
  • /
  • Pages.383-392
  • /
  • 1998
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

GENERALIZED STATIONARY ITERATIVE METHOD FOR SOLVING LINEAR SYSTEMS

  • Yun, Jae-Heon (Department of Mathematics Chungbuk National University) ;
  • Kim, Sang-Wook (Department of Mathematics Chungbuk National University)
  • 발행 : 1998.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

This paper proposes Generalized Stationary Iterative called GSI method. It is shown that the existing stationary iterative methods are special cases of GSI method. Convergence properties of this method are provided and their numerical experiments for linear systems with symmetric positive definite matrix are also provided.

키워드

참고문헌

  1. Iterative solution methods O.Axelsson
  2. Templates for the solution of linear systems: Builiding blocks for iterative methods R.Barrett(et al.)
  3. phD thesis, University of Toronto Gauss-Seidel methods of solving large systems of linear equations W.Kahan
  4. Society for Industrial and Applied Mathematics Iterative methods for linear and nonlinear equations C.T.Kelley
  5. Iterative solution of nonlinear equations in several variables J.M.Ortega;W.C.Rheinboldt
  6. Matrix iterative analysis R.S.Varge
  7. Iterative solution of large linear systems D.Young