MULTI SPLITTING PRECONDITIONERS FOR A SYMMETRIC POSITIVE DEFINITE MATRIX

  • Yun Jae-Heon (Department of Mathematics, Institute for Basic Sciences & College of Natural Sciences, ChungBuk National University) ;
  • Kim Eun-Heui (Department of Mathematics, College of Natural Sciences, ChungBuk National University) ;
  • Oh Se-Young (Department of Mathematics, Chungnam National University)
  • 발행 : 2006.09.01

초록

We study convergence of multisplitting method associated with a block diagonal conformable multisplitting for solving a linear system whose coefficient matrix is a symmetric positive definite matrix which is not an H-matrix. Next, we study the validity of m-step multisplitting polynomial preconditioners which will be used in the preconditioned conjugate gradient method.

키워드