Relaxed forms of BBK algorithm and FBP algorithm for symmetric indefinite linear systems

  • Authors:
  • Ting-Zhu Huang;Liang Li

  • Affiliations:
  • School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, PR China;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, PR China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2008

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Abstract

In this paper, we study the direct solvers for the linear system Ax=b, where A is symmetric and indefinite. We discuss the so-called BBK algorithm and FBP algorithm and propose relaxed forms of them which provide options for fast pivot selection. We also present some numerical tests to show the efficiency of our algorithms.