An Iterative Method Using Piecewise Valued Basic Vectors for Solving Linear Systems with Symmetric Coefficient Matrix

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Other Title
  • 区分的に値を持つ基底ベクトルを用いた対称行列用連立一次方程式の反復解法

Abstract

This paper presents an iterative method using piecewise valued basic vectors for solving linear systems with a symmetric coefficient matrix. The solution of linear systems is easily obtained by the proposed iterative method which repeats the following four operation. 1) Make the some independent systems in which total number of freedoms is reduced by Galerkin's method using the piecewise valued basic vectors. 2) Compute the approximate solution of these systems by other iterative method. 3) Obtain the best approximate solution of original linear systems by linking each approximate solution. 4) Update the proposed basic vectors by using the best approximation. Validity and efficiency of the proposed iterative method are studied and shown in several numerical examples.

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Details 詳細情報について

  • CRID
    1390282680182921984
  • NII Article ID
    130004091579
  • DOI
    10.2208/journalam.7.247
  • ISSN
    1884832X
    13459139
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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