Contents V4, No.2, 2013

  • ON A PARALLEL COMPUTATION METHOD FOR SOLVING LINEAR ALGEBRAIC SYSTEM WITH ILL-CONDITIONED MATRIX
    M. OTELBAEV1 , D. ZHUSUPOVA1 , B. TULEUOV1 (pp. 115-124)
  • Abstract.

    A new method of finding approximate solutions of linear algebraic systems with illconditioned or singular matrices is presented. This method can effectively be used for arranging parallel computations for matrices of large size. Difference of the method suggested from the known is that existence of zero eigenvalues of the matrix of system doesn’t influence by no means efficiency of iterative process. Only small but nonzero singular values of the matrix are important.

    Keywords:

    ill conditioned matrices, eigenvalues, approximate solutions, parallel computation.

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