An Optimum Iterative Method for Solving Any Linear System with a Square Matrix

@inproceedings{SmolarskiAnOI,
  title={An Optimum Iterative Method for Solving Any Linear System with a Square Matrix},
  author={Dennis C. Smolarski}
}
A method is presented to solve Ax = b by computing optimum iteration parameters for Richardson's method. It requires some information on the location of the eigenvalues of A. The algorithm yields parameters well-suited for matrices for which Chebyshev parameters are not appropriate. It therefore supplements the Manteuffel algorithm, developed for the Chebyshev case. Numerical examples are described. A MS(MOS) Subject Classifications: 65F 10, 15A06, 65N20, 33A65. Kevwords: Richardson's method… CONTINUE READING
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