ISSN:
1572-9125
Keywords:
65F10
;
15A06
;
65N20
;
33A65
;
Richardson's method
;
iterative solution
;
Chebyshev method
;
Manteuffel algorithm
;
optimum parameters
;
least squares
;
nonsymmetric matrices
;
nonhermitian matrices
;
orthogonal polynomials
;
eigenvalues
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A method is presented to solveAx=b by computing optimum iteration parameters for Richardson's method. It requires some information on the location of the eigenvalues ofA. 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01934703
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