Accession Number : AD0698040

Title :   NORMS OF THE SUCCESSIVE OVERRELAXATION METHOD AND RELATED METHODS.

Descriptive Note : Interim technical rept. no. 23,

Corporate Author : TEXAS UNIV AUSTIN COMPUTATION CENTER

Personal Author(s) : Young,David M. ; Kincaid,David R.

Report Date : SEP 1969

Pagination or Media Count : 103

Abstract : Norms of several iterative methods for solving the linear system Au = b are developed. These methods include the successive overrelaxation method, the cyclic Chebyshev semi-iterative method, and other related methods. Theoretical and numerical comparisons are given for the iterative methods and norms considered. The results indicate that by using a different norm than was previously considered, the successive overrelaxation method compares more favorably with the cyclic Chebyshev semi-iterative and with the other iterative methods considered. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), COMPUTER PROGRAMMING), (*ITERATIONS, CONVERGENCE), BOUNDARY VALUE PROBLEMS, DIFFERENCE EQUATIONS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE