Accession Number : AD0658675

Title :   MATRIX SCALING WITH RESPECT TO THE MAXIMUM-NORM, THE SUM-NORM, AND THE EUCLIDEAN NORM,

Descriptive Note : Interim technical rept.,

Corporate Author : TEXAS UNIV AUSTIN COMPUTATION CENTER

Personal Author(s) : Businger,Peter Arthur

Report Date : AUG 1967

Pagination or Media Count : 123

Abstract : The condition number of a nonsingular matrix A with respect to the inversion problem and with respect to a vector norm is defined by cond(A) = lub(A)lub(A superscript-1), where lub(.) denotes the matrix bound subordinate to the norm. The spectral condition number can be regarded as a 'measure by which A fails to be a scalar multiple of a unitary matrix.' Other such measures are considered and related to cond(A).

Descriptors :   (*MATRICES(MATHEMATICS), NUMERICAL ANALYSIS), (*EQUATIONS, NUMERICAL ANALYSIS), THESES, NUMBERS, VECTOR SPACES, INEQUALITIES, THEOREMS, OPTIMIZATION

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE