
Accession Number : AD0658675
Title : MATRIX SCALING WITH RESPECT TO THE MAXIMUMNORM, THE SUMNORM, 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 superscript1), 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