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

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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 condA lubAlubA 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 condA.

Author(s):
Businger, Peter Arthur
Author Organization(s):
TEXAS UNIV AUSTIN COMPUTATION CENTER
Descriptive Note:
Interim technical rept.,
Pagination:
0123

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TR-15, AROD-3772:33-M
Contract/Grant Number(s):
DA-ARO(D)-31-124-G721, NSF-GP-5253
Project Number(s):
DA-3772-M
Monitor Series:
3772:33-M
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*MATRICES(MATHEMATICS), NUMERICAL ANALYSIS), (*EQUATIONS, NUMERICAL ANALYSIS), THESES, NUMBERS, VECTOR SPACES, INEQUALITIES, THEOREMS, OPTIMIZATION
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
EIGENVECTORS
Report Date:
1967 Aug 01