MATRIX SCALING WITH RESPECT TO THE MAXIMUM-NORM, THE SUM-NORM, AND THE EUCLIDEAN NORM,
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).
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1967
- Accession Number
- AD0658675
Entities
People
- Peter Arthur Businger
Organizations
- University of Texas at Austin