BEST POSSIBLE RATIOS OF CERTAIN MATRIX NORMS
Abstract
A matrix is defined as a square matrix of order n with complex elements. A vector is a column vector with n complex components. A matrix norm is a real-valued function v defined on the space of matrices and satisfying certain relations for arbitrary matrices A and B and arbitrary complex scalars c. A vector norm is a real-valued function defined on the space of vectors and satisfying relations analogous to those for a matrix norm. For an arbitrary matrix A and two arbitrary matrix norms u, v, consideration is given to V(A) when the value of U(A) is known. Conclusions are then applied to a number of familiar matrix norms. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1961
- Accession Number
- AD0265348
Entities
People
- Betty Jane Stone
Organizations
- Stanford University