The undirected graph and estimates of matrix singular values (Q1124802)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The undirected graph and estimates of matrix singular values |
scientific article; zbMATH DE number 1371039
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The undirected graph and estimates of matrix singular values |
scientific article; zbMATH DE number 1371039 |
Statements
The undirected graph and estimates of matrix singular values (English)
0 references
28 November 1999
0 references
New theorems for estimating the singular values of a matrix are established using the associated undirected graph. The location of singular values of a matrix \(A\) is described in terms of its deleted absolute row sums and column sums. The formulation has an appearance analogous to Brauer's and Brualdi' s theorems for eigenvalues. Examples show that in many cases more precise estimates can be obtained than those in the related literature.
0 references
singular values
0 references
undirected graph
0 references
absolute row sums
0 references
column sums
0 references
estimates
0 references
