On two approaches to the common invariant subspace problem for a pair of matrices (Q1395303)
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: On two approaches to the common invariant subspace problem for a pair of matrices |
scientific article; zbMATH DE number 1940667
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two approaches to the common invariant subspace problem for a pair of matrices |
scientific article; zbMATH DE number 1940667 |
Statements
On two approaches to the common invariant subspace problem for a pair of matrices (English)
0 references
1 July 2003
0 references
This paper is devoted to a discussion on numerical experiments with the computer algebra system MAPLE that are designed to compare \textit{D. Shemesh}'s criterion [Linear Algebra Appl. 62, 11-18 (1984; Zbl 0556.15006)] as a method for solving the common eigenvector problem of two complex matrices with an approach based on the use of Gröbner bases. The latter approach was also applied to the common two-dimensional invariant subspace problem.
0 references
common invariant subspace
0 references
computer algebra system MAPLE
0 references
numerical experiment
0 references
Gröbner bases
0 references
eigenvector problem
0 references
0.93804747
0 references
0.93624663
0 references
0 references
0.9202914
0 references
0.9013154
0 references
0.8935754
0 references
0.8917274
0 references
0.8830857
0 references
