A numerical algorithm for computing the restricted singular value decomposition of matrix triplets (Q1189620)
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: A numerical algorithm for computing the restricted singular value decomposition of matrix triplets |
scientific article; zbMATH DE number 57560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A numerical algorithm for computing the restricted singular value decomposition of matrix triplets |
scientific article; zbMATH DE number 57560 |
Statements
A numerical algorithm for computing the restricted singular value decomposition of matrix triplets (English)
0 references
27 September 1992
0 references
For a triplet of matrices \(A\), \(B\), \(C\) arising for example in linear control systems \(x=Ax+Bu\), \(y=Cx\) an algorithm is given to compute the restricted singular value decomposition of the triplet. The method is based on a reduction step to get a regular triplet that can be treated by the Kogbetliantz algorithm followed by some rank computations. Numerical examples are given.
0 references
rank detection
0 references
triplet of matrices
0 references
linear control systems
0 references
singular value decomposition
0 references
Kogbetliantz algorithm
0 references
Numerical examples
0 references
