On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\) (Q1873709)
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 solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\) |
scientific article; zbMATH DE number 1917814
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\) |
scientific article; zbMATH DE number 1917814 |
Statements
On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\) (English)
0 references
27 May 2003
0 references
The authors study the solutions of the complex matrix equations \(X-AXB=C\) (for \(A=B^*\) this is the Stein equation) and \(X-A\bar{X}B=C\). They obtain an explicit solution of the former by the method of characteristic polynomials and of the latter by the method of real representations of a complex matrix.
0 references
matrix equation
0 references
Stein equation
0 references
method of characteristic polynomial
0 references
method of real representations of a complex matrix
0 references
explicit solution
0 references
0 references
