Solution of the Sylvester matrix equation AXB T + CXD T = E
Judith D. Gardiner, Alan J. Laub, James J. Amato, Cleve B. Moler
Source abstract
A software package has been developed to solve efficiently the Sylvester-type matrix equation AXB T + CXD T = E . A transformation method is used which employs the QZ algorithm to structure the equation in such a way that it can be solved columnwise by a back substitution technique. The algorithm is an extension of the Bartels-Stewart method and the Hessenberg-Schur method. The numerical performance of the algorithms and software is demonstrated by application to near-singular systems.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.