Numerical Linear Algebra.
Abstract
Research in this program has concentrated on the generalized eigenvalue problem and its natural extension to the computation of the associated canonical form. Furthermore, there has been an extensive effort to study the matrix equation arising in control engineering such as controllability observability decomposition and the solution of the Riccati equations. In particular, error bounds for the computed eigenvalues and eigenvectors of the generalized eigenvalue problem have been devised. In addition, a numerically stable algorithm has been developed for computing the orthonormal bases for deflating subspace of a regular pencil. A method has been developed to obtain any desired ordering of eigenvalues in the quasi-triangular forms. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 08, 1980
- Accession Number
- ADA090053
Entities
People
- Daniel L. Boley
- Gene H. Golub
- James H. Wilkinson
- Paul Van Dooren
Organizations
- Stanford University