Accession Number:

ADA090053

Title:

Numerical Linear Algebra.

Descriptive Note:

Interim rept. 1 Feb 79-31 Mar 80,

Corporate Author:

STANFORD UNIV CA DEPT OF COMPUTER SCIENCE

Personal Author(s):

• Boley,Daniel L.
• Golub,Gene H.
• Van Dooren,Paul
• Wilkinson,James H.

Report Date:

1980-09-08

Pagination or Media Count:

9.0

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

Descriptors:

• *EIGENVECTORS
• *EIGENVALUES
• ALGORITHMS
• ERROR ANALYSIS
• CONTROL THEORY
• DECOMPOSITION
• RICCATI EQUATION
• TRIANGLES

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE