An efficient method for computing eigenvalues of a real normal matrix

Date

2003

Authors

Zhou, B. B.
Brent, Richard

Journal Title

Journal ISSN

Volume Title

Publisher

Academic Press

Abstract

Jacobi-based algorithms have attracted attention as they have a high degree of potential parallelism and may be more accurate than QR-based algorithms. In this paper we discuss how to design efficient Jacobi-like algorithms for eigenvalue decomposition of a real normal matrix. We introduce a block Jacobi-like method. This method uses only real arithmetic and orthogonal similarity transformations and achieves ultimate quadratic convergence. A theoretical analysis is conducted and some experimental results are presented. Crown

Description

Keywords

Keywords: Eigenvalue decomposition; Jacobi algorithm and QR algorithm; Normal matrix; Parallel computing

Citation

Source

Journal of Parallel and Distributed Computing

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

Restricted until

2037-12-31