Numerical Methods for Simultaneous Diagonalization

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1993 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Matrix Analysis and Applications, volume 14, pages 927-949 (issn: 0895-4798, eissn: 1095-7162,

Copyright policy )

Authors: Angelika Bunse-Gerstner; Ralph Byers; Volker Mehrmann;

doi: 10.1137/0614062

Numerical Methods for Simultaneous Diagonalization

- Summary
- Subjects
- Metrics

Abstract

A Jacobi-type algorithm is introduced for the simultaneous diagonalization of commuting pairs of complex normal matrices. The algorithm is based on a sequence of similarity transformations by elementary complex rotations. Quadratic convergence and numerical stability are verified.

Keywords

Numerical computation of eigenvalues and eigenvectors of matrices, Other matrix algorithms, eigenvalues, commuting pairs of complex normal matrices, Quadratic convergence, similarity transformations, numerical stability, simultaneous diagonalization, Jacobi-type algorithm, elementary complex rotations

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	119
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 1%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 0.1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%