A Note on Local Behavior of Multiple Eigenvalues

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1989 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Matrix Analysis and Applications, volume 10, pages 533-541 (issn: 0895-4798, eissn: 1095-7162,

Copyright policy )

Authors: Sun, Jiguang;

doi: 10.1137/0610038

A Note on Local Behavior of Multiple Eigenvalues

- Summary
- Subjects
- Metrics

Abstract

The author investigates the local behavior of multiple eigenvalues of a symmetric eigenproblem analytically dependent on several parameters. The directional derivatives of the eigenvalues are given which are useful for investigating structural vibration design and control system design.

Related Organizations

University of Maryland, College Park
United States

Keywords

Eigenvalues, singular values, and eigenvectors, symmetric eigenproblem, Matrices over function rings in one or more variables, directional derivatives, local behavior, multiple eigenvalues, structural vibration design, control system design

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).	15
	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.	Average
	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 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average