On Bezoutians, Van der Monde matrices, and the Lienard-Chipart stability criterion

P. A. Fuhrmann; B. N. Datta

doi:10.1016/0024-3795(89)90367-4

On Bezoutians, Van der Monde matrices, and the Lienard-Chipart stability criterion

P. A. Fuhrmann, B. N. Datta

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We show how the Bezoutian can be reduced by congruence to diagonal form, with the congruence given by a Van der Monde matrix. This result is applied to obtain new proofs of some classical stability criteria and in particular of the Lienard-Chipart theorem.

Original language	English
Pages (from-to)	23-37
Number of pages	15
Journal	Linear Algebra and Its Applications
Volume	120
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(89)90367-4
State	Published - 1 Jan 1989

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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title = "On Bezoutians, Van der Monde matrices, and the Lienard-Chipart stability criterion",

abstract = "We show how the Bezoutian can be reduced by congruence to diagonal form, with the congruence given by a Van der Monde matrix. This result is applied to obtain new proofs of some classical stability criteria and in particular of the Lienard-Chipart theorem.",

author = "Fuhrmann, \{P. A.\} and Datta, \{B. N.\}",

year = "1989",

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T1 - On Bezoutians, Van der Monde matrices, and the Lienard-Chipart stability criterion

AU - Fuhrmann, P. A.

AU - Datta, B. N.

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Y1 - 1989/1/1

N2 - We show how the Bezoutian can be reduced by congruence to diagonal form, with the congruence given by a Van der Monde matrix. This result is applied to obtain new proofs of some classical stability criteria and in particular of the Lienard-Chipart theorem.

AB - We show how the Bezoutian can be reduced by congruence to diagonal form, with the congruence given by a Van der Monde matrix. This result is applied to obtain new proofs of some classical stability criteria and in particular of the Lienard-Chipart theorem.

UR - https://www.scopus.com/pages/publications/0007224148

U2 - 10.1016/0024-3795(89)90367-4

DO - 10.1016/0024-3795(89)90367-4

M3 - Article

AN - SCOPUS:0007224148

SN - 0024-3795

VL - 120

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

ER -

On Bezoutians, Van der Monde matrices, and the Lienard-Chipart stability criterion

Abstract

ASJC Scopus subject areas

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