Error analysis of signal zeros from a related companion matrix eigenvalue problem

Fermin S.V. Bazán; Ph.L. Toint

doi:10.1016/S0893-9659(01)00056-8

Error analysis of signal zeros from a related companion matrix eigenvalue problem

Fermin S.V. Bazán, Ph.L. Toint

Résultats de recherche: Contribution à un journal/une revue › Article › Revue par des pairs

Résumé

An error analysis of the so-called signal zeros of polynomials linked to exponentially damped signals is performed and error bounds are derived. The analysis uses the link between polynomials and companion matrices and allows us to show that the related companion matrix eigenvalue problem is governed by the condition number of a rectangular Vandermonde matrix which has the zeros of interest as nodes. Conditions under which the zeros are well conditioned are discussed. © 2001 Elsevier Science Ltd. All rights reserved.

langue originale	Anglais
Pages (de - à)	859-866
Nombre de pages	8
journal	Applied Mathematics Letters
Volume	14
Numéro de publication	866
Les DOIs	https://doi.org/10.1016/S0893-9659(01)00056-8
Etat de la publication	Publié - 1 oct. 2001

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10.1016/S0893-9659(01)00056-8

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ADALGOPT: ADALGOPT - Algorithmes avancés en optimisation non-linéaire
Sartenaer, A. & TOINT, P.
1/01/87 → …
Projet: Axe de recherche

Contient cette citation

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title = "Error analysis of signal zeros from a related companion matrix eigenvalue problem",

abstract = "An error analysis of the so-called signal zeros of polynomials linked to exponentially damped signals is performed and error bounds are derived. The analysis uses the link between polynomials and companion matrices and allows us to show that the related companion matrix eigenvalue problem is governed by the condition number of a rectangular Vandermonde matrix which has the zeros of interest as nodes. Conditions under which the zeros are well conditioned are discussed. {\textcopyright} 2001 Elsevier Science Ltd. All rights reserved.",

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AU - Toint, Ph.L.

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N2 - An error analysis of the so-called signal zeros of polynomials linked to exponentially damped signals is performed and error bounds are derived. The analysis uses the link between polynomials and companion matrices and allows us to show that the related companion matrix eigenvalue problem is governed by the condition number of a rectangular Vandermonde matrix which has the zeros of interest as nodes. Conditions under which the zeros are well conditioned are discussed. © 2001 Elsevier Science Ltd. All rights reserved.

AB - An error analysis of the so-called signal zeros of polynomials linked to exponentially damped signals is performed and error bounds are derived. The analysis uses the link between polynomials and companion matrices and allows us to show that the related companion matrix eigenvalue problem is governed by the condition number of a rectangular Vandermonde matrix which has the zeros of interest as nodes. Conditions under which the zeros are well conditioned are discussed. © 2001 Elsevier Science Ltd. All rights reserved.

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DO - 10.1016/S0893-9659(01)00056-8

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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ER -

Error analysis of signal zeros from a related companion matrix eigenvalue problem

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Projets

ADALGOPT: ADALGOPT - Algorithmes avancés en optimisation non-linéaire

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