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Winter 1999 Durand-Kerner Root-Finding Method for the Generalized Tridiagonal Eigenproblem
Kuiyuan Li
Missouri J. Math. Sci. 11(1): 33-43 (Winter 1999). DOI: 10.35834/1999/1101033

Abstract

In this paper we present a method, parallel in nature, for finding all eigenvalues of a symmetric generalized tridiagonal matrix. Our method employs the determinant evaluation and the Durand-Kerner root-finding scheme. It will be shown that the method converges quadratically and is reliable, efficient, and easy to implement in practice.

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Kuiyuan Li. "Durand-Kerner Root-Finding Method for the Generalized Tridiagonal Eigenproblem." Missouri J. Math. Sci. 11 (1) 33 - 43, Winter 1999. https://doi.org/10.35834/1999/1101033

Information

Published: Winter 1999
First available in Project Euclid: 23 November 2019

zbMATH: 1097.65514
MathSciNet: MR1674518
Digital Object Identifier: 10.35834/1999/1101033

Rights: Copyright © 1999 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.11 • No. 1 • Winter 1999
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