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Journal of Computational and Applied Mathematics
Volume 59, Issue 1, 28 April 1995, Pages 1-8
 
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doi:10.1016/0377-0427(94)00013-Q    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1995 Published by Elsevier Science B.V.

Henrici's transformation and its application to the computation of derivatives of eigensystems

Roger C. E. Tana and Alan L. Andrewb, Corresponding Author Contact Information, E-mail The Corresponding Author

a Department of Mathematics and Programme in Computational Science, National University of Singapore, Singapore 0511 b Department of Mathematics, La Trobe University, Bundoora, Vic. 3083, Australia

Received 2 June 1992; 
revised 20 December 1993. 
Available online 5 April 2000.

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Abstract

In this paper, we examine the application of Henrici's transformation to a sequence of vectors generated by a simultaneous iteration method for computing the partial derivatives of eigenvalues and eigenvectors of parameter-dependent matrices. Numerical results support our theoretical analysis and indicate that Henrici's method compares favorably with other vector sequence transformation methods.

Author Keywords: Henrici's transformation; Vector sequences; Derivatives of eigenvalues and eigenvectors; H-algorithm

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