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

DOI10.1016/0377-0427(94)00013-QzbMath0832.65037MaRDI QIDQ1899964

Roger C. E. Tan, Alan L. Andrew

Publication date: 20 November 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical exampleseigenvalueseigenvectorsnumerical comparisonslarge sparse matricesHenrici's transformationderivatives of eigensystems

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (3)

Iterative computation of second‐order derivatives of eigenvalues and eigenvectors ⋮ Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration ⋮ Partial derivatives of the eigen-triplet of the quadratic eigenvalue problem depending on several parameters

Cites Work

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• An extrapolation method for computing derivatives of eigensystems
• Computing Derivatives of Eigenvalues and Elgenvectors by Simultaneous Iteration
• A subspace iteration for eigenvector derivatives
• Iterative computation of second‐order derivatives of eigenvalues and eigenvectors
• Computation of derivatives of repeated eigenvalues and corresponding eigenvectors by simultaneous iteration

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