Computing derivatives of eigensystems by the topological \(\epsilon\)- algorithm

DOI10.1016/0168-9274(87)90047-XzbMath0632.65040OpenAlexW2119500683MaRDI QIDQ1095585

Roger C. E. Tan

Publication date: 1987

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(87)90047-x

zbMATH Keywords

numerical examplesacceleration of convergencepartial derivatives of eigenvalues and eigenvectorstopological epsilon-algorithm

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Extrapolation to the limit, deferred corrections (65B05)

Related Items (4)

Iterative computation of second‐order derivatives of eigenvalues and eigenvectors ⋮ Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration ⋮ Extrapolation methods and iterative computation of derivatives of eigensystems ⋮ Acceleration methods for vector sequences

Cites Work

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• Convergence acceleration methods: The past decade
• Accelerating the convergence of an iterative method for derivatives of eigensystems
• Accélération de la convergence en analyse numérique
• Convergence of an iterative method for derivatives of eigensystems
• On eigenvalues of matrices dependent on a parameter
• Eigenvectors of certain matrices
• Optimum design sensitivity based on approximation concepts and dual methods
• Acceleration of Convergence of Vector Sequences
• Extrapolation Methods for Vector Sequences
• Computing Derivatives of Eigensystems by the Vector  -Algorithm
• Iterative Computation of Derivatives of Eigenvalues and Eigenvectors
• Solution of Non-linear Eigenvalue Problems by the Continuation Method
• On the Eigenvalues and Eigenvectors of a Class of Hessenberg Matrices

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