Convergence of an iterative method for derivatives of eigensystems

DOI10.1016/0021-9991(78)90102-XzbMath0374.65017OpenAlexW2154559668MaRDI QIDQ1244972

Alan L. Andrew

Publication date: 1978

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(78)90102-x

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10)

Related Items (11)

Accelerating the convergence of an iterative method for derivatives of eigensystems ⋮ Computing derivatives of eigensystems by the topological \(\epsilon\)- algorithm ⋮ Henrici's transformation and its application to the computation of derivatives of eigensystems ⋮ Iterative computation of second‐order derivatives of eigenvalues and eigenvectors ⋮ A new iterative method for many eigenpair partial derivatives ⋮ Direct computation of derivatives of eigenvalues and eigenvectors ⋮ Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration ⋮ An iterative method for partial derivatives of eigenvectors of quadratic eigenvalue problems ⋮ Extrapolation methods and iterative computation of derivatives of eigensystems ⋮ An extrapolation method for computing derivatives of eigensystems ⋮ A high order continuation method to locate exceptional points and to compute Puiseux series with applications to acoustic waveguides

Cites Work

• Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices
• On eigenvalues of matrices dependent on a parameter
• Simplified calculation of eigenvector derivatives
• Unnamed Item

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