Homotopy method for the eigenvalues of symmetric tridiagonal matrices

DOI10.1016/j.cam.2012.08.010zbMath1256.65028OpenAlexW2004501698MaRDI QIDQ455904

J. Herrera, D. Rodríguez-Gómez

Publication date: 22 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.cam.2012.08.010

zbMATH Keywords

convergenceeigenvalueNewton's methodhomotopy methodNewton-Kantorovich theoremsymmetric, tridiagonal matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

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Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix ⋮ Unstructured quotient fixed modes and decentralised stabilisability ⋮ Parallelization of eigenvalue-based dimensional reductions via homotopy continuation

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