To solving the eigenvalue problem for polynomial matrices of general form

DOI10.1007/S10958-012-0791-6zbMath1256.65029OpenAlexW1969428183MaRDI QIDQ690611

V. N. Kublanovskaya

Publication date: 28 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0791-6

zbMATH Keywords

algorithmeigenvalue problempolynomial matrixmethod of hereditary pencilsrank factorization methods

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54)

Cites Work

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• AB-algorithm and its modifications for the spectral problems of linear pencils of matrices
• To solving problems of algebra for two-parameter matrices. I.
• RGSVD—AN Algorithm for Computing the Kronecker Structure and Reducing Subspaces of Singular $A - \lambda B$ Pencils
• A General Matrix Eigenvalue Algorithm
• An Algorithm for Generalized Matrix Eigenvalue Problems

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