Generalized Fiedler Pencils for Rational Matrix Functions

DOI10.1137/16M1108200zbMath1392.65083OpenAlexW2795837681WikidataQ130012647 ScholiaQ130012647MaRDI QIDQ5373927

Namita Behera, Rafikul Alam

Publication date: 6 April 2018

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1108200

zbMATH Keywords

eigenvaluesystem matrixlinearizationminimal realizationeigenvectormatrix polynomialmatrix pencilFiedler pencilrational matrix function

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (10)

Generalized Fiedler pencils with repetition for rational matrix functions ⋮ Automatic recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler pencils with repetition ⋮ Affine spaces of strong linearizations for rational matrices and the recovery of eigenvectors and minimal bases ⋮ Block full rank linearizations of rational matrices ⋮ Generalized Fiedler Pencils for Rational Matrix Functions ⋮ Recovery of minimal bases and minimal indices of rational matrices from Fiedler-like pencils ⋮ Palindromic linearizations of palindromic matrix polynomials of odd degree obtained from Fiedler-like pencils ⋮ On minimal bases and indices of rational matrices and their linearizations ⋮ Fiedler Linearizations for Higher Order State-Space Systems ⋮ Structured strong linearizations of structured rational matrices

Cites Work

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