Explicit block-structures for block-symmetric Fiedler-like pencils

zbMath1405.65050arXiv1711.06300MaRDI QIDQ4615397

Madeline Martin, Alexander Song, Irina Viviano, Javier J. Pérez, María Isabel Bueno

Publication date: 28 January 2019

Full work available at URL: https://arxiv.org/abs/1711.06300

zbMATH Keywords

matrix polynomialstrong linearizationFiedler pencilblock minimal bases pencilsymmetric strong linearizationblock Kronecker pencilblock-symmetric generalized Fiedler pencilblock-symmetric generalized Fiedler pencil with repetitionextended block Kronecker pencil

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) Matrix pencils (15A22)

Related Items (5)

A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error ⋮ Structured strong $\boldsymbol{\ell}$-ifications for structured matrix polynomials in the monomial basis ⋮ Automatic recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler pencils with repetition ⋮ A simplified approach to Fiedler-like pencils via block minimal bases pencils ⋮ On why using \(\mathbb{DL}(P)\) for the symmetric polynomial eigenvalue problem might need to be reconsidered

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