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Factoring Block Fiedler Companion Matrices (Q3294688)

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scientific article

Language	Label	Description	Also known as
English	Factoring Block Fiedler Companion Matrices	scientific article

Statements

scholarly article

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Factoring Block Fiedler Companion Matrices (English)

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Gianna M. Del Corso

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Federico Poloni

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Structured Matrices in Numerical Linear Algebra

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publication date

29 June 2020

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zbMATH Keywords

companion matrix

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Fiedler linearizations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-04088-8_7

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A comparison of eigenvalue condition numbers for matrix polynomials

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A new family of companion forms of polynomial matrices

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Fast Computation of the Zeros of a Polynomial via Factorization of the Companion Matrix

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Fast and Backward Stable Computation of Roots of Polynomials

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Fast and stable unitary QR algorithm

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Core-Chasing Algorithms for the Eigenvalue Problem

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Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials

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A CMV-Based Eigensolver for Companion Matrices

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Compression of unitary rank-structured matrices to CMV-like shape with an application to polynomial rootfinding

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Fast QR iterations for unitary plus low rank matrices

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On a class of matrix pencils and \(\ell\)-ifications equivalent to a given matrix polynomial

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Fast QR Eigenvalue Algorithms for Hessenberg Matrices Which Are Rank‐One Perturbations of Unitary Matrices

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A fast implicit QR eigenvalue algorithm for companion matrices

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Implicit QR for rank-structured matrix pencils

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A real QZ algorithm for structured companion pencils

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Eigenvectors and minimal bases for some families of Fiedler-like linearizations

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Palindromic linearizations of a matrix polynomial of odd degreee obtained from Fiedler pencils with repetition

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Recovery of Eigenvectors and Minimal Bases of Matrix Polynomials from Generalized Fiedler Linearizations

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Structured strong linearizations from Fiedler pencils with repetition. I.

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Large vector spaces of block-symmetric strong linearizations of matrix polynomials

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A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error

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Fiedler Companion Linearizations and the Recovery of Minimal Indices

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Palindromic companion forms for matrix polynomials of odd degree

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Condition numbers for inversion of Fiedler companion matrices

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Spectral equivalence of matrix polynomials and the index sum theorem

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Block Kronecker linearizations of matrix polynomials and their backward errors

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A note on companion matrices

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An algorithm for the complete solution of quadratic eigenvalue problems

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Symmetric Linearizations for Matrix Polynomials

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Vector Spaces of Linearizations for Matrix Polynomials

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Counting Fiedler pencils with repetitions

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On the complexity of matrix product

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A Framework for Structured Linearizations of Matrix Polynomials in Various Bases

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Backward error and condition of polynomial eigenvalue problems

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Polynomial eigenvalue solver based on tropically scaled Lagrange linearization

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A permuted factors approach for the linearization of polynomial matrices

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-04088-8_7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3294688

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