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Explicit polar decomposition of companion matrices

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Publication:4379571
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DOI10.13001/1081-3810.1005zbMath0895.15004OpenAlexW1606786794MaRDI QIDQ4379571

Harald K. Wimmer, Pauline van den Driessche

Publication date: 8 March 1998

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/119551


zbMATH Keywords

companion matrixsingular valuesbounds for zerosleft polar decomposition


Mathematics Subject Classification ID

Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)


Related Items (6)

An algorithm to compute the polar decomposition of a \(3 \times 3\) matrix ⋮ Singular value decomposition of multi-companion matrices ⋮ Is every matrix similar to a polynomial in a companion matrix? ⋮ Some decomposition results for companion matrices ⋮ Companion matrices: Reducibility, numerical ranges and similarity to contractions ⋮ The polar decomposition of block companion matrices


Uses Software

  • Algorithm 694



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