Polynomials and Hankel matrices

DOI10.1016/0024-3795(85)90135-1zbMath0569.15005OpenAlexW2074684747MaRDI QIDQ1061191

Miroslav Fiedler

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90135-1

zbMATH Keywords

companion matrixHankel matrixcompatibility

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items (18)

More on Loewner matrices ⋮ Bézout, Hankel, and Loewner matrices ⋮ Bézoutians and intertwining matrices ⋮ Intertwining and testing matrices corresponding to a polynomial ⋮ Multiplication of diagonal transforms of Loewner matrices ⋮ Loewner and Bézout matrices ⋮ Characterizations of Bézout and Hankel-Bézout matrices ⋮ Confluent Cauchy and Cauchy-Vandermonde matrices ⋮ A fast method to diagonalize a Hankel matrix ⋮ Vandermonde factorization and canonical representations of block Hankel matrices ⋮ A new aspect of Hankel matrices via Krylov matrix ⋮ Solvability of an inverse spectral problem for Jacobi matrices with mixed given data ⋮ On Hankel matrices and the symmetric nonnegative inverse eigenvalue problem ⋮ Polynomials compatible with a symmetric Loewner matrix ⋮ Bézoutian representation via Vandermonde matrices ⋮ On prescribing the convergence behavior of the conjugate gradient algorithm ⋮ Characteristics of Hankel matrices ⋮ Correlators of Polynomial Processes

Cites Work

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• Hankel and Loewner matrices
• Quasidirect decompositions of Hankel and Toeplitz matrices
• Application of Hankel matrices of Markov parameters to the solutions of the Routh-Hurwitz and the Schur-Cohn problems
• Biorthogonal systems and the infinite companion matrix
• Spectral radius, norms of iterates, and the critical exponent
• Some extensions of Hankel and Toeplitz matrices

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