Singular Values of Companion Matrices and Bounds on Zeros of Polynomials
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Publication:4325697
DOI10.1137/S0895479893260139zbMath0819.15014MaRDI QIDQ4325697
Publication date: 13 March 1995
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Inequalities involving eigenvalues and eigenvectors (15A42) 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 (23)
The Composition of Polynomials is a Determinant ⋮ Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices ⋮ A Note on Perturbation Estimates for Invariant Subspaces of Hessenberg Matrices ⋮ Parameter estimation for nonincreasing exponential sums by Prony-like methods ⋮ Singular value decomposition of multi-companion matrices ⋮ Extremal sparsity of the companion matrix of a polynomial ⋮ Numerical radius inequalities and estimation of zeros of polynomials ⋮ The Coefficients of the FOM and GMRES Residual Polynomials ⋮ Bounds and majorization relations for the critical points of polynomials ⋮ Matrices whose eigenvalues are those of a quadratic matrix polynomial ⋮ Estimations of zeros of a polynomial using numerical radius inequalities ⋮ Notes on some bounds for the zeros of polynomials ⋮ Perturbation bounds for polynomials ⋮ Sparse approximate reconstruction decomposed by two optimization problems ⋮ Some decomposition results for companion matrices ⋮ Bounds and Majorization Relations for the Zeros of Polynomials ⋮ Spectral radius inequalities for operator matrices with commuting entries ⋮ Bounds and a majorization for the real parts of the zeros of polynomials ⋮ Bounds for the zeros of polynomials from matrix inequalities – II ⋮ Nonscalar matrix polynomial representation of some scalar polynomials ⋮ Bounds for eigenvalues of matrix polynomials ⋮ Bounds for the zeros of polynomials from compression matrix inequalities ⋮ The polar decomposition of block companion matrices
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