Polynomial Equations and Circulant Matrices

DOI10.2307/2695555zbMath1029.15021OpenAlexW4245344118MaRDI QIDQ4408870

James E. White, Dan Kalman

Publication date: 9 February 2004

Full work available at URL: https://doi.org/10.2307/2695555

zbMATH Keywords

eigenvaluesdiscrete Fourier transformcirculant matricespolynomial rootscubicsquarticsquadraticslow degree polynomial equationsspecified characteristic polynomial

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Polynomials in number theory (11C08) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10)

Related Items (5)

Real algebraic numbers and polynomial systems of small degree ⋮ A new aspect of Hankel matrices via Krylov matrix ⋮ Control of amplitude death by coupling range in a network of fractional-order oscillators ⋮ Remarks on circulant matrices and critical points of polynomials ⋮ On a class of matrices generated by certain generalized permutation matrices and applications

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