scientific article; zbMATH DE number 741197

zbMath0817.15014MaRDI QIDQ4327541

Alan Edelman, Eric Kostlan

Publication date: 9 April 1995

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

eigenvaluestrigonometric polynomialsreal zerosKac's matrixKac's random polynomials

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (14)

Umbral operators for Cayley and Sylvester continuants ⋮ Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix ⋮ An explicit formula for singular values of the Sylvester-Kac matrix ⋮ Unnamed Item ⋮ Combinatorial identities related to eigen-function decompositions of Hill operators: open questions ⋮ A short note on the determinant of a Sylvester-Kac type matrix ⋮ Applications of Magnus expansions and pseudospectra to Markov processes ⋮ The Sylvester-Kac matrix space ⋮ Unnamed Item ⋮ $q$-Deformation of the Kac-Sylvester tridiagonal matrix ⋮ A test matrix for an inverse eigenvalue problem ⋮ The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation ⋮ Cayley continuants ⋮ A new type of Sylvester–Kac matrix and its spectrum

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