Moment perturbation of matrix polynomials
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Publication:5498538
DOI10.1080/10652469.2014.978866zbMath1316.42030OpenAlexW2000393901MaRDI QIDQ5498538
Luis E. Garza, Abdon Eddy Choque Rivero
Publication date: 9 February 2015
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2014.978866
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)
Related Items (5)
An extension of the Geronimus transformation for orthogonal matrix polynomials on the real line ⋮ CMV block matrices for symmetric matrix measures on the unit circle ⋮ Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices ⋮ A canonical Geronimus transformation for matrix orthogonal polynomials ⋮ The matrix Toda equations for coefficients of a matrix three-term recurrence relation
Cites Work
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- The resolvent matrix for the Hausdorff matrix moment problem expressed in terms of orthogonal matrix polynomials
- Indeterminacy criteria for the Stieltjes matrix moment problem
- Perturbations on the antidiagonals of Hankel matrices
- Matrix measures, moment spaces and Favard's theorem for the interval \([0,1\) and \([0,\infty)\)]
- Rational spectral transformations and orthogonal polynomials
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- The matrix version of Hamburger's theorem
- J-EXPANDING MATRIX FUNCTIONS AND THEIR ROLE IN THE ANALYTICAL THEORY OF ELECTRICAL CIRCUITS
- Rodrigues's Formulas for Orthogonal Matrix Polynomials Satisfying Higher-Order Differential Equations
- Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory
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