Relations between the orthogonal matrix polynomials on \([a,b]\), Dyukarev-Stieltjes parameters, and Schur complements
From MaRDI portal
Publication:1698566
DOI10.1515/spma-2017-0023zbMath1407.30016OpenAlexW2782920969MaRDI QIDQ1698566
Publication date: 16 February 2018
Published in: Special Matrices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/spma-2017-0023
Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Moment problems and interpolation problems in the complex plane (30E05) Continued fractions; complex-analytic aspects (30B70)
Related Items (6)
Hurwitz polynomials and orthogonal polynomials generated by Routh-Markov parameters ⋮ Three-term recurrence relation coefficients and continued fractions related to orthogonal matrix polynomials on the finite interval [a, b] ⋮ Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem ⋮ On the resolvent matrix of the truncated Hausdorff matrix moment problem ⋮ A Schur-Nevanlinna type algorithm for the truncated matricial Hausdorff moment problem ⋮ The matrix Toda equations for coefficients of a matrix three-term recurrence relation
Cites Work
- The resolvent matrix for the Hausdorff matrix moment problem expressed in terms of orthogonal matrix polynomials
- From the Potapov to the Krein-Nudel'man representation of the resolvent matrix of the truncated Hausdorff matrix moment problem
- The time optimal control as an interpolation problem
- A generalized Stieltjes criterion for the complete indeterminacy of interpolation problems
- On Hankel nonnegative definite sequences, the canonical Hankel parametrization, and orthogonal matrix polynomials
- Indeterminacy criteria for the Stieltjes matrix moment problem
- Matrix differential equations and scalar polynomials satisfying higher order recursions
- The admissible control problem from the moment problem point of view
- Matrix continued fractions
- Matrix measures, moment spaces and Favard's theorem for the interval \([0,1\) and \([0,\infty)\)]
- Dyukarev-Stieltjes parameters of the truncated Hausdorff matrix moment problem
- On resolvent matrix, Dyukarev-Stieltjes parameters and orthogonal matrix polynomials via \([0, \infty)\)-Stieltjes transformed sequences
- Scattering theory and matrix orthogonal polynomials on the real line
- Matrix-valued continued fractions.
- On Dyukarev's resolvent matrix for a truncated Stieltjes matrix moment problem under the view of orthogonal matrix polynomials
- On matrix Hurwitz type polynomials and their interrelations to Stieltjes positive definite sequences and orthogonal matrix polynomials
- Transformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequences
- The matrix version of Hamburger's theorem
- Decompositions of the Blaschke-Potapov factors of the truncated Hausdorff matrix moment problem: the case of an odd number of moments
- Decompositions of the Blaschke-Potapov factors of the truncated Hausdorff matrix moment problem: the case of an even number of moments
- Markov's Theorem for Orthogonal Matrix Polynomials
- The Analytic Theory of Matrix Orthogonal Polynomials
- On the Solution Set of the Admissible Bounded Control Problem via Orthogonal Polynomials
- Indeterminacy of interpolation problems in the Stieltjes class
- Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory
- Power moment problem on compact intervals
- Matrix Chebyshev polynomials and continued fractions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Relations between the orthogonal matrix polynomials on \([a,b]\), Dyukarev-Stieltjes parameters, and Schur complements
