Results 211 to 220 of about 40,373 (225)

Matrix Valued Orthogonal Polynomials Arising from the Complex Projective Space

Constructive Approximation, 2006
The main purpose of this paper is to display new families of matrix valued orthogonal polynomials satisfying second-order differential equations, obtained from the representation theory of U(n). Given an arbitrary positive definite weight matrix W(t) one can consider the corresponding matrix valued orthogonal polynomials.
I. Pacharoni, J. Tirao
openaire   +3 more sources

Quasi-Birth-and-Death Processes and Matrix-Valued Orthogonal Polynomials

SIAM Journal on Matrix Analysis and Applications, 2010
We consider a matrix-valued spectral decomposition of a family of block-tridiagonal matrices arising as the transition matrices of so-called quasi-birth-and-death processes. This representation is a generalization of the Karlin-McGregor representation for the $n$-step transition probabilities of a birth-and-death process via a system of orthogonal ...
openaire   +3 more sources

Distribution of Zeros of Matrix-Valued Continuous Analogues of Orthogonal Polynomials

1992
The number of zeros in the upper half-plane, counting multiplicities, of a matrix-valued continuous analogue of an orthogonal polynomial is shown to equal the number of negative eigenvalues of the associated integral operator with a matrix-valued kernel.
Robert L. Ellis, Israel Gohberg, David C. Lay   +2 more
openaire   +1 more source

Matrix Valued Orthogonal Polynomials on the Unit Circle: Some Extensions of the Classical Theory

Canadian Mathematical Bulletin, 2009
AbstractIn the work presented below the classical subject of orthogonal polynomials on the unit circle is discussed in the matrix setting. An explicit matrix representation of the matrix valued orthogonal polynomials in terms of the moments of the measure is presented.
openaire   +1 more source

Orthogonal Matrix-valued Polynomials and Applications

Mathematics and Computers in Simulation, 1988
openaire   +2 more sources

Ladder relations for a class of matrix valued orthogonal polynomials

Studies in Applied Mathematics, 2021
Alfredo DeaÑo
exaly  

Matrix-Valued Orthogonal Polynomials and Differential Equations

2020
openaire   +1 more source

Matrix-valued orthogonal polynomials related to the quantum analogue of $$(\mathrm{SU}(2) \times \mathrm{SU}(2), \mathrm{diag})$$ ( SU ( 2 ) × SU ( 2 ) , diag )

Ramanujan Journal, 2016
Noud Aldenhoven, Erik Koelink, Pablo Manuel Roman   +2 more
exaly  

Some Families of Matrix-Valued Jacobi Orthogonal Polynomials

2020
openaire   +1 more source

Matrix-Valued Gegenbauer-Type Polynomials

Constructive Approximation, 2017
Erik Koelink
exaly