Results 11 to 20 of about 40,373 (224)
Matrix valued orthogonal polynomials of the Jacobi type
Indagationes Mathematicae, 2003 This paper describes a method for the construction of families of orthogonal polynomials having matrices as coefficients. The construction is based on the definition of a classical pair \((W, D)\). Here \(W\) is a self-adjoint, positive definite, matrix valued weight function; \(D\) is a second order ordinary differential operator with matrix valued ...
Grünbaurn, F.A. +2 more
openaire +3 more sources
Orthogonal matrix polynomials and applications [PDF]
Journal of Computational and Applied Mathematics, 1996 Orthogonal matrix polynomials, on the real line or on the unit circle, have properties which are natural generalizations of properties of scalar orthogonal polynomials, appropriately modified for the matrix calculus.
Ann Sinap +35 more
core +3 more sources
Matrix-Valued Orthogonal Polynomials Related to (SU(2)×SU(2), diag) [PDF]
International Mathematics Research Notices, 2012 33 pages, 4 ...
Koelink, Erik +2 more
openaire +7 more sources
Matrix valued orthogonal polynomials arising from group representation theory and a family of quasi-birth-and-death processes [PDF]
SIAM Journal on Matrix Analysis and Applications, 2008 We consider a family of matrix valued orthogonal polynomials obtained by Pacharoni and Tirao in connection with spherical functions for the pair (SU(N + 1), U(N)); see [I. Pacharoni and J. A. Tirao, Constr. Approx., 25 (2007), pp. 177–192].
Domínguez de la Iglesia, Manuel +1 more
core +3 more sources
A Sequence of Matrix Valued Orthogonal Polynomials Associated to Spherical Functions [PDF]
Constructive Approximation, 2007 The main purpose of this paper is to obtain an explicit expression of a family of matrix valued orthogonal polynomials {P_n}_n, with respect to a weight W, that are eigenfunctions of a second order differential operator D. The weight W and the differential operator D were found in [12], using some aspects of the theory of the spherical functions ...
Pacharoni, I., Roman, P.
openaire +4 more sources
Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice
Studies in Applied MathematicsABSTRACTMatrix‐valued Cauchy bi‐orthogonal polynomials are proposed in this paper, together with its quasideterminant expression. It is shown that the coefficients in the four‐term recurrence relation for matrix‐valued Cauchy bi‐orthogonal polynomials satisfy a novel noncommutative integrable system, whose Lax pair is given by fractional differential ...
Li, Shi-Hao +3 more
openaire +4 more sources
Random matrices with equispaced external source [PDF]
, 2013 We study Hermitian random matrix models with an external source matrix which has equispaced eigenvalues, and with an external field such that the limiting mean density of eigenvalues is supported on a single interval as the dimension tends to infinity ...
Claeys, Tom, Wang, Dong
core +2 more sources
The Riemann-Hilbert problem for matrix-valued orthogonal polynomials [PDF]
, 2008 Domínguez de la Iglesia, Manuel
core +3 more sources
Matrix valued orthogonal polynomials for Gelfand pairs of rank one [PDF]
Tohoku Mathematical Journal, 2016 40 pages, 8 ...
Heckman, G.J. +2 more
openaire +5 more sources
Physics Letters B, 2017 Racah matrices and higher j-symbols are used in description of braiding properties of conformal blocks and in construction of knot polynomials. However, in complicated cases the logic is actually inverted: they are much better deduced from these ...
A. Morozov
doaj +1 more source