On the arrangement of coefficients of ultraspherical polynomials
Chatterjea, S.K. (1966)
Portugaliae mathematica
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Displaying similar documents to “Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory”
On the arrangement of coefficients of ultraspherical polynomials
On uniform symmetrization of analytic matrix functions
J. Kisyński (1972)
Studia Mathematica
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A method of approximate factorization of positive definite matrix functions
Gigla Janashia, Edem Lagvilava (1999)
Studia Mathematica
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An algorithm of factorization of positive definite matrix functions of second order is proposed.
Some relations on Humbert matrix polynomials
Ayman Shehata (2016)
Mathematica Bohemica
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The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix representations, matrix differential equation and expansions in series of some relatively more familiar matrix polynomials of Legendre, Gegenbauer, Hermite, Laguerre and modified Laguerre. Finally, some definitions of generalized Humbert matrix...
On Nonadaptive Search Problem
Kolev, Emil (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 91A46, 91A35. We consider nonadaptive search problem for an unknown element x from the set A = {1, 2, 3, . . . , 2^n}, n ≥ 3. For fixed integer S the questions are of the form: Does x belong to a subset B of A, where the sum of the elements of B is equal to S? We wish to find all integers S for which nonadaptive search with n questions finds x. We continue our investigation from [4] and solve the last remaining case n = 2^k , k ≥ 2. ...
A numerical method of matrix spectral factorization
Zdeněk Vostrý (1972)
Kybernetika
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On generalized Jacobi matrices and orthogonal polynomials.
Zagorodnyuk, Sergey M. (2003)
The New York Journal of Mathematics [electronic only]
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Solving two-point boundary value problems for the non monic regular matrix differential equation
Navarro, E., Jódar, L. (1991)
Portugaliae mathematica
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Algebraic matrix equations in systems theory
Hernández, Vicente G. (1985-1986)
Portugaliae mathematica
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Matrix quadratic equations column/row reduced factorizations and an inertia theorem for matrix polynomials
Irina Karelin, Leonid Lerer (2001)
International Journal of Applied Mathematics and Computer Science
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It is shown that a certain Bezout operator provides a bijective correspondence between the solutions of the matrix quadratic equation and factorizatons of a certain matrix polynomial (which is a specification of a Popov-type function) into a product of row and column reduced polynomials. Special attention is paid to the symmetric case, i.e. to the Algebraic Riccati Equation. In particular, it is shown that extremal solutions of such equations correspond to spectral factorizations of...