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Families Of Generating Functions For The Jacobi And Related Matrix Polynomials. [PDF]

Ars Comb., 2014
The Jacobi matrix polynomials and their orthogonality only for commutative matrices was first studied by Defez et. al. [Jacobi matrix differential equation, polynomial solutions and their properties. Comput. Math. Appl. 48 (2004), 789-803]. It is known that orthogonal matrix polynomials comprise an emerging field of study, with important results in ...
ÇEKİM, BAYRAM, Erkus-Duman, ESRA, ALTIN, ABDULLAH   +2 more
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Matrix valued orthogonal polynomials of the Jacobi type [PDF]

Indagationes Mathematicae, 2003
The main purpose of this paper is to present new families of Jacobi type matrix valued orthogonal ...
Pacharoni, I., Grünbaurn, F.A., Tirao, J.   +2 more
exaly   +2 more sources

Improved Jacobi matrix method for the numerical solution of Fredholm integro-differential-difference equations [PDF]

Mathematical Sciences, 2016
This study is aimed to develop a new matrix method, which is used an alternative numerical method to the other method for the high-order linear Fredholm integro-differential-difference equation with variable coefficients.
Mehmet Çevik, Mehmet Sezer, Muhammet Mustafa Bahsi   +2 more
exaly   +4 more sources

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On the g-Jacobi Matrix Functions

2013
In this paper, we introduce a matrix version of the generalized Jacobi (g-Jacobi) function, which is a solution of fractional Jacobi differential equation, and study its fundamental properties. We also present the fractional hypergeometric matrix function as a solution of the matrix generalization of the fractional Gauss differential equation.
Erkuş-Duman, Esra, Çekim, Bayram
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The Jacobi Matrix for Functions in Noncommutative Algebras

Advances in Applied Clifford Algebras, 2014
The authors develop a general tool for constructing the exact Jacobi matrix for functions defined in noncommutative algebraic systems without using any partial derivative. The construction is applied to solving nonlinear problems of the form \(f(x) = 0\) with the aid of Newton's method in algebras defined in \({\mathbb{R}^N}\).
Lauterbach, Reiner, Opfer, Gerhard
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A kind of inverse eigenvalue problems of Jacobi matrix

Applied Mathematics and Computation, 2006
The authors consider the problem of reconstructing two \(n\times n\) Jacobi matrices \(J_{n},\;J_{n}^{\ast }\) and vectors \(X_{1}\), \(Y_{1}\in \mathbb{R}^{k}\) such that for a given \(k\times k\) Jacobi matrix \(J_{k}\) where \( \left( 1\leq k\leq n-1\right) \), real scalars \(S,\; \lambda,\; \mu \) and vectors \(X_{2},\) \(Y_{2}\in \mathbb{R}^{n-k}\)
Juan Peng, Xi-Yan Hu, Lei Zhang 0010
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A matrix model for the β-Jacobi ensemble

Journal of Mathematical Physics, 2003
This note presents a random matrix model for general (β>0) β-Jacobi ensembles. This generalizes the well-known MANOVA models for β=1,2,4 and eliminates the quantization of β (and other parameters) present in the previously known models. This model is a partial answer to an open problem presented by Dumitriu and Edelman, where they also presented
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Jacobi- und Hesse-Matrix

1995
Mit dem Konzept der partiellen Ableitung verknupft sind Jacobi- und Hesse-Matrix, sowie Divergenz, Rotation und Laplace-Operator. Hierfur stellt Maple entsprechende Befehle bereit, auf die wir jetzt eingehen.
Rüdiger Braun, Reinhold Meise
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Jacobi Operators and Orthonormal Matrix-Valued Polynomials. II

Ukrainian Mathematical Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hatamleh, R., Zolotarev, V. A.
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Relationship of eigenvalue between MPSD iterative matrix and Jacobi iterative matrix

2010 International Conference on Machine Learning and Cybernetics, 2010
Relationship of eigenvalue between MPSD iterative matrix and Jacobi iterative matrix for block p-cyclic case is obtained. The results in corresponding references are improved and perfected.
Zhuan-De Wang, Chuan-Sheng Yang, Li Tan
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