Results 301 to 310 of about 1,874,872 (323)

Skew-orthogonal polynomials and random-matrix ensembles

Physical Review E, 2002
There is considerable interest in understanding the relation between random-matrix ensembles and quantum chaotic systems in the context of the universality of energy-level correlations. In this connection, while Gaussian ensembles of random matrices have been studied extensively, not much is known about ensembles with non-Gaussian weight functions ...
Ghosh, Saugata, Pandey, Akhilesh
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Quadratic decomposition of orthogonal polynomials: a matrix approach

Numerical Algorithms, 1992
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Francisco Marcellán, Gabriela Sansigre
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Rectangular matrix Padé approximants and square matrix orthogonal polynomials

Numerical Algorithms, 1997
Using the method of linear functionals introduced by \textit{C. Brezinski} [Padé-type approximation and general orthogonal polynomials (1980; Zbl 0418.41012] the authors study rectangular (left) matrix Padé approximants to formal power series with \(p\times q\) matrices as coefficients. The parallel to the classical scalar case is remarkable. Existence
André Draux, Borhane Moalla
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Discrete orthogonal matrix polynomials

Analysis Mathematica, 2009
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Matrix factorizations and orthogonal polynomials

Random Matrices: Theory and Applications, 2019
We present some elements of the theory of orthogonal polynomials based on matrix decompositions. We focus our attention on discrete linear functionals, and use the Meixner polynomials as a concrete example.
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Matrix transformations of series of orthogonal polynomials

Mathematika, 1995
For a sequence of polynomials \((P_n)\) orthonormal on the interval \([- 1, 1]\), the sequence of transforms \((g_n)\) of the series \(\sum^\infty_{k= 0} a_k P_k(u)\) given by \(g_n(u):= \sum^\infty_{k= 0} b_{nk} a_k P_k(u)\) is considered. Necessary and sufficient conditions on the the matrix \((b_{nk})\) are established for the sequence \((g_n)\) to ...
Borwein, David, Borwein, Peter, Jakimovski, Amnon   +2 more
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Matrix orthogonal polynomials on the unit circle

Journal of Mathematical Physics, 1981
The properties of matrix orthogonal polynomials on the unit circle are investigated beginning with their recurrence formulas. The techniques of scattering theory and Banach algebras are used in the investigation. A matrix generalization of a theorem of Baxter is proved.
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Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations

Journal of Difference Equations and Applications, 2022
Teresa E Perez, Cleonice Bracciali
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Coherent pairs and Sobolev-type orthogonal polynomials on the real line: An extension to the matrix case

Journal of Mathematical Analysis and Applications, 2023
Luis E Garza, Edinson Fuentes
exaly  

Spectral decomposition and matrix-valued orthogonal polynomials

Advances in Mathematics, 2013
Mourad Ismail, Wolter Groenevelt, Erik Koelink   +2 more
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