Results 291 to 300 of about 1,874,872 (323)

Exact solutions of Dirac equation for hydrogen atom using the linear combination of orthogonal Laguerre basis functions. [PDF]

Sci Rep
Wu S.
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RETRACTED: A novel spectral transformation technique based on special functions for improved chest X-ray image classification.

PLoS One
Aljohani A.
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Differential properties of orthogonal matrix polynomials

, 2017
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Hermitean Matrix Ensembles and Orthogonal Polynomials

Studies in Applied Mathematics, 1998
In this article, we investigate orthogonal polynomials associated with complex Hermitean matrix ensembles using the combination of the methods of Coulomb fluid (or potential theory), chain sequences, and Birkhoff–Trjitzinsky theory. We give a general formula for the largest eigenvalue of the N×N Jacobi matrices (which is equivalent to estimating the ...
Chen, Yang, Ismail, Mourad E. H.
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Orthogonal Matrix Polynomials

2003
This chapter is devoted to proving a matrix version of Krein’s Theorem. The proof relies on methods that are different from those used in the scalar case.
Robert L. Ellis, Israel Gohberg
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On Orthogonal Matrix Polynomials

1988
This paper contains a generalization of M.G. Krein’s theorem about the distribution of zeros of orthogonal polynomials for the matrix-valued case. The proof is based on the theory of rational matrix-valued functions unitary on the unit circle.
Daniel Alpay, Israel Gohberg
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Orthogonal Matrix Laurent Polynomials

Mathematical Notes, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modified Moments and Matrix Orthogonal Polynomials

Acta Applicandae Mathematica, 2000
It is known that, in the scalar case, a good via to compute recurrence coefficients of polynomials orthogonal with respect to a nonnegative measure is the modified Chebyshev algorithm [cf. \textit{R. A. Sack} and \textit{A. F. Donavan}, Numer. Math. 18, 465-478 (1972; Zbl 0221.65041)]. This algorithm, recently extended to the vector case [cf.
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Markov's Theorem for Orthogonal Matrix Polynomials

Canadian Journal of Mathematics, 1996
AbstractMarkov's Theorem shows asymptotic behavior of the ratio between the n-th orthonormal polynomial with respect to a positive measure and the n-th polynomial of the second kind. In this paper we extend Markov's Theorem for orthogonal matrix polynomials.
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Orthogonal Matrix Polynomials

1990
An overview is given of some classical and recent results concerning zeros of orthogonal matrix polynomials on the unit circle. The basic questions are: How these zeros are located in the complex plane? Conversely, what conditions on the location of the zeros of a given matrix polynomial ensure that the polynomial is orthogonal?
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