Results 251 to 260 of about 1,874,459 (287)

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
openaire   +1 more source

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