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On Orthogonal Matrix Polynomials
"... this paper we deal with orthogonal matrix polynomials. First of all, we establish some basic notations and results we need later. A matrix polynomial P is a matrix whose entries are polynomials, or, equivalently, a combination ..."
Abstract
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Cited by 5 (0 self)
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this paper we deal with orthogonal matrix polynomials. First of all, we establish some basic notations and results we need later. A matrix polynomial P is a matrix whose entries are polynomials, or, equivalently, a combination
The orthogonal matrix diagonalizes ME is
, 2000
"... We have studied the large mixing angle MSW solution for the solar neutrinos in the non-abelian flavor symmetry. We predict the MNS mixing matrix taking account of the symmetry breakings. ..."
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We have studied the large mixing angle MSW solution for the solar neutrinos in the non-abelian flavor symmetry. We predict the MNS mixing matrix taking account of the symmetry breakings.
Almost orthogonal submatrices of an orthogonal matrix
"... Abstract. Let t ≥ 1 and let n, M be natural numbers, n < M. Let A = (ai,j) be an n × M matrix whose rows are orthonormal. Suppose that for all j M n · n∑ ..."
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Cited by 6 (1 self)
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Abstract. Let t ≥ 1 and let n, M be natural numbers, n < M. Let A = (ai,j) be an n × M matrix whose rows are orthonormal. Suppose that for all j M n · n∑
Orthogonal Matrix Decompositions In Systems And Control
, 1999
"... . In this paper we present several types of orthogonal matrix decompositions used in systems and control. We focus on those related to eigenvalue and singular value problems and include generalizations to several matrices. 1. Introduction In systems and control theory, one often uses state space mo ..."
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Cited by 1 (0 self)
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. In this paper we present several types of orthogonal matrix decompositions used in systems and control. We focus on those related to eigenvalue and singular value problems and include generalizations to several matrices. 1. Introduction In systems and control theory, one often uses state space
Orthogonal matrix polynomials: zeros and Blumenthal’ Theorem
- J. Approx. Theory
, 1996
"... Abstract. In this paper, we establish a quadrature formula and some basic properties of the zeros of a sequence (Pn)n of orthogonal matrix polynomials on the real line with respect to a positive de¯nite matrix of measures. Using these results, we show how to get an orthog-onalizing matrix of measure ..."
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Cited by 37 (7 self)
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Abstract. In this paper, we establish a quadrature formula and some basic properties of the zeros of a sequence (Pn)n of orthogonal matrix polynomials on the real line with respect to a positive de¯nite matrix of measures. Using these results, we show how to get an orthog-onalizing matrix
SPECTRAL ANALYSIS OF THE FREE ORTHOGONAL MATRIX
, 901
"... Abstract. We compute the spectral measure of the standard generators uij of the Wang algebra Ao(n). We show in particular that this measure has support [−2 / √ n + 2, 2 / √ n + 2], and that it has no atoms. The computation is done by using various techniques, involving the general Wang algebra Ao( ..."
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Cited by 15 (9 self)
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(F), a representation of SU q 2 due to Woronowicz, and several calculations with orthogonal polynomials.
Asymptotics of unitary and orthogonal matrix integrals
, 2009
"... Abstract. In this paper, we prove that in small parameter regions, arbitrary unitary matrix integrals converge in the large N limit and match their formal expansion. Secondly we give a combinatorial model for our matrix integral asymptotics and investigate examples related to free probability and th ..."
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Cited by 10 (3 self)
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Abstract. In this paper, we prove that in small parameter regions, arbitrary unitary matrix integrals converge in the large N limit and match their formal expansion. Secondly we give a combinatorial model for our matrix integral asymptotics and investigate examples related to free probability
ELA THE POSSIBLE NUMBERS OF ZEROS IN AN ORTHOGONAL MATRIX
"... Abstract. It is shown that for n 2 there is an n n indecomposable orthogonal matrix with exactly k entries equal to zero if and only if 0 k (n, 2) 2. Key words. orthogonal matrix, indecomposable matrix, zero-nonzero pattern AMS subject classi cations. 15A57, 05C50 1. Introduction. By ..."
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Abstract. It is shown that for n 2 there is an n n indecomposable orthogonal matrix with exactly k entries equal to zero if and only if 0 k (n, 2) 2. Key words. orthogonal matrix, indecomposable matrix, zero-nonzero pattern AMS subject classi cations. 15A57, 05C50 1. Introduction. By
Asymptotics of unitary and orthogonal matrix integrals
"... In this paper, we prove that in small parameter regions, arbitrary unitary matrix integrals converge in the large N limit and match their formal expansion. Secondly we give a combinatorial model for our matrix integral asymptotics and investigate examples related to free probability and the HCIZ int ..."
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In this paper, we prove that in small parameter regions, arbitrary unitary matrix integrals converge in the large N limit and match their formal expansion. Secondly we give a combinatorial model for our matrix integral asymptotics and investigate examples related to free probability and the HCIZ
Results 1 - 10
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