Results 131 to 140 of about 3,155 (225)
Spectral Properties of Block Jacobi Matrices [PDF]
Constructive Approximation, 2018 We study the spectral properties of bounded and unbounded Jacobi matrices whose entries are bounded operators on a complex Hilbert space. In particular, we formulate conditions assuring that the spectrum of the studied operators is continuous. Uniform asymptotics of generalised eigenvectors and conditions implying complete indeterminacy are also ...
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Determinacy of Bounded Complex Perturbations of Jacobi Matrices [PDF]
, 2000 We consider complex Jacobi matrices G which can be decomposed in the form G=J+C, where J is a real Jacobi matrix and C is a complex Jacobi matrix whose entries are uniformly bounded.
Smirnova, Mirta Castro
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Approximation of eigenvalues of some unbounded self-adjoint discrete Jacobi matrices by eigenvalues of finite submatrices [PDF]
Opuscula Mathematica, 2007 We investigate the problem of approximation of eigenvalues of some self-adjoint operator in the Hilbert space \(l^2(\mathbb{N})\) by eigenvalues of suitably chosen principal finite submatrices of an infinite Jacobi matrix that defines the operator ...
Maria Malejki
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Spectral Theory for Jacobi Matrices [PDF]
, 2009 In this talk I will discuss tri-diagonal infinite (Jacobi) matrices and their connection to orthogonal polynomials on the real line.
Zinchenko, Maxim
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A Jacobi Generalized Orthogonal Joint Diagonalization Algorithm for Joint Blind Source Separation
IEEE Access, 2018 Joint blind source separation (J-BSS) has emerged as a data-driven technique for multi-set data fusion applications. In this paper, we propose a Jacobi generalized orthogonal joint diagonalization (GOJD) algorithm for J-BSS of multiset signals.
Xiao-Feng Gong +3 more
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, 1967 Let J2 be the set of nx n complex matrices A=(aij) such that ajJ1j2jaj2j3ajrj1= 0 for all r such that 3< r< n and all distinct j1,j2,..., jr. Then many properties of this set are given, which may be regarded as generalizations of the properties of the ...
Maybee, John, S.
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Unbounded Jacobi matrices at critical coupling
Journal of Approximation Theory, 2007 The main goal of the present paper is to determine the spectral type and solution asymptotics for the Jacobi matrix \(J=J(\{a_n\},\{b_n\})\) with \(a_n=n^\alpha\), \(b_{2n+1}=b(2n+1)^\alpha\), \(b_{2n}=0\), where \(b\) is a positive constant.
David Damanik, Serguei Naboko
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Large a quasi-Jacobi form for J-normal matrices and inverse eigenvalue problems [PDF]
, 2012 A quasi-Jacobi form for J-unitarily diagonalizable J-normal matrices is given, extending a result for normal matrices due to Malamud. The inverse eigenvalue problem for J-normal matrices satisfying certain prescribed spectral conditions is investigated ...
da Providência, J. +5 more
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On positive Jacobi matrices with compact inverses
Journal of Approximation TheoryWe consider positive Jacobi matrices $J$ with compact inverses and consequently with purely discrete spectra. A number of properties of the corresponding sequence of orthogonal polynomials is studied including the convergence of their zeros, the vague convergence of the zero counting measures and of the Christoffel--Darboux kernels on the diagonal ...
Pavel Stovícek, Grzegorz Swiderski
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Chain Sequences, Orthogonal Polynomials, and Jacobi Matrices [PDF]
, 1998 Chain sequences are positive sequences {an} of the forman=gn(1−gn−1) for a nonnegative sequence {gn}. This concept was introduced by Wall in connection with continued fractions. In his monograph on orthogonal polynomials, Chihara conjectured that ifan⩾14
Szwarc, Ryszard
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