Jacobi matrices on trees

Agnieszka M. Kazun; Ryszard Szwarc

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Displaying similar documents to “Jacobi matrices on trees”

On the completely indeterminate case for block Jacobi matrices

Andrey Osipov (2017)

Concrete Operators

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We consider the infinite Jacobi block matrices in the completely indeterminate case, i. e. such that the deficiency indices of the corresponding Jacobi operators are maximal. For such matrices, some criteria of complete indeterminacy are established. These criteria are similar to several known criteria of indeterminacy of the Hamburger moment problem in terms of the corresponding scalar Jacobi matrices and the related systems of orthogonal polynomials.

A Jacobi Type Method for Complex Symmetric Matrices.

G. Loizou, P.J. Anderson (1975/76)

Numerische Mathematik

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Some Convergent Jacobi-like Procedures for Diagonalising J-Symmetric Matrices.

K. Veselic (1976/1977)

Numerische Mathematik

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On a Class of Jacobi-Like Procedures for Diagonalising Arbitrary Real Matrices.

K. Veselic (1979)

Numerische Mathematik

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Spectral transition parameters for a class of Jacobi matrices

Joanne Dombrowski, Steen Pedersen (2002)

Studia Mathematica

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This paper initially considers a class of unbounded Jacobi matrices defined by an increasing sequence of repeated weights. Spectral parameters are then introduced in various ways to allow the authors to study the nature and location of the spectrum as a function of these parameters.

Handbook Series Linear Algebra. The Jacobi Method for Real Symmetric Matrices.

H. RUTISHAUSER (1966/67)

Numerische Mathematik

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A Convergent Jacobi Method for Solving the Eigenproblem of Arbitrary Real Matrices.

K. Veselic (1975/76)

Numerische Mathematik

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On the Convergence of the Classical Jacobi Method for Real Symmetric Matrices with Non-Distinct Eigenvalues.

H.P.M. van KEMPEN (1966/67)

Numerische Mathematik

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A Quadratically Convergent Jacobi-Like Method for Real Matrices With Complex Eigenvalues.

K. Veselic, H.J. Wenzel (1979)

Numerische Mathematik

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Deducing Properties of Trees From Their Matula Numbers

Ivan Gutman, Yeong-Nan Yeh (1993)

Publications de l'Institut Mathématique

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On the normal disconnection of a tree

A. Kośliński (1987)

Applicationes Mathematicae

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Relations Between Condition Numbers and the Convergence of the Jacobi Method for Real Positive Definite Matrices.

M. Arioli, F. Romani (1985)

Numerische Mathematik

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Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum

Petru Cojuhari, Jan Janas (2008)

Bulletin of the Polish Academy of Sciences. Mathematics

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Sufficient conditions for the absence of absolutely continuous spectrum for unbounded Jacobi operators are given. A class of unbounded Jacobi operators with purely singular continuous spectrum is constructed as well.

Spectral Theory for Slowly Oscillating Potentials I. Jacobi Matrices.

Günter Stolz (1994)

Manuscripta mathematica

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Selfadjoint operator matrices with finite rows

Jan Janas, Jan Stochel (1997)

Annales Polonici Mathematici

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A generalization of the Carleman criterion for selfadjointness of Jacobi matrices to the case of symmetric matrices with finite rows is established. In particular, a new proof of the Carleman criterion is found. An extension of Jørgensen's criterion for selfadjointness of symmetric operators with "almost invariant" subspaces is obtained. Some applications to hyponormal weighted shifts are given.