Inverse eigenvalue problem for periodic block Jacobi matrices

W. Karczewski

The search session has expired. Please query the service again.

Displaying similar documents to “Inverse eigenvalue problem for periodic block Jacobi matrices”

Slowly oscillating perturbations of periodic Jacobi operators in l²(ℕ)

Marcin Moszyński (2009)

Studia Mathematica

Similarity:

We prove that the absolutely continuous part of the periodic Jacobi operator does not change (modulo unitary equivalence) under additive perturbations by compact Jacobi operators with weights and diagonals defined in terms of the Stolz classes of slowly oscillating sequences. This result substantially generalizes many previous results, e.g., the one which can be obtained directly by the abstract trace class perturbation theorem of Kato-Rosenblum. It also generalizes several results concerning...

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

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

Numerische Mathematik

Similarity:

Some results regarding an equation of Hamilton-Jacobi type

C. Schmidt-Laine, T. K. Edarh-Bossou (1999)

Archivum Mathematicum

Similarity:

The main goal is to show that the pointwise Osserman four-dimensional pseudo-Riemannian manifolds (Lorentzian and manifolds of neutral signature $(- - + +)$ ) can be characterized as self dual (or anti-self dual) Einstein manifolds. Also, examples of pointwise Osserman manifolds which are not Osserman are discussed.

On the completely indeterminate case for block Jacobi matrices

Andrey Osipov (2017)

Concrete Operators

Similarity:

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 eigenreduction algorithm for definite matrix pairs.

K. Veselic (1993)

Numerische Mathematik

Similarity:

Convergence of numerical methods and parameter dependence of min-plus eigenvalue problems, Frenkel-Kontorova models and homogenization of Hamilton-Jacobi equations

Nicolas Bacaër (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

Using the min-plus version of the spectral radius formula, one proves: 1) that the unique eigenvalue of a min-plus eigenvalue problem depends continuously on parameters involved in the kernel defining the problem; 2) that the numerical method introduced by Chou and Griffiths to compute this eigenvalue converges. A toolbox recently developed at I.n.r.i.a. helps to illustrate these results. Frenkel-Kontorova models serve as example. The analogy with homogenization of Hamilton-Jacobi...

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

K. Veselic (1979)

Numerische Mathematik

Similarity:

Spectral transition parameters for a class of Jacobi matrices

Joanne Dombrowski, Steen Pedersen (2002)

Studia Mathematica

Similarity:

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.

Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum

Petru Cojuhari, Jan Janas (2008)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

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.

Jacobi matrices with prescribed eigenvalues and diagonal elements

Duarte, António Leal (1985-1986)

Portugaliae mathematica

Similarity: