Results 231 to 240 of about 511,937 (269)

Jacobi matrices and transversality

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987
SynopsisThe paper deals with smooth nonlinear ODE systems in ℝn, ẋ = f(x), such that the derivative f′(x) has a matrix representation of Jacobi type (not necessarily symmetric) with positive off diagonal entries. A discrete functional is introduced and is discovered to be nonincreasing along the solutions of the associated linear variational system ẏ =
Waldyr M. Oliva, Giorgio Fusco
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Generalized inverse spectral problem for pseudo-Jacobi matrices with mixed eigendata

Inverse Problems in Science and Engineering, 2018
In this paper, we investigate a generalized inverse eigenproblem for pseudo-Jacobi matrices with mixed eigendata. These matrices appear in non-Hermitian Quantum Mechanics and extend the well-known concept of Jacobi matrices.
Wei-Ru Xu, N. Bebiano, Guoliang Chen
semanticscholar   +1 more source

Green Matrix Estimates of Block Jacobi Matrices I: Unbounded Gap in the Essential Spectrum

Integral equations and operator theory, 2018
This work deals with decay bounds for Green matrices and generalized eigenvectors of block Jacobi matrices when the real part of the spectral parameter lies in an infinite gap of the operator’s essential spectrum. We consider the cases of commutative and
J. Janas, S. Naboko, Luis O. Silva
semanticscholar   +1 more source

Singular-unbounded random Jacobi matrices

Journal of Mathematics and Physics, 2019
There have been several recent proofs of one-dimensional Anderson localization based on positive Lyapunov exponent that hold for bounded potentials. We provide a Lyapunov exponent based proof for unbounded potentials, simultaneously treating the singular
Nishant Rangamani
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Jacobi Sum Matrices

The American Mathematical Monthly, 2012
In this article we identify several beautiful properties of Jacobi sums that become evident when these numbers are organized as a matrix and studied via the tools of linear algebra.
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A CLT for the characteristic polynomial of random Jacobi matrices, and the G $$\beta $$ β E

Probability theory and related fields, 2023
F. Augeri, Raphael Butez, O. Zeitouni
semanticscholar   +1 more source

On the Instability of the Essential Spectrum for Block Jacobi Matrices

Constructive approximation, 2017
We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matrices from certain classes to have a discrete spectrum on a half-axis of a ...
S. Kupin, S. Naboko
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On an inverse eigenproblem for Jacobi matrices

Advances in Computational Mathematics, 1999
Recently Xu [13] proposed a new algorithm for computing a Jacobi matrix of order 2n with a given n×n leading principal submatrix and with 2n prescribed eigenvalues that satisfy certain conditions. We compare this algorithm to a scheme proposed by Boley and Golub [2], and discuss a generalization that allows the conditions on the prescribed eigenvalues ...
Daniela Calvetti, Lothar Reichel
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Spectra of the constant Jacobi matrices on Banach sequence spaces

RACSAM, 2020
S. El-Shabrawy, Asmaa M. Shindy
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The Jacobi method for real symmetric matrices

Numerische Mathematik, 1966
As is well known, a real symmetric matrix can be transformed iteratively into diagonal form through a sequence of appropriately chosen elementary orthogonal transformations (in the following called Jacobi rotations): $${A_k} \to {A_{k + 1}} = U_k^T{A_k}{U_k}{\text{ (}}{A_0}{\text{ = given matrix),}}$$ where U k = U k(p,q, φ) is an orthogonal ...
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