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Some inverse problems on Jacobi matrices [PDF]

open access: yesInverse Problems, 2004
In this paper, some existence and uniqueness results for inverse problems of Jacobi matrices are proved. These results were partially motivated by corresponding results for inverse problems for Schrödinger operators by \textit{H. Hochstadt} and \textit{B. Lieberman} [SIAM J. Appl. Math. 34, 676--680 (1978; Zbl 0418.34032)] and \textit{F. Gesztesy} and \
Shieh, Chung-tsun
openaire   +3 more sources

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 =
Giorgio Fusco, Waldyr Muniz Oliva
openaire   +1 more source

Commuting family of block Jacobi matrices [PDF]

open access: yesComputers and Mathematics With Applications, 1997
The block Jacobi matrices considered in this paper are a family of block tridiagonal matrices, which are natural extensions of a singular Jacobi matrix in the sense that they are associated with orthogonal polynomials in several variables. We present the
Xu, Y.
exaly   +2 more sources

On an inverse eigenproblem for Jacobi matrices

Advances in Computational Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniela Calvetti, Lothar Reichel
openaire   +1 more source

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.
openaire   +1 more source

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