The construction of Jacobi and periodic Jacobi matrices with prescribed spectra-Reference-Cited by-同舟云学术

The construction of Jacobi and periodic Jacobi matrices with prescribed spectra

Published:1980 Issue:152 Volume:35 Page:1203-1220
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Ferguson Warren E.

Abstract

The spectral properties of Jacobi and periodic Jacobi matrices are analyzed and algorithms for the construction of Jacobi and periodic Jacobi matrices with prescribed spectra are presented. Numerical evidence demonstrates that these algorithms are of practical utility. These algorithms have been used in studies of the periodic Toda lattice, and might also be used in studies of inverse eigenvalue problems for Sturm-Liouville equations and Hill’s equation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1980-35-152/S0025-5718-1980-0583498-3/S0025-5718-1980-0583498-3.pdf

Reference18 articles.

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2. Inverse eigenvalue problems for band matrices;Boley, D.,1978

3. The matrix inverse eigenvalue problem for periodic Jacobi matrices;Boley, D. L.,1978

4. C. DE BOOR & G. GOLUB, The Numerically Stable Reconstruction of a Jacobi Matrix from Spectral Data, MRC-TSR-1727, Mathematics Research Center, Univ. of Wisconsin, Madison, Wis., 1977.

5. W. FERGUSON, H. FLASCHKA & D. W. McLAUGHLIN, "Nonlinear normal modes for the periodic Toda lattice." (Preprint.)

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