Continued fractions and periodic Jacobi matrices

DOI10.1016/0024-3795(92)90008-XzbMath0760.65036WikidataQ127673556 ScholiaQ127673556MaRDI QIDQ1183152

Stephen A. Andrea, Thomas G. Berry

Publication date: 28 June 1992

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmsexistenceinverse eigenvalue problemcontinued fraction expansionperiodic Jacobi matricesreconstructing the matrix from spectral data

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Continued fractions and generalizations (11J70)

Related Items (13)

A reduction algorithm for reconstructing periodic Jacobi matrices in Minkowski spaces ⋮ Inverse spectral problems for structured pseudo-symmetric matrices ⋮ The reconstruction of a special kind of periodic Jacobi matrices ⋮ Direct and inverse spectral problems for a class of non-self-adjoint periodic tridiagonal matrices ⋮ An inverse eigenvalue problem for modified pseudo-Jacobi matrices ⋮ Location of the eigenvalues of weighted graphs with a cut edge ⋮ An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces ⋮ The inverse eigenvalue problem for Hermitian matrices whose graphs are cycles ⋮ On the inverse eigenvalue problem for periodic Jacobi matrices ⋮ Generalized inverse eigenvalue problems for augmented periodic Jacobi matrices ⋮ Inverse eigenvalue problem for quasi-tridiagonal matrices ⋮ On periodicity of continued fractions in hyperelliptic function fields ⋮ The new inverse eigenvalue problems for periodic and generalized periodic Jacobi matrices from their extremal spectral data

Cites Work

• On periodicity of continued fractions in hyperelliptic function fields
• Nonlinear equations and elliptic curves
• The spectrum of difference operators and algebraic curves
• The spectrum of Jacobi matrices
• A survey of matrix inverse eigenvalue problems
• The Construction of Jacobi and Periodic Jacobi Matrices With Prescribed Spectra
• Multiples of Points on Elliptic Curves and Continued Fractions
• Unnamed Item

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