The Construction of Jacobi and Periodic Jacobi Matrices with Prescribed Spectra.

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-Louiville equations and Hill's equation. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1979
Accession Number
ADA070214

Entities

People

  • Warren E. Ferguson Jr

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algebra
  • Algorithms
  • Computations
  • Construction
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Ice
  • Mathematical Analysis
  • Mathematics
  • Matrix Theory
  • Military Research
  • New York
  • North Carolina
  • Spectra
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra