The Numerically Stable Reconstruction of a Jacobi Matrix from Spectral Data.

Abstract

A stable algorithm is given for the construction of a symmetric tridiagonal matrix of order n from its eigenvalues and the eigenvalues of its upper left principal submatrix of order n - 1. The algorithm might be of help in the approximate solution of inverse eigenvalue problems for Sturm-Liouville equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1977
Accession Number
ADA038960

Entities

People

  • C. De Boor
  • G. H. Golub

Organizations

  • University of Wisconsin–Madison

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Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Computational Processes
  • Computations
  • Construction
  • Continents
  • Contrast
  • Eigenvalues
  • Equations
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Monotone Functions
  • North Carolina
  • Numerical Analysis
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  • Mathematics

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  • Linear Algebra