EIGENVALUES AND FUNCTIONAL EQUATIONS

Abstract

The purpose of this paper was to illustrate how the techniques of the theory of dynamic programming may be used to convert a number of eigenvalue problems, where one is interested only in maximum or minimum values, into problems involving recurrence relations. Treated Jacobi matrices, some special types of quadratic forms possessing certain features of regularity, and finally Sturm-Liouville problems. The method discussed is not only useful for computational purposes, but provides a method for studying the analytic dependence of the maximum and minimum eigenvalues upon the analytic structure of the matrix.

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Document Details

Document Type
Technical Report
Publication Date
Dec 28, 1955
Accession Number
AD0604976

Entities

People

  • Richard E. Bellman

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Computer Programming
  • Dynamic Programming
  • Eigenvalues
  • Equations
  • Hard Copy
  • Integrals
  • Iterations
  • Mathematics
  • Microfiche
  • Sequences
  • Standards

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research