A METHOD FOR ORDERING FUNCTIONAL VALUES OF MONOTONIC FUNCTIONS DEFINED ON ORDERED N-TUPLES OF INTEGERS.

Abstract

A general procedure is discussed for ordering the values of a function of ordered n-tuples of integers when the given function is increasing in each variable. Such functions and the need to order their values arise, for example, when differential eigenvalue problems are solved by separation of variables. In this case the ordered functional values are the ordered eigenvalues of the problem. There is little computation of values which are not used; and, more important, the ordered sequence obtained is correct, i.e., the sequence always yields the values properly ordered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1965
Accession Number
AD0472220

Entities

People

  • V. G. Sigillito

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Computations
  • Differential Equations
  • Eigenvalues
  • Mathematical Analysis
  • Mathematics
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematical Modeling and Probability Theory.