SOME VARIATIONAL PRINCIPLES FOR A NON LINEAR EIGENVALUE PROBLEM.

Abstract

Variational principles analogous to classical ones are exhibited for the eigenvalues of Ax - lambda 2 Bx - lambda x = 0, where A and B are compact, positive operators in a Hilbert space. Unlike the classical ones, they involve a nonquadratic form and both nonlinear and linear auxiliary conditions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1966
Accession Number
AD0642918

Entities

People

  • R. E. L. Turner

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Eigenvalues
  • Hilbert Space
  • Mathematical Analysis
  • Mathematics
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra

Technology Areas

  • Space