AN APPLICATION OF THE GENERAL THEORY OF APPROXIMATION METHODS TO THE STUDY OF THE PROBLEM OF DETERMINATION OF PROPER VALUES AND PROPER VECTORS.

Abstract

The proper (or characteristic) value-vector problem for a linear operator is formulated as a nonlinear equation in the product of a Banach space and its scalar field. The solution of this equation by Newton's method is considered, and the theorem of L. V. Kantorovic is applied to obtain sufficient conditions for convergence and error estimates. The problem of finite - dimensional approximation of an operator on a space of infinite dimension is also considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0642905

Entities

People

  • E. A. Troitskaya

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Convergence
  • Equations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra

Technology Areas

  • Space