A Functional Equation which Characterizes Polynomial Operators with Applications to Uniqueness.

Abstract

A functional equation related to Taylor's theorem in normed spaces is considered, and its most general solutions are characterized. As a byproduct, some simple local and global uniqueness results for solutions of polynomial operator equations are obtained and illustrated by problems for generalized inverses. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 29, 1971
Accession Number
AD0743793

Entities

People

  • M. Z. Nashed

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Equations
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Graph Algorithms and Convex Optimization.
  • Theoretical Analysis.

Technology Areas

  • Space