A Sequence of Linear Polynomial Operators and Their Approximation-Theoretic Properties.

Abstract

The authors construct a rank diminishing algorithm for matrices and adapt it for application to Lagrange interpolation polynomials (L sub n0) (f;x) of degree = or < (n-1). In r steps the authors arrive at the polynomials (L sub nr) (f;x) of degree (n-r-1), which share many approximation theoretic properties with Lagrange interpolation polynomials. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1971
Accession Number
AD0725090

Entities

People

  • Aashish Sharma
  • T. S. Motzkin

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Interpolation
  • Mathematics
  • Polynomials

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.