On Interpolation and Integration in Finite-Dimensional Spaces of Bounded Functions

Abstract

We observe that, under very mild conditions, an n-dimensional space of functions (with a finite n) admits numerically stable n-point interpolation and integration formulae. The proof relies entirely on linear algebra, and is virtually independent of the domain and of the functions to be interpolated.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 09, 2005
Accession Number
ADA458904

Entities

People

  • Mark Tygert
  • Per-gunnar Martinsson
  • Vladimir Rokhlin, Jr.

Organizations

  • Yale University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Complex Numbers
  • Computer Science
  • Floating Point Operations
  • Information Operations
  • Interpolation
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Numbers
  • Numerical Analysis
  • Observation
  • Real Numbers

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Operations Research

Technology Areas

  • Space