Smoothing and Approximation of Multivariate Functions.

Abstract

The goal of the research project was to proceed as far as possible in the study of a certain class of practical approximation problems. Namely, the problem is to reduce the complexity of multivariate functions by representing them precisely or approximately by combinations of univariate functions. A prototype problem is that of finding a best approximation to a function of two variables, F(x,Y), by a sum g(x) + H(y). The prototype problem is thoroughly understood in the case that the functions involved are continuous and an approximation in the uniform sense is needed.

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Document Details

Document Type
Technical Report
Publication Date
Oct 31, 1979
Accession Number
ADA078640

Entities

People

  • E. W. Cheney

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Algebra
  • Algorithms
  • Applied Mathematics
  • Boundary Value Problems
  • Chebyshev Approximations
  • Convex Sets
  • Equations
  • Integral Equations
  • Kernel Functions
  • Linear Algebra
  • Mathematics
  • Military Research
  • New York
  • Numerical Analysis
  • Theorems
  • Universities
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
  • Statistical inference.