Greedy Type Algorithms in Banach Spaces and Applications

Abstract

We continue to study efficiency of approximation and convergence of greedy type algorithms in uniformly smooth Banach spaces. Two greedy type approximation methods the Weak Chebyshev Greedy Algorithm (WCGA) and the Weak Relaxed Greedy Algorithm (WRGA) have been introduced and studied in. These methods (WCGA and WRGA) are very general approximation methods that work well in an arbitrary uniformly smooth Banach space X for any dictionary D. It turned out that these general approximation methods are also very good for specific dictionaries.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2002
Accession Number
ADA640660

Entities

People

  • V. N. Temlyakov

Organizations

  • University of South Carolina

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Banach Space
  • Dictionaries
  • Functional Analysis
  • Information Operations
  • Mathematical Analysis
  • Mathematics
  • South Carolina

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Organizational Process Management (OPM).

Technology Areas

  • Space