A Non-Orthogonal Fourier Expansion for Conic Decomposition.

Abstract

The problem considered is that of constructing the decomposition of a vector in a Hilbert space into two orthogonal components; one (the 'projection') in a given cone, and the other in the polar cone. The projection Z* can be expressed as a Fourier-type expansion. An algorithm for constructing this expansion is given, and shown to converge to Z*. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1980
Accession Number
ADA092948

Entities

People

  • A. Ben-tal
  • J. Barzilai

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Algebra
  • Algorithms
  • Convex Sets
  • Decomposition
  • Evolutionary Algorithms
  • Fourier Series
  • Functional Analysis
  • Geometry
  • Hilbert Space
  • Inequalities
  • Mathematical Models
  • Mathematics
  • New York
  • Optimization
  • Sequences
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space