Convergence Results for Some Extensions of the Frank-Wolfe Method,

Abstract

The convergence properties of some natural extensions of the Frank-Wolfe algorithm are discussed. When the gradient is only known approximately, but the approximation can be improved, a convergence proof is obtained. When the objective function is not differentiable the method may not converge, as is demonstrated. However, some further conditions on the limit points, which guarantee optimality, are derived. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1971
Accession Number
AD0720347

Entities

People

  • William W. Hogan

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Convergence

Readers

  • Linear Algebra
  • Statistical inference.