GRADIENT PROJECTION IN HILBERT SPACE,

Abstract

This note embroiders two simple ideas. The first is a natural generalization of constructive tech niques employed by Kantorovich and Altman for the minimization of quadratic functionals defined on a real Hilbert space H. The extension below is for the minimization of a twice differentiable functional defined on a closed linear manifold in H. Such an extension may appear superfluous because functionals arising in applications are often not even oncerentiable. However, sometimes we can approximate well behaved non differentiable functionals by a differentiable functional. This is the second idea. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0412410

Entities

People

  • A.a. Goldstein

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Hilbert Space

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Operations Research

Technology Areas

  • Space