ON STEEPEST DESCENT

Abstract

This paper continues studies concerning iterative methods of driving the gradient to zero (A. A. Goldstein. Minimizing functionals on Hilbert space. Computer methods in optimization problems. New York, Academic Press, 1964, p. 159-165). Those studies were concerned with functions which were twice differentiable; in this paper only first derivatives will be assumed. Other results included are a fixed point theorem for 'gradient' operators and a simple proof of the classical method of steepest descent.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1965
Accession Number
AD0613588

Entities

People

  • A. A. Goldstein

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Continuity
  • Functional Analysis
  • Geometry
  • Hilbert Space
  • Identities
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Point Theorem
  • Scientific Research
  • Sequences
  • Sizes (Dimensions)
  • Topology

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space