Gradient Methods in Mathematical Programming Part 1. Review of Previous Techniques

Abstract

The report considers the problem of minimizing a function f(x), where f is a scalar function and x is an n-vector whose components are unconstrained. For this problem, three previous methods are reviewed, namely, the ordinary gradient method, the conjugate-gradient method, and the variable-metric method. A new intuitive derivation of the last two algorithms is presented.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0855929

Entities

People

  • Angelo Miele
  • H. Y. Huang
  • J. W. Cantrell

Organizations

  • Rice University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Astronautics
  • Computer Programming
  • Computers
  • Convergence
  • Digital Computers
  • Engineering
  • Equations
  • Iterations
  • Materials
  • Materials Science
  • Mathematical Programming
  • New York
  • Scalar Functions
  • Scientific Research
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Operations Research