Globalization of Newton's method for solving non-linear equations

J. L. Nazareth, Liqun Qi

Research output: Journal article publicationJournal articleAcademic researchpeer-review

12 Citations (Scopus)

Abstract

The Lagrangian globalization (LG) method for non-linear equation-solving proposed in [10] is developed through theoretical analysis, the formulation of a particular LG algorithm, and a numerical illustration. New merit functions (termed detour potentials) for non-linear equation-solving, which broaden the LG concept, are also defined.
Original languageEnglish
Pages (from-to)239-249
Number of pages11
JournalNumerical Linear Algebra with Applications
Volume3
Issue number3
DOIs
Publication statusPublished - 1 Jan 1996
Externally publishedYes

Keywords

  • Detour potentials
  • Global convergence
  • Homotopy methods
  • Lagrangian globalization
  • Lagrangians
  • Non-linear equations
  • Non-linear programming

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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