The gradient method for non-differentiabl operators product Hilbert spaces and applications to elliptic systes of quasilinea differential euations

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9 Citations (Scopus)

Abstract

The gradient method is considered in Hilbert spaces. Ear lier results on linear convergence are extended to systems of equations with certain non-differentiable operators. The method includes the ap proximate solution of elliptic systems of quasilinear boundary valu problems.

Original languageEnglish
Pages (from-to)225-237
Number of pages13
JournalJournal of Applied Analysis
Volume3
Issue number2
Publication statusPublished - Dec 1997

Fingerprint

Quasilinear Problems
Linear Convergence
Gradient methods
Hilbert spaces
Gradient Method
Elliptic Systems
Boundary Problem
System of equations
Mathematical operators
Hilbert space
Operator
Gradient

Keywords

  • Elliptic sys tems of quasilinear boundary value problems
  • Gradient method
  • Systems of operator equations

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematical Physics
  • Statistics, Probability and Uncertainty
  • Computational Theory and Mathematics

Cite this

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title = "The gradient method for non-differentiabl operators product Hilbert spaces and applications to elliptic systes of quasilinea differential euations",
abstract = "The gradient method is considered in Hilbert spaces. Ear lier results on linear convergence are extended to systems of equations with certain non-differentiable operators. The method includes the ap proximate solution of elliptic systems of quasilinear boundary valu problems.",
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KW - Gradient method

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