Strong Convergence of Contraction Semigroups and of Iterative Methods for Accretive Operators in Banach Spaces.

Abstract

This paper deals with two different but related topics: the behavior of evolution systems for large time, and finding zeros for certain operators. Pazy developed tools to analyze the behavior of some evolution systems. Here these tools can be used in a more general setting and therefore the results can be applied to a larger set of problems. Apply the same tools then to problems where time has been discretized. This gives iterative schemes for finding zeros for a large class of operators appearing both in physics and in convex programming. In particular detailed information is obtained on the rates of these iteration schemes.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1978
Accession Number
ADA060718

Entities

People

  • Olavi Nevanlinna
  • Simeon Reich

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Approximation (Mathematics)
  • Banach Space
  • California
  • Classification
  • Contracts
  • Convergence
  • Convex Programming
  • Convex Sets
  • Guarantees
  • Hilbert Space
  • Mathematics
  • North Carolina
  • Personal Information Managers
  • Sequences
  • Theorems
  • United States
  • Universities

Fields of Study

  • Mathematics

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  • Calculus or Mathematical Analysis
  • Linear Algebra
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