An iterative method for solving relaxed one-sided Lipschitz algebraic inclusions

Wolf Jürgen Beyn, Janosch Rieger

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2 Citations (Scopus)


An existing solvability result for relaxed one-sided Lipschitz algebraic inclusions is improved. This enhanced solvability result allows the design of a robust iterative method for the numerical solution of the algebraic inclusion. Sharp error estimates, illustrative analytic examples, and a numerical example are provided for this method.

Original languageEnglish
Pages (from-to)154-172
Number of pages19
JournalJournal of Optimization Theory and Applications
Issue number1
Publication statusPublished - Jan 2015
Externally publishedYes


  • Algebraic inclusions
  • Numerical method
  • Relaxed one-sided Lipschitz property
  • Set-valued analysis

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