Convergent Techniques in _ 0 Nonlinear Newton-Krylov _ '

  title={Convergent Techniques in _ 0 Nonlinear Newton-Krylov _ '},
  author={Peter and N. and Brown}
  • Peter, N., Brown
This paperpresentssome convergencetheoryfornonlinearKrylovsubspacemethods. The basicideaofthesemethods, whichhave been describedby theauthorsin an earlier paper,is touse variantsofNewton'siteration inconjunctionwitha Krylovsubspacemethod forsolving theJacobianlinearsystems.Thesemethods arevariantsofinexactNewton methods where the approximateNewton direction istakenfrom a subspaceofsmalldimension.The main focusof thispaperisto analyzethesemethods when theyarecombined withglobalstrategies such as… CONTINUE READING

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A family of trust-region-based algorithms for unconstrained minimization with strong global convergence properties

  • G. A. Shultz, R. B. Schnabel, R. H. Byrd
  • SIAM J. Numer. Anal., 22
  • 1985
Highly Influential
8 Excerpts

The use of iterative Hnear equation solvers in codes for large systems of stiff IVPs for ODEs

  • T. F. Chan, K. R. Jackson
  • SIAM J. Sol. Stat. Comp.,7
  • 1986
Highly Influential
4 Excerpts

A hybrid method for nonlinear equations

  • M.J.D. PoweU
  • P. P_binowitz ed., Numerical Methods for…
  • 1970
Highly Influential
3 Excerpts

Lecture notes

  • H. F. Walker
  • CS 7_5, Yale University, Computer Science Dept
  • 1989
Highly Influential
3 Excerpts

Numerical Optimization in Hilbert Spaces Using Inezact Function and Gradient Evaluations

  • R. G. Carter
  • Technical Report, ICASE, Hampton VA
  • 1989
1 Excerpt

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