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A Hybrid Newton-GMRES Method for Solving Nonlinear Equations

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Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

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Abstract

A subspace linesearch strategy for the globalization of Newton-GMRES method is proposed. The main feature of our proposal is the simple and inexpensive way we determine descent directions in the low-dimensional subspaces generated by GMRES. Global and local quadratic convergence is established under standard assumptions.

This work was partially supported by Murst Cofin98 ”Metodologie numeriche avanzate per il calcolo scientifico”, CNR “Progetto coordinato sistemi di calcolo di grandi dimensioni e calcolo parallelo▸, Rome, Italy

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References

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Author information

Authors and Affiliations

  1. Dipartimento di Energetica “S. Stecco”, via C. Lombroso 6/17, 50134, Firenze, Italia

    Stefania Bellavia, Maria Macconi & Benedetta Morini

Authors
  1. Stefania Bellavia
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  2. Maria Macconi
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  3. Benedetta Morini
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Rousse, 7000, Rousse, Bulgaria

    Lubin Vulkov  & Plamen Yalamov  & 

  2. UNI-C,Danish Computing Center for Research and Education, DTU,Building 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2001 Springer-Verlag Berlin Heidelberg

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Bellavia, S., Macconi, M., Morini, B. (2001). A Hybrid Newton-GMRES Method for Solving Nonlinear Equations. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_9

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  • DOI: https://doi.org/10.1007/3-540-45262-1_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

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