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Continuation and Bifurcations: Numerical Techniques and Applications pp 247–259Cite as

A Newton-Like Method for Simple Bifurcation Problems with Application to Large Sparse Systems

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Part of the book series: NATO ASI Series ((ASIC,volume 313))

Abstract

A special extended system is introduced for simple bifurcation problems. The block structure of this system allows us to approximate its nonsingular solutions with a simplified Newton-like method which is related to the modifications of Newton’s method for the singular problems. Rank-1 corrections are discussed for large sparse problems to reduce the computational cost.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Marburg, D-3550, Marburg/Lahn, Germany

    Z. Mei

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  1. Z. Mei
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Katholieke Universiteit Leuven, Leuven, Belgium

    Dirk Roose

  2. Avery STDE, Turnhout, Belgium

    Bart De Dier

  3. School of Mathematical Sciences, University of Bath, Bath, UK

    Alastair Spence

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© 1990 Kluwer Academic Publishers

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Mei, Z. (1990). A Newton-Like Method for Simple Bifurcation Problems with Application to Large Sparse Systems. In: Roose, D., Dier, B.D., Spence, A. (eds) Continuation and Bifurcations: Numerical Techniques and Applications. NATO ASI Series, vol 313. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0659-4_16

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  • DOI: https://doi.org/10.1007/978-94-009-0659-4_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6781-2

  • Online ISBN: 978-94-009-0659-4

  • eBook Packages: Springer Book Archive

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