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A class of algorithms for the determination of a solution of a system of nonlinear equations

  • Nonlinear And Stochastic Programming
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Book cover Optimization Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 7))

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References

  1. C.G. BROYDEN, J.E. DENNIS Jr., J.J. MORÉ, On the Local and Superlinear Convergence of Quasi-Newton Methods; J.Inst.Maths Applics 12 (1973) 223–245

    Google Scholar 

  2. V.F. DEM'YANOV, K Razyskaniju Sedlovych Toček (Russian); Vestnik Leningradskogo Universiteta 22 (1967) no.19, 25–34

    Google Scholar 

  3. V.F. DEM'YANOV, A.B. PEVNYI, Numerical Methods for Finding Saddle Points; USSR Comp.Math.math.Phys. 12,5 (1972) 11–52

    Google Scholar 

  4. J.E. DENNIS Jr., Some Computational Techniques for the Nonlinear Least Squares Problem; published in: Numerical Solution of Systems of Nonlinear Algebraic Equations (edts. G.D. Byrne, C.A. Hall), Academic Press, New York-London (1973) 157–183

    Google Scholar 

  5. P. DEUFLHARD, A Modified Newton Method for the Solution of Illconditioned Systems of Nonlinear Equations with Application to Multiple Shooting; Num.Math. 22 (1974) 289–315

    Google Scholar 

  6. B.D.KIEKEBUSCH-MÜLLER, Eine Klasse von Verfahren zur Bestimmung von stationären Punkten, insbesondere Sattelpunkten; Würzburg (1976) (Thesis)

    Google Scholar 

  7. J.M. ORTEGA, W.C. RHEINBOLDT, Iterative Solutions of Nonlinear Equations; Academic Press, New York-London (1970)

    Google Scholar 

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J. Stoer

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© 1978 Springer-Verlag

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Kiekebusch-Müller, B.D. (1978). A class of algorithms for the determination of a solution of a system of nonlinear equations. In: Stoer, J. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006510

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  • DOI: https://doi.org/10.1007/BFb0006510

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08708-3

  • Online ISBN: 978-3-540-35890-9

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