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Nonlinear Algebraic or Transcendental Equations with a Parameter

  • V. I. Shalashilin
  • E. B. Kuznetsov
Chapter
  • 172 Downloads

Abstract

Solutions of many typical mathematical problems are often given by sets depending continuously on one parameter and differentiable with respect to this parameter. A continuous smooth curve in a multidimensional space is the simplest example of such a set. For instance, it can be a solution of a system of nonlinear equations with parameter. Other examples are integral curve of Cauchy problem for a system of ordinary differential equations (ODE), interpolating or approximating curve, etc.

Keywords

Nonlinear Equation Ordinary Differential Equation Continuation Method Raphson Method Continuation Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • V. I. Shalashilin
    • 1
  • E. B. Kuznetsov
    • 1
  1. 1.Moscow Aviation InstituteMoscowRussia

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