Nonlinear Algebraic or Transcendental Equations with a Parameter
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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.
KeywordsNonlinear Equation Ordinary Differential Equation Continuation Method Raphson Method Continuation Parameter
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