Optimal parametrization in numerical construction of curve |
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| Authors: | EB Kuznetsov |
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| Institution: | Moscow Aviation Institute, 4, Volokolamskoe Shosse, 125993 Moscow, Russian Federation |
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| Abstract: | The application of the optimal parametric continuation method to constructing a solution set curve for a system of nonlinear algebraic or transcendental equations depending on a parameter is considered. There are discussed two approaches to solving this problem—the use of iterative methods and reduction to an initial value problem for a system of ordinary differential equations. The algorithm suggested in this paper can also be used for finding an appropriate initial approximation when solving a system of nonlinear algebraic or transcendental equations not depending on a parameter by an iterative method. |
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| Keywords: | Curve construction Optimal parametrization Iterative methods Nonlinear algebraic Transcendental equations |
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