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A numerical approach to $$2k+e$$ nonlinear equations with only $$k$$ nonlinear variables. (English) Zbl 0754.65045
The author derives a method for solving $$2k+e$$ nonlinear algebraic equations in $$2k$$ unknowns of the form $$L(x)y-b=0$$ with unknowns $$x$$ and $$y$$, where $$e$$ is a positive integer and the entries of the $$(2k+e)\times k$$ matrix $$L(x)$$ are nonlinear functions of $$x$$. The method is based on solving a linear overdetermined system and a polynomial equation of the $$k$$-th order. Some numerical tests are also presented.

##### MSC:
 65H10 Numerical computation of solutions to systems of equations 65F20 Numerical solutions to overdetermined systems, pseudoinverses
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##### References:
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