THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
Root finding techniques that work
Aaron Melman

Abstract

Several general techniques are described to incorporate the specific structure or properties of a nonlinear equation into a method for solving it. This can mean the construction of a method specifically tailored to the equation, or the transformation of the equation into an equivalent one for which an existing method is well-suited. The techniques are illustrated with the help of several case studies taken from the literature.

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Keywords: Nonlinear equation; transformation; multiplier; approximation.

Pages:  38$-$52     

Volume  XXV ,  Issue  1 ,  2022