World Academy of Science, Engineering and Technology
Published March 25, 2013 | Version 1301
Journal article Open

Automatic Iterative Methods for the Multivariate Solution of Nonlinear Algebraic Equations

Description

Most real world systems express themselves formally as a set of nonlinear algebraic equations. As applications grow, the size and complexity of these equations also increase. In this work, we highlight the key concepts in using the homotopy analysis method as a methodology used to construct efficient iteration formulas for nonlinear equations solving. The proposed method is experimentally characterized according to a set of determined parameters which affect the systems. The experimental results show the potential and limitations of the new method and imply directions for future work.

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References

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