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A New Cubic Convergence Method for Solving Systems of Nonlinear Equations

  • Liu, Zhongli
Numerical solutions for systems of nonlinear equations have always appealed greatly to people in scientific computation fields. In this paper, a new Newton-type method with third-order convergence for solving systems of nonlinear equations is proposed. Its cubic convergence and error equation are proved theoretically, and its application to systems of nonlinear equations and some boundary-value problems of nonlinear ODEs are demonstrated as well in the numerical examples to show the efficiency and feasibility of the iterative method.
Select Volume / Issue:
Year:
2015
Type of Publication:
Article
Keywords:
Systems of Nonlinear Equations; Newtons Method; Cubic Convergence
Journal:
IJASM
Volume:
2
Number:
5
Pages:
182-185
Month:
September
Hits: 1112

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