New efficient derivative free family of seventh-order methods for solving systems of nonlinear equations

被引：0
作者：
Mona Narang
Saurabh Bhatia
Vinay Kanwar
机构：
[1] DAV College,
[2] University Institute of Engineering and Technology,undefined
[3] Panjab University,undefined
来源：
Numerical Algorithms | 2017年 / 76卷
关键词：
Systems of nonlinear equations; Order of convergence; Steffensen’s method; Higher order methods; Computational efficiency;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present a three-step two-parameter family of derivative free methods with seventh-order of convergence for solving systems of nonlinear equations numerically. The proposed methods require evaluation of two central divided differences and inversion of only one matrix per iteration. As a result, the proposed family is more efficient as compared with the existing methods of same order. Numerical examples show that the proposed methods produce approximations of greater accuracy and remarkably reduce the computational time for solving systems of nonlinear equations.
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页码：283 / 307
页数：24
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