A novel derivative free algorithm with seventh order convergence for solving systems of nonlinear equations

作者：Sharma Janak Raj^*; Arora Himani

来源：Numerical Algorithms, 2014, 67(4): 917-933.

DOI：10.1007/s11075-014-9832-1

• Systems of nonlinear equations
• Derivative-free methods
• Order of convergence
• Computational efficiency

We present a seventh order iterative method for solving systems of nonlinear equations. The algorithm is derivative free per full iteration. A comparison between the computational efficiencies of proposed technique and existing techniques of similar nature is made. It is shown that for large system the new method is more efficient. The performance is tested through numerical experimentation which also confirms the theoretical results.

• 出版日期2014-12