A multi-step class of iterative methods for nonlinear systems

作者：Soleymani Fazlollah^*; Lotfi Taher; Bakhtiari Parisa

来源：Optimization Letters, 2014, 8(3): 1001-1015.

DOI：10.1007/s11590-013-0617-6

• Nonlinear systems
• Matrix
• LU factorization
• Computational complexity
• Nonlinear differential equations

In this article, the numerical solution of nonlinear systems using iterative methods are dealt with. Toward this goal, a general class of multi-point iteration methods with various orders is constructed. The error analysis is presented to prove the convergence order. Also, a thorough discussion on the computational complexity of the new iterative methods will be given. The analytical discussion of the paper will finally be upheld through solving some application-oriented problems.

• 出版日期2014-3