A NEW CLASS OF SECANT-LIKE METHODS FOR SOLVING NONLINEAR SYSTEMS OF EQUATIONS

作者：Ezquerro Jose A^*; Grau Angela; Grau Sanchez Miquel; Hernandez Veron Miguel A

来源：Communications in Applied Mathematics and Computational Science, 2014, 9(2): 201-213.

DOI：10.2140/camcos.2014.9.201

• nonlinear equations
• iterative methods
• divided difference
• secant method
• Kurchatov method
• secant-like method
• order of convergence
• efficiency index
• computational efficiency

Applying twice an idea of Hernandez and Rubio (2002) for constructing a one-parameter family of secant-like methods, we define a two-parameter family of secant-like methods for solving nonlinear systems of equations. We analyze the efficiency of this new family and conclude that the Kurchatov method, which is one member of the family, is the most efficient. We illustrate this with Troesch%26apos;s problem.

• 出版日期2014