论文信息 - Improving the domain of starting points for secant-like methods - 字舞流文

Improving the domain of starting points for secant-like methods

Abstract From the simplified secant method and a family of secant-like methods, we construct a family of predictor–corrector iterative methods for solving a nonlinear equation in Banach spaces.

Miguel Ángel Hernández | José Antonio Ezquerro | Natalia Romero Álvarez | A. I. Velasco

[1] Antonio Marquina,et al. Recurrence relations for rational cubic methods I: The Halley method , 1990, Computing.

[2] J. Traub. Iterative Methods for the Solution of Equations , 1982 .

[3] I. K. Argyros,et al. On the Secant method , 1993, J. Complex..

[4] Antonio Marquina,et al. Recurrence relations for rational cubic methods II: The Chebyshev method , 1991, Computing.

[5] Sergio Amat,et al. On a Steffensen's type method and its behavior for semismooth equations , 2006, Appl. Math. Comput..

[6] Miguel Ángel Hernández,et al. Solving a special case of conservative problems by Secant-like methods , 2005, Appl. Math. Comput..

[7] Miguel Ángel Hernández,et al. An improvement of the region of accessibility of Chebyshev's method from Newton's method , 2009, Math. Comput..

[8] M. J. Rubio,et al. Secant-like methods for solving nonlinear integral equations of the Hammerstein type , 2000 .

[9] F. Potra,et al. Nondiscrete induction and iterative processes , 1984 .

[10] S. Amat,et al. A two-step Steffensen's method under modified convergence conditions , 2006 .

[11] M. J. Rubio,et al. A uniparametric family of iterative processes for solving nondifferentiable equations , 2002 .

[12] Ioannis K. Argyros,et al. The secant method and fixed points of nonlinear operators , 1988 .