References
References
- Kantorovich LV Akilov GP (1982) Functional Analysis, Pergamon Press Oxford
- Potra , FA . (1989) . On Q-order and R-order of convergence . SIAM J. Optimiz. Th. Applic. , 63 ( 3 ) : 415 – 431 .
- Ostrowski AM (1973) Solution of Equations in Euclidean and Banach Spaces, Academic Press New York
- Amat , S and Busquier , S . (2003) . On a higher order Secant method . Appl. Math. Comput. , 141 ( 2–3 ) : 321 – 329 .
- Amat , S and Busquier , S . (2002) . A modified Secant method for semismooth equations . App. Math. Letters , 16 ( 6 ) : 877 – 881 .
- Potra , FA , Qi , L and Sun , D . (1998) . Secant methods for semismooth equations . Numer. Math. , 80 : 305 – 324 .
- Argyros IK Szidarovszky F (1993) Theory and Applications of Iterative Methods, CRC-Press Inc. Boca Raton Florida USA
- Ypma , TJ . (1984) . Local convergence of inexact Newton method . SIAM J. Numer. Anal. , 21 ( 3 ) : 583 – 590 .
- Rheinboldt , WC . (1977) . An adaptive continuation process for solving systems of nonlinear equations . Polish Academy Sci. Banach Ctr. Publ. , 3 : 129 – 142 .
- Argyros IK rrez JM (2003) A unified approach for enlarging the radius of convergence for Newton's method and applications, submitted to International Journal of Pure and Applied Mathematics
- Allgower , EL , hmer , K , Potra , FA and Rheinboldt , WC . (1986) . A mesh-independence principle for operators equations and their applications . SIAM J. Numer. Anal. , 23 ( 1 ) : 160 – 169 .
- Argyros IK (2000) Advances in the Efficiency of Computational Methods and Applications, World Scientific Singapore
- Brown , PN . (1987) . A local convergence theory for combined inexact-Newton finite-difference projection methods . SIAM J. Numer. Anal. , 24 ( 2 ) : 402 – 434 .
- Ogasawara , H . (2002) . On local and superlinear convergence of Secant methods for nonlinear equations . SUT J. Math. , 38 ( 1 ) : 39 – 59 .