References
- Argyros , I. K. 1993 . On the Secant Method . Publ. Math. Debrecen , 43 : 223 – 238 .
- Balazs , M. and Goldner , G. 1973 . On Existence of Divided Differences in Linear Spaces . Rev. Anal. Numer. Théorie Approximation , 2 : 3 – 6 .
- Dennis , J. E. 1969 . On the Kantorovich Hypothesis for Newton's Method . SIAM J. Numer. Anal. , 6 : 493 – 507 .
- Gutierrez , J. M. and Hernandez , M. A. 1997 . New Recurrence Relations for Chebyshev Method . Appl. Math. Lett. , 10 : 63 – 65 .
- Hernández , M. A. and Salanova , M. A. Chebyshev Method and Convexity , To appear in Appl. Math. Comput.
- Moret , I . 1984 . A Note on Newton Type Iterative Methods . Computing , 33 : 65 – 73 .
- Potra , F. A. 1979 . On a Modified Secant Method . Anal Numer. Theor. Approx. , 8 : 203 – 214 .
- Potra , F. A. and Pták , V. Nondiscrete Induction and Iterative Processes , New York : Pitman .
- Rheinboldt , W. C. 1968 . A Unified Convergence Theory for a Class of Iterative Processes . SIAM J. Numer. Anal. , 5 ( 1 ) : 371 – 391 .
- Rokne , J. 1972 . Newton's Method under Mild Differentiability Conditions with Error Analysis . Numer, Math. , 18 ( 1 ) : 401 – 412 .
- Schmidt , J. W. 1974 . Regula-Falsi Verfahren mit Konsistenter Steigung und Majoranten Prinzip . Periodica Mathematica Hungarica , 5 ( 1 ) : 187 – 193 .
- Schroder , J. 1956 . Nichtlineare Majoranten beim Verfahren der Schrittweissen Naherung . Arch. Math , 7 ( 1 ) : 471 – 484 . Basel
- Sergeev , A. 1961 . On the Method of Chords . Sibirsk. Mat. Ž. , 2 ( 1 ) : 282 – 289 .
- Ulm , S. 1967 . ToimtisedFüüs. Mat. , 16 ( 1 ) : 146 – 156 .
- Ypma , T. J. 1984 . Convergence of Newton-like Iterative Methods . Numer, Math. , 45 ( 1 ) : 251 – 421 .