References
- Al-Baali , M. 1985 . Descent property and global convergence of the Fletcher–Reeves method with inexact line search . IMA. J. Numer. Anal. , 5 : 121 – 124 .
- Cayley , A. 1879 . Desiderata and suggestions, The Newton–Fourier imaginary problem . Am. J. Math. , 2 ( 1 ) : 79
- Falconer , K. 1990 . Fractal Geometry , New York : J. Wiley .
- Fletcher , R. 1970 . A new approach to variable metric algorithms . Comput. J. , 13 : 317 – 322 .
- Fletcher , R. and Powell , M. J.D. 1963 . A rapidly convergent descent method for minimisation . Comput. J. , 6 : 163 – 168 .
- Julia , G. 1918 . Mémoire sur l'itération des fonctions rationnelles . J. Math. Pures et Appl. , 81 : 47 – 235 .
- Mandelbrot , B. 1983 . The Fractal Geometry of Nature , New York : W.H. Freeman .
- Nocedal , J. 1999 . Theory of algorithms for unconstrained optimization . Acta Numer. , 1 : 199 – 242 .
- Peitgen , H.-O. , Saupe , D. and von Haeseler , F. 1984 . Cayley's problem and Julia sets . Math. Intelligencer , 6 ( 2 ) : 11 – 20 .
- Polak , E. 1971 . Computatinal Methods in Optimization , Academic Press .
- Sahari , M. L. 2006 . Fortran90 software for complex dynamics home page: http://mlsahari.site.voila.fr/CGbasins.f90
- Von Haesler , F. and Peitgen , H.-O. 1988 . Newton's method and complex dynamical systems . Acta. Appl. Math. , 13 ( 1–2 ) : 3 – 58 .