References
- Allgower , E. L. and Jeppson , M. M. 1973 . The approximation of solutions of nonlinear elliptic boundary value problems having several solutions . Springer Lecture Notes , 333 : 1 – 20 .
- Grapsa , T. N. and Vrahatis , M. N. 1989 . The implicit function theorem for solving systems of nonlinear equations in R 2 . Inter. J. Computer Math. , 28 : 171 – 181 .
- Grapsa , T. N. and Vrahatis , M. N. 1990 . A dimension-reducing method for solving systems of nonlinear equations in R n . Inter. J. Computer Math. , 32 : 205 – 216 .
- Grapsa , T. N. , Vrahatis , M. N. and Bountis , T. C. 1990 . Solving systems of nonlinear equations in R n using a rotating hyperplane in R n+1 . Inter. J. Computer Math. , 35 : 133 – 151 .
- Moré , J. J. , Garbow , B. S. and Hillstrom , K. E. 1981 . Testing unconstrained optimization software . ACM Trans. Math. Software , 7 : 17 – 41 .
- Ortega , J. M. 1972 . Numerical Analysis , New York : Academic Press .
- Ortega , J. M. and Rheinboldt , W. C. 1970 . Iterative solution of nonlinear equations in several variables , New York : Academic Press .
- Vrahatis M. N. Servizi G. Turchetti G. Bountis T. C. A procedure to compute the periodic orbits and visualize the orbits of a 2D map 1993 CERN SL/93-06(AP)
- Vrahatis , M. N. and Bountis , T. C. “ Hamiltonian Mechanics: Integrability and Chaotic Behavior ” . In An efficient method for computing periodic orbits of conservative dynamical systems , Edited by: Seimenis , J. New York : Plenum Press . in press.