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/vol10/tomova01/ | © Copyright 2001 | |||
| Volume 10 | Received: Accepted: |
06 Feb 2001 20 Dec2003 |
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Problems and solutions by the application of julia set theory to onedot and multidots numerical metods for computing solution of the equations
Tomova, A.W. |
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| Abstract | |
| In 1977 J.H.Hubbard developed the Ideas of a.Caylay(1879)and solved the Newton-Fourier imaginary problem particular.We solve The newton-Fourier and the Chebisheff-Fourier imaginary problem completely.It is known that the application of Julia set theory is possible to the one-dot numerical method like the Newton,s method for computing solution of the nonlinear equations.The secants method is two-dots numerical method and the application of Julia set theory to it isn't demonstrated.Prevoisly we have defined two one-dot combinations:the Newton's-secants and the chebisheff's-secants methods and have used the escape time algorithm to analyse the application of julia set theory to these two combinations in some special cases.We consider and solve the Newton's-secants and Chebisheff's-secants imaginary problem completely. | |