Complexity International       /vol10/tomova01/ © Copyright 2001     
Volume 10 Received: 
Accepted: 
06 Feb 2001
20 Dec2003



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.

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.



 
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Tomova, A.W. (2001), Problems and solutions by the application of julia set theory to onedot and multidots numerical metods for computing solution of the equations, Complexity International, Volume 10, Paper ID: tomova01, URL: http://www.coplexity.org.au/ci/vol10/tomova01/
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