Fractal patterns from the dynamics of combined polynomial root finding methods
نویسندگان
چکیده
منابع مشابه
Accurate polynomial root-finding methods for symmetric tridiagonal matrix eigenproblems
In this paper we consider the application of polynomial root-finding methods to the solution of the tridiagonal matrix eigenproblem. All considered solvers are based on evaluating the Newton correction. We show that the use of scaled three-term recurrence relations complemented with error free transformations yields some compensated schemes which significantly improve the accuracy of computed r...
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Introduction. The problem of devising optimal methods for numerically approximating the roots of a polynomial has been of interest for several centuries, and is far from solved. There are numerous recent works on root-finding algorithms and their cost, for example, the work of Jenkins and Traub [JT70], Renegar [Ren87], Schönhage [Sch82], and Shub and Smale [SS85, SS86, Sma85]. This list is far ...
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Geometric shapes and motifs are a combination of the human spiritual mind which sees the existence of beautiful and paints a historical civilization through this vision. The geometric motifs are an expression of the rhythmic and balanced human beings possessions when the human being wants to imagine beyond the present and create a world full of love. The patterns/shapes are the basis of artwork...
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ژورنال
عنوان ژورنال: Nonlinear Dynamics
سال: 2017
ISSN: 0924-090X,1573-269X
DOI: 10.1007/s11071-017-3813-6