AbstractWe show that the relaxed Newton's method for finding the roots of a cubic with one double root is conjugate, by a linear fractional transformation on the Riemann sphere, to the iterations of the quadratic p(z) = z2 − 0.75
The roots of a cubic polynomial depend on the coefficients of the cubic in a complicated way. In thi...
Agraïments: The third author is partially supported by the Polish NCN grant decision DEC-2012/06/M/S...
Iteration methods are very useful in solving nonlinear algebraic equations. The most famous such met...
AbstractWe show that the relaxed Newton's method for finding the roots of a cubic with one double ro...
In this paper, we analyse the dynamical behaviour of the operators associated with multi-point inter...
Newton\u27s method is a useful tool for finding roots of functions when analytical methods fail. The...
Newton\u27s method is a useful tool for finding roots of functions when analytical methods fail. The...
AbstractWe study the relaxed Newton’s method applied to polynomials. In particular, we give a techni...
We investigate the parameter plane of the Newton's method applied to the family of quartic polynomia...
The aim of this paper is to visually investigate the dynamics and stability of the process in which ...
The intricately interwoven basins of attraction stemming from Newton\u27s Method applied to a simple...
We study the relaxed Newton's method applied to polynomials. In particular, we give a technique such...
Agraïments: The first and fourth authors were partially supported by P11B2011-30In this paper we stu...
The aim of this paper is to investigate experimentally and to present visually the dynamics of the p...
The roots of a cubic polynomial depend on the coefficients of the cubic in a complicated way. In thi...
The roots of a cubic polynomial depend on the coefficients of the cubic in a complicated way. In thi...
Agraïments: The third author is partially supported by the Polish NCN grant decision DEC-2012/06/M/S...
Iteration methods are very useful in solving nonlinear algebraic equations. The most famous such met...
AbstractWe show that the relaxed Newton's method for finding the roots of a cubic with one double ro...
In this paper, we analyse the dynamical behaviour of the operators associated with multi-point inter...
Newton\u27s method is a useful tool for finding roots of functions when analytical methods fail. The...
Newton\u27s method is a useful tool for finding roots of functions when analytical methods fail. The...
AbstractWe study the relaxed Newton’s method applied to polynomials. In particular, we give a techni...
We investigate the parameter plane of the Newton's method applied to the family of quartic polynomia...
The aim of this paper is to visually investigate the dynamics and stability of the process in which ...
The intricately interwoven basins of attraction stemming from Newton\u27s Method applied to a simple...
We study the relaxed Newton's method applied to polynomials. In particular, we give a technique such...
Agraïments: The first and fourth authors were partially supported by P11B2011-30In this paper we stu...
The aim of this paper is to investigate experimentally and to present visually the dynamics of the p...
The roots of a cubic polynomial depend on the coefficients of the cubic in a complicated way. In thi...
The roots of a cubic polynomial depend on the coefficients of the cubic in a complicated way. In thi...
Agraïments: The third author is partially supported by the Polish NCN grant decision DEC-2012/06/M/S...
Iteration methods are very useful in solving nonlinear algebraic equations. The most famous such met...
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