In this paper we propose a version of Newton method for finding zeros of a quaternion function of a quaternion variable, based on the concept of quaternion radial derivative. Several numerical examples involving elementary functions are presented
Solving a quadratic equation P (x) = ax2 + bx+ c = 0 with real coefficients is known to middle scho...
AbstractIn this paper we develop the fundamental elements and results of a new theory of regular fun...
William Rowan Hamilton invented the quaternions in 1843, in his effort to construct hypercomplex num...
We revisit the quaternion Newton method for computing roots of a class of quaternion valued function...
This article explores the numerical mathematics and visualization capabilities of Mathematica in the...
In this paper we focus on the study of monic polynomials whose coefficients are quaternions located ...
This paper describes new issues of the Mathematica standard package Quaternions for implementing Ham...
AbstractA method is developed to compute the zeros of a quaternion polynomial with all terms of the ...
Dissertação de mestrado em Matemática Computacional.A descoberta dos quaterniões por Sir Hamilton em...
In this paper we revisit the ring of (left) one-sided quaternionic polynomials with special focus on...
After more than hundred years of arguments in favour and against quaternions, of exciting odysseys w...
AbstractThe purpose of this paper is to show how the problem of finding roots (or zeros) of the moni...
AbstractIn this paper, we derive explicit formulas for computing the roots of a quaternionic quadrat...
A method is developed to compute the zeros of a quaternion polynomial with all terms of the form qkX...
Quaternion derivatives exist only for a very restricted class of analytic (regular) functions; howev...
Solving a quadratic equation P (x) = ax2 + bx+ c = 0 with real coefficients is known to middle scho...
AbstractIn this paper we develop the fundamental elements and results of a new theory of regular fun...
William Rowan Hamilton invented the quaternions in 1843, in his effort to construct hypercomplex num...
We revisit the quaternion Newton method for computing roots of a class of quaternion valued function...
This article explores the numerical mathematics and visualization capabilities of Mathematica in the...
In this paper we focus on the study of monic polynomials whose coefficients are quaternions located ...
This paper describes new issues of the Mathematica standard package Quaternions for implementing Ham...
AbstractA method is developed to compute the zeros of a quaternion polynomial with all terms of the ...
Dissertação de mestrado em Matemática Computacional.A descoberta dos quaterniões por Sir Hamilton em...
In this paper we revisit the ring of (left) one-sided quaternionic polynomials with special focus on...
After more than hundred years of arguments in favour and against quaternions, of exciting odysseys w...
AbstractThe purpose of this paper is to show how the problem of finding roots (or zeros) of the moni...
AbstractIn this paper, we derive explicit formulas for computing the roots of a quaternionic quadrat...
A method is developed to compute the zeros of a quaternion polynomial with all terms of the form qkX...
Quaternion derivatives exist only for a very restricted class of analytic (regular) functions; howev...
Solving a quadratic equation P (x) = ax2 + bx+ c = 0 with real coefficients is known to middle scho...
AbstractIn this paper we develop the fundamental elements and results of a new theory of regular fun...
William Rowan Hamilton invented the quaternions in 1843, in his effort to construct hypercomplex num...
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