Weierstrass method for quaternionic polynomial root-finding
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DOI: 10.1002/mma.4623
Abstract: Quaternions, introduced by Hamilton in 1843 as a generalization of complex numbers, have found, in more recent years, a wealth of applications in a number of different areas that motivated the design of efficient methods… read more here.
Keywords: root finding; method quaternionic; quaternionic polynomial; method ... See more keywords
Two-Dimensional Direction of Arrival Estimation for Coprime Planar Arrays via Polynomial Root Finding Technique
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DOI: 10.1109/access.2018.2821919
Abstract: In this paper, the problem of 2-D direction-of-arrival (2-D-DOA) estimation for coprime planar arrays is investigated, and a method based on the polynomial root finding technique with high accuracy and computational efficiency is proposed. In… read more here.
Keywords: polynomial root; estimation; root finding; coprime planar ... See more keywords
Graphical and Numerical Study of a Newly Developed Root-Finding Algorithm and Its Engineering Applications
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DOI: 10.1109/access.2023.3234111
Abstract: The primary objective of this paper is to develop a new method for root-finding by combining forward and finite-difference techniques in order to provide an efficient, derivative-free algorithm with a lower processing cost per iteration.… read more here.
Keywords: root; developed root; root finding; finding algorithm ... See more keywords
Optimal Derivative-Free Root Finding Methods Based on Inverse Interpolation
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DOI: 10.3390/math7020164
Abstract: Finding a simple root for a nonlinear equation f ( x ) = 0 , f : I ⊆ R → R has always been of much interest due to its wide applications in many… read more here.
Keywords: root; root finding; derivative free; optimal derivative ... See more keywords