Search Results - Complex root-finding algorithm

On root finding algorithms for complex functions with branch cuts by Kowalczyk, Piotr

“…A simple and versatile method is presented, which enhances the complex root finding process by eliminating branch cuts and branch points in the analyzed domain…”
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A New Root-Finding Algorithm for Solving Real-World Problems and Its Complex Dynamics via Computer Technology by Naseem, Amir, Rehman, M. A., Younis, Jihad

“… Many complex statistics can be sorted out easily with the help of different computer programs in seconds, especially in computational and applied Mathematics…”
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Self-Adaptive Mesh Generator for Global Complex Roots and Poles Finding Algorithm by Dziedziewicz, Sebastian, Warecka, Malgorzata, Lech, Rafal, Kowalczyk, Piotr

“… However, the global complex roots and poles finding algorithm (GRPF) (as one of the few) has direct control over the accuracy of the results…”
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AN IMPROVED ITERATIVE SCHEME FOR REAL AND COMPLEX ROOTS DETECTION by Malhotra, Reetu, Siwach, Anujeet

“…In this study, researchers propose an innovative numerical approach to solve non-linear equations for real as well as complex roots…”
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Global Complex Roots and Poles Finding Algorithm in C × R Domain by Dziedziewicz, Sebastian, Warecka, Malgorzata, Lech, Rafal, Kowalczyk, Piotr

“…An algorithm to find the roots and poles of a complex function depending on two arguments…”
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Global Complex Roots and Poles Finding Algorithm Based on Phase Analysis for Propagation and Radiation Problems by Kowalczyk, Piotr

“…A flexible and effective algorithm for complex roots and poles finding is presented…”
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A Geometric Approach to Global Complex Roots Finding Algorithm by Li, Yan-Rong

“… Recently, many high efficient root finding methods had been proposed. However, those algorithms usually required an initial point that is close enough to the exact root…”
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Efficient complex root finding algorithm for microwave and optical propagation problems by Kowalczyk, Piotr

“…Article relates to the use of innovative root finding algorithm (on a complex plane) to study propagation properties of microwave and optical waveguides…”
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Evaluation of propagation parameters of open guiding structures with the use of complex root finding algorithms by Warecka, Malgorzata, Kowalczyk, Piotr, Lech, Rafal

“… The efficiency of the root tracing algorithm is discuses and compared to a global root finding algorithm…”
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Global Roots and Poles Finding Algorithm on Quantum Computer by Buczkowski, Jakub, Kozminski, Tomasz, Szczepanski, Filip, Wilinski, Michal, Stefanski, Tomasz P.

“…In this paper, the implementation of the global roots and poles finding algorithm for a complex-valued function of a complex variable on a quantum computer, which allows for solving general nonlinear…”
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Simple and fast numerical analysis of multilayer waveguide modes by Kwon, Min-Suk, Shin, Sang-Yung

“… The proposed method has two features: simple implementation and fast calculation. Its implementation is simple since it is based on a complex root-finding algorithm reported recently…”
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An Improvement of Global Complex Roots and Poles Finding Algorithm for Propagation and Radiation Problems by Jasinski, Maciej, Dziedziewicz, Sebastian, Jozwicka, Maria, Kowalczyk, Piotr

“…An improvement of the recently developed global roots finding algorithm has been proposed…”
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Innovative root finding and tracing algorithms in complex domain for treatment of lossy transmission lines by Marynowski, Wojciech, Kowalczyk, Piotr

“…Innovative complex root finding and tracing algorithms are applied to the analysis of losses in transmission line containing a thin graphene layer deposited on a silicone substrate…”
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Newton’s method in practice, II: The iterated refinement Newton method and near-optimal complexity for finding all roots of some polynomials of very large degrees by Randig, Marvin, Schleicher, Dierk, Stoll, Robin

“…We present an algorithm, based on Newton’s method, for finding all roots of univariate complex polynomials so that the observed complexity is linear in the degree, up to logarithmic factors…”
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Simulating biologically plausible complex survival data by Crowther, Michael J., Lambert, Paul C.

“… We describe a general algorithm involving numerical integration and root‐finding techniques to generate survival times from a variety of complex parametric distributions, incorporating any combination of time…”
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FAMILIES OF RATIONAL MAPS AND ITERATIVE ROOT-FINDING ALGORITHMS (DYNAMICS, COMPLEX ANALYSIS, NEWTON'S METHOD) by MCMULLEN, CURTIS TRACY

“…In this work we develop a rigidity theorem for algebraic families of rational maps and apply it to the study of iterative root-finding algorithms…”
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Efficient Inverse Fractional Neural Network-Based Simultaneous Schemes for Nonlinear Engineering Applications by Shams, Mudassir, Carpentieri, Bruno

“… In this paper, we propose a new class of global neural network-based root-finding algorithms for locating real and complex polynomial roots, which exploits the ability of machine learning techniques…”
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Dynamics of Newton-like root finding methods by Campos, B., Canela, J., Vindel, P.

“…When exploring the literature, it can be observed that the operator obtained when applying Newton-like root finding algorithms to the quadratic polynomials z 2…”
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Improved Aberth–Ehrlich root-finding algorithm and its further application for binary microlensing by Fatheddin, Hossein, Sajadian, Sedighe

“…) is used while modelling binary light curves. In this paper, we first introduce a fast root-finding algorithm for univariate polynomials based on the Aberth–Ehrlich (AE…”
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An explicit 16-stage Runge–Kutta method of order 10 discovered by numerical search by Zhang, David Kai

“…-finding algorithms to the order conditions. A naïve implementation of these algorithms would be made computationally infeasible by the considerable size and complex structure of the Butcher equations…”
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