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Novel algorithms solving nonlinear equation in very large scope

Zhezhao Zeng, Dongmei Lin, Lulu Zheng
2010 Journal of Computers  
Two new algorithms used in large-scope solution are put forward to solve nonlinear equations which were not solved by some traditional methods.  ...  The initial value was arbitrarily chosen in very large scope. The convergence theorem of the algorithm was presented and proved.  ...  very large scope.  ... 
doi:10.4304/jcp.5.4.606-613 fatcat:wtfqur7545grxldab2bw7hivh4

An Efficient, Approximate Path-Following Algorithm For Elastic Net-Based Nonlinear Spike Enhancement

Max Little
2014 Zenodo  
Publication in the conference proceedings of EUSIPCO, Lisbon, Portugal, 2014  ...  The purpose of this paper is to describe the use of elastic net regularization [8] in spike enhancement, and to introduce a novel algorithm for solving this convex regularization problem.  ...  (c) The signal in (b) after linear filtering with equation (2), is the first-order discrete integrator matrix, , MAE = 0.095. (d) After nonlinear filtering with equation (4), , MAE = 0.070.  ... 
doi:10.5281/zenodo.44098 fatcat:xki5imychbglbmsshxfn2ncvv4

Electrostatics of nanosystems: Application to microtubules and the ribosome

N. A. Baker, D. Sept, S. Joseph, M. J. Holst, J. A. McCammon
2001 Proceedings of the National Academy of Sciences of the United States of America  
Foremost among the models used to elucidate the electrostatic potential is the Poisson-Boltzmann equation; however, existing methods for solving this equation have limited the scope of accurate electrostatic  ...  To accommodate arbitrarily large biomolecules, algorithms for solving the PBE must be both efficient and amenable to implementation on a parallel platform in a scalable fashion, requirements that current  ...  Foremost among the models used to elucidate the electrostatic potential is the Poisson-Boltzmann equation; however, existing methods for solving this equation have limited the scope of accurate electrostatic  ... 
doi:10.1073/pnas.181342398 pmid:11517324 pmcid:PMC56910 fatcat:xx34fhh5bff5hnbzkumr3uhcgy

Finding the Roots of System of Nonlinear Equations by a Novel Filled Function Method

Wei-Xiang Wang, You-Lin Shang, Wei-Gang Sun, Ying Zhang
2011 Abstract and Applied Analysis  
We present a novel filled function approach to solve box-constrained system of nonlinear equations.  ...  The system is first transformed into an equivalent nonsmooth global minimization problem, and then a new filled function method is proposed to solve this global optimization problem.  ...  Acknowledgments The authors are very grateful to the anonymous referees and the editor for their extremely valuable comments and suggestions, which have contributed to significant improvements of this  ... 
doi:10.1155/2011/209083 fatcat:cpezs6aocjdtjokzsl4sisliy4

Forward Kinematics of Delta Manipulator by Novel Hybrid Neural Network

Mahesh A. Makwana, Haresh P. Patolia
2021 International journal of mathematical, engineering and management sciences  
This work presents a novel hybrid method of optimizing an Artificial Neural Network (ANN) specifically Multilayer Perceptron (MLP) with Genetic Algorithm (GA) and Step-wise Linear Regression (SWLR) to  ...  For given joint angles, the proposed network predicted positional values which are in good approximation with known trajectory solved by standard analytical method.  ...  Acknowledgement This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.  ... 
doi:10.33889/ijmems.2021.6.6.100 fatcat:ukcsf5inbbabxnmqw3pkevava4

Contribution to experimental investigation of fitting the current transformers' calibration curves
Prilog eksperimentalnom istraživanju fitovanja kalibracionih krivih strujnih mernih transformatora

Attila Juhász, Vladimir Vujičić
2020 Journal on Processing and Energy in Agriculture  
The paper presents the results of a novel algorithm that allows correcting the transformers' current ratio error from 0.25% to within 0.004%, based on 8 key calibration points in the range 1% to 200% of  ...  the CT's nominal primary current, in line with the new IEEE Standard.  ...  In order for the principle to be applied in those cases, calibration equipment for the highest voltage levels must be available.  ... 
doi:10.5937/jpea24-30719 fatcat:w4f4ku7w3bfotdapzlfn7h5k5q

Hybridization of Grasshopper Optimization Algorithm with Genetic Algorithm for Solving System of Non-Linear Equations

M.A. El-Shorbagy, Adel M. El-Refaey
2020 IEEE Access  
The single nonlinear equation solution is an easy process but, solving a set of nonlinear equations is very difficult.  ...  Proposing a novel hybrid-GOA-GA algorithm for solving system of non-linear equations (SNLEs). 2.  ... 
doi:10.1109/access.2020.3043029 fatcat:djkslvu4wzhazijnb7rcn26ea4

Fully implicit ADI schemes for solving the nonlinear Poisson-Boltzmann equation

Weihua Geng, Shan Zhao
2013 Molecular Based Mathematical Biology  
In this paper, we construct two operator splitting alternating direction implicit (ADI) schemes to efficiently and stably solve the nonlinear PB equation in a pseudo-transient continuation approach.  ...  The proposed time splitting ADI schemes are different from all existing pseudo-transient continuation approaches for solving the classical nonlinear PB equation in the sense that they are fully implicit  ...  The research of Zhao was supported in part by the NSF grant DMS-1016579.  ... 
doi:10.2478/mlbmb-2013-0006 fatcat:7zhlqmyzf5guvj7ptl7kax4a4a

The design and implementation of PowerMill

Charlie X. Huang, Bill Zhang, An-Chang Deng, Burkhard Swirski
1995 Proceedings of the 1995 international symposium on Low power design - ISLPED '95  
In this paper we discuss the design and implementation of the simulator PowerMill, a novel transistor level simulator for the simulation of current and power behavior in vlsi circuits.  ...  With a new transistor modeling technology and a versatile event driven simulation algorithm, PowerMill is capable of simulating detailed current behavior in modern deep-submicron cmos circuits, including  ...  Mathematically, this model is arrived at by expanding a nonlinear device model equation into a Taylor series near the operating point (v gs0 ; v ds0 ), which is in turn truncated into a linear equation  ... 
doi:10.1145/224081.224100 dblp:conf/islped/HuangZDS95 fatcat:p7qtxpcvu5g33py5buxsjoaoi4

Damped Least-Square Method Based on Chaos Anti-Control for Solving Forward Displacement of General 6-6-Type Parallel Mechanism

Youxin Luo, Qiyuan Liu, Xiaoyi Che, Lingfang Li
2013 International Journal of Advanced Robotic Systems  
Combining the characteristics of the chaotic sequence with the damped least-square method, all real solutions of forward displacement in nonlinear equations were found.  ...  Its mathematical model is a kind of strongly nonlinear multivariable equation set with unique characteristics and a high level of difficulty.  ...  Obtaining forward displacement ultimately boils down to solving a set of nonlinear equations.  ... 
doi:10.5772/56136 fatcat:2r7nbko53fbexicwpxxv2ef5u4

Computationally-efficient FDTD modeling of supercontinuum generation in photonic crystal fibers

Tomasz Karpisz, Bartlomiej Salski, Ryszard Buczynski, Pawel Kopyt, Adam Pacewicz
2016 Optical and quantum electronics  
The example investigated in this paper shows very promising results as compared with experiments and approximate numerical simulations of a nonlinear Schrodinger equation performed with the aid of the  ...  It is depicted that the proposed novel hybrid approach opens the way for rigorous, yet, computationally-efficient modeling of third order nonlinear processes in optically long fibers.  ...  distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in  ... 
doi:10.1007/s11082-016-0428-y fatcat:uottps2idfcq7kzwz7tkoktspu

Page 3483 of Mathematical Reviews Vol. , Issue 93f [page]

1993 Mathematical Reviews  
Summary: “A novel square-root information filter algorithm is proposed to solve the Kalman filtering problem for discrete-time descriptor systems.  ...  This makes a considerable re- duction in the computational burden in contrast to the algorithms now in existence.  ... 

Similarity: generalizations, applications and open problems

G. Bluman, P. Broadbridge, J. R. King, M. J. Ward
2009 Journal of Engineering Mathematics  
Symmetry-classification algorithms Recent developments in solving overdetermined systems of differential equations and their implementation in terms of various symbolic software packages have allowed one  ...  [10, 42, [48] [49] [50] [51] [52] [53] [54] [55] ); -efficiently solve the (overdetermined) linear systems of determining equations for symmetries or conservation law multipliers and solve the nonlinear  ... 
doi:10.1007/s10665-009-9330-y fatcat:azyuifujdrcujkhzlup3uvccpa

A Hybrid Approach for Solving Systems of Nonlinear Equations Using Harris Hawks Optimization and Newton's Method

Rami Sihwail, Obadah Said Solaiman, Khairuddin Omar, Khairul Akram Zainol Ariffin, Mohammed Alswaitti, Ishak Hashim
2021 IEEE Access  
In this work, a novel hybrid method namely Newton-Harris hawks optimization (NHHO) for solving systems of nonlinear equations is proposed.  ...  Accordingly, the proposed NHHO is powerful and more effective in all benchmark problems in solving systems of nonlinear equations compared to the other optimization algorithms.  ...  The scope of this manuscript is to evaluate the ability of the proposed NHHO algorithm in solving systems of nonlinear equations and hypothetically, all the solved problems were considered as global optimization  ... 
doi:10.1109/access.2021.3094471 fatcat:nmk7a2pfwncbtpgjzsc56x34zi

Software System Design based on Patterns for Newton-Type Methods [article]

Ricardo Serrato Barrera and Gustavo Rodríguez Gómez and Julio César Pérez Sansalvador and Saul E. Pomares Hernández and Leticia Flores Pulido and Antonio Muñoz
2019 arXiv   pre-print
This leads to large development times and error prone code that, in general, will not be reused for any other application.  ...  In this work, we present a novel methodology that simplifies, fasten and improves the development process of scientific software. This methodology guide us on the identification of design patterns.  ...  We apply the Strategy pattern [15] to encapsulate the algorithms that solve equation (3) in a family of classes that share the same interface.  ... 
arXiv:1905.04642v1 fatcat:acrbm2q47ras3ng4pwm44ppuja
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