Relevant bibliographies by topics / Newton iterative method

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Newton iterative method'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Newton iterative method"

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Zhang, Yanmei, Xia Cui, and Guangwei Yuan. "Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation." ESAIM: Mathematical Modelling and Numerical Analysis 54, no. 5 (2020): 1465–90. http://dx.doi.org/10.1051/m2an/2019095.

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This paper discusses accelerating iterative methods for solving the fully implicit (FI) scheme of equilibrium radiation diffusion problem. Together with the FI Picard factorization (PF) iteration method, three new nonlinear iterative methods, namely, the FI Picard-Newton factorization (PNF), FI Picard-Newton (PN) and derivative free Picard-Newton factorization (DFPNF) iteration methods are studied, in which the resulting linear equations can preserve the parabolic feature of the original PDE. By using the induction reasoning technique to deal with the strong nonlinearity of the problem, rigoro
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Chen, Huijuan, and Xintao Zheng. "Improved Newton Iterative Algorithm for Fractal Art Graphic Design." Complexity 2020 (November 27, 2020): 1–11. http://dx.doi.org/10.1155/2020/6623049.

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Fractal art graphics are the product of the fusion of mathematics and art, relying on the computing power of a computer to iteratively calculate mathematical formulas and present the results in a graphical rendering. The selection of the initial value of the first iteration has a greater impact on the final calculation result. If the initial value of the iteration is not selected properly, the iteration will not converge or will converge to the wrong result, which will affect the accuracy of the fractal art graphic design. Aiming at this problem, this paper proposes an improved optimization me
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Tiruneh, Ababu Teklemariam, W. N. Ndlela, and S. J. Nkambule. "A Two-Point Newton Method Suitable for Nonconvergent Cases and with Super-Quadratic Convergence." Advances in Numerical Analysis 2013 (March 19, 2013): 1–7. http://dx.doi.org/10.1155/2013/687382.

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An iterative formula based on Newton’s method alone is presented for the iterative solutions of equations that ensures convergence in cases where the traditional Newton Method may fail to converge to the desired root. In addition, the method has super-quadratic convergence of order 2.414 (i.e., ). Newton method is said to fail in certain cases leading to oscillation, divergence to increasingly large number, or offshooting away to another root further from the desired domain or offshooting to an invalid domain where the function may not be defined. In addition when the derivative at the iterati
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Zhang, Qing, Yan Jun Zhang, and Zi Wang Yu. "Calculation of Slope Safety Coefficient Based on Newton’s Iteration." Applied Mechanics and Materials 397-400 (September 2013): 2531–35. http://dx.doi.org/10.4028/www.scientific.net/amm.397-400.2531.

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Sarma method is used to calculate the slope and dam stability of widely used methods, wherein a spreadsheet is typically utilized to solve the safety coefficient. Spreadsheet calculation of safety factor in programming efficiency is significantly low, although some correction methods of Sarma use Newton iterative solution. However, the algorithm is extremely complicated for programming and engineering applications, thus making the work difficult to complete. Based on traditional Sarma method, this work uses defined derivatives in Newton iterative to determine the safety factor and obtain the c
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Geiser, Jürgen. "Modified Jacobian Newton Iterative Method: Theory and Applications." Mathematical Problems in Engineering 2009 (2009): 1–24. http://dx.doi.org/10.1155/2009/307298.

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This article proposes a new approach to the construction of a linearization method based on the iterative operator-splitting method for nonlinear differential equations. The convergence properties of such a method are studied. The main features of the proposed idea are the linearization of nonlinear equations and the application of iterative splitting methods. We present an iterative operator-splitting method with embedded Newton methods to solve nonlinearity. We confirm with numerical applications the effectiveness of the proposed iterative operator-splitting method in comparison with the cla
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Jnawali, Jivandhar. "New Modified Newton Type Iterative Methods." Nepal Journal of Mathematical Sciences 2, no. 1 (2021): 17–24. http://dx.doi.org/10.3126/njmathsci.v2i1.36559.

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In this work, we present two Newton type iterative methods for finding the solution of nonlinear equations of single variable. One is obtained as variant of McDougall and Wotherspoon method, and another is obtained by amalgamation of Potra and Pta’k method and our newly introduced method. The order of convergence of these methods are 1 + √2 and 3.5615. Some numerical examples are given to compare the performance of these methods with some similar existing methods.
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Jnawali, Jivandhar, and Chet Raj Bhatta. "Iterative Methods for Solving Nonlinear Equations with Fourth-Order Convergence." Tribhuvan University Journal 30, no. 2 (2016): 65–72. http://dx.doi.org/10.3126/tuj.v30i2.25548.

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In this paper, we obtain fourth order iterative method for solving nonlinear equations by combining arithmetic mean Newton method, harmonic mean Newton method and midpoint Newton method uniquely. Also, some variant of Newton type methods based on inverse function have been developed. These methods are free from second order derivatives.
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Luo, You Xin, and Ling Fang Li. "Fractal–Based Newton Method and Mechanism Synthesis & Approximate Synthesis." Applied Mechanics and Materials 155-156 (February 2012): 420–23. http://dx.doi.org/10.4028/www.scientific.net/amm.155-156.420.

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Many questions in natural science and engineering are transformed into nonlinear equations to be found, Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. For the first time, utilizing a fractal iteration system to produce initial value, a new method to find all solutions of the nonlinear equations was proposed. The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.
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Luo, You Xin, and Bin Zeng. "Two-Dimensional Hyper-Chaotic Mapping Interval Newton Iterative Method to Mechanism Synthesis." Advanced Materials Research 230-232 (May 2011): 764–68. http://dx.doi.org/10.4028/www.scientific.net/amr.230-232.764.

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Mechanism synthesis questions can be transformed into nonlinear equations to be found. Interval Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. The characteristic of hyper-chaotic sequences produced by two dimensional hyper-chaotic discrete systems was analyzed. Making use of the advantage of giving rigorous bounds for the exact solution, for the first time, combining hyper-chaos sequences and interval Newton iteration with Krawczyk operator, a new method to find all
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Wang, Zhao Qing, Jian Jiang, Bing Tao Tang, and Wei Zheng. "Barycentric Interpolation Newton-Raphson Iterative Method for Solving Nonlinear Beam Equations." Applied Mechanics and Materials 684 (October 2014): 41–48. http://dx.doi.org/10.4028/www.scientific.net/amm.684.41.

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A barycentric interpolation Newton-Raphson iterative method for solving nonlinear beam bending problems is presented in this article. The nonlinear governing differential equation of beam bending problem is discretized by barycentric interpolation collocation method to form a system of nonlinear algebraic equations. Newton-Raphson iterative method is applied to solve the system of nonlinear algebraic equations. The Jacobian derivative matrix in Newton-Raphson iterative method is formulated by the Hadamard product of vectors. Some numerical examples are given to demonstrate the validity and acc
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Dissertations / Theses on the topic "Newton iterative method"

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Lin, Tian. "Newton method based iterative learning control for nonlinear systems." Thesis, University of Sheffield, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.434547.

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Padhy, Bijaya L. "NITSOL -- A Newton iterative solver for nonlinear systems a FORTRAN-to-MATLAB implementation." Link to electronic thesis, 2006. http://www.wpi.edu/Pubs/ETD/Available/etd-042806-161216/.

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Brooking, Christopher George. "Iterative solution of nonsymmetric linear systems arising from process modelling applications." Thesis, University of Bath, 1997. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.482106.

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Choi, Yan-yu. "Residual Julia sets of Newton's maps and Smale's problems on the efficiency of Newton's method." Click to view the E-thesis via HKUTO, 2006. http://sunzi.lib.hku.hk/hkuto/record/B37680948.

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Choi, Yan-yu, and 蔡欣榆. "Residual Julia sets of Newton's maps and Smale's problems on the efficiency of Newton's method." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2006. http://hub.hku.hk/bib/B37680948.

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Ali, Ali Hasan. "Modifying Some Iterative Methods for Solving Quadratic Eigenvalue Problems." Wright State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=wright1515029541712239.

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Benner, Peter, Enrique Quintana-Ortí, and Gregorio Quintana-Ortí. "Solving Linear Matrix Equations via Rational Iterative Schemes." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601460.

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We investigate the numerical solution of stable Sylvester equations via iterative schemes proposed for computing the sign function of a matrix. In particular, we discuss how the rational iterations for the matrix sign function can efficiently be adapted to the special structure implied by the Sylvester equation. For Sylvester equations with factored constant term as those arising in model reduction or image restoration, we derive an algorithm that computes the solution in factored form directly. We also suggest convergence criteria for the resulting iterations and compare the accuracy and perf
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Begiato, Rodolfo Gotardi 1980. "Métodos híbridos e livres de derivadas para resolução de sistemas não lineares." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305946.

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Orientadores: Márcia Aparecida Gomes Ruggiero, Sandra Augusta Santos<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-21T10:21:10Z (GMT). No. of bitstreams: 1 Begiato_RodolfoGotardi_D.pdf: 3815627 bytes, checksum: 59584610cfd737a94e68dc5bf3735e25 (MD5) Previous issue date: 2012<br>Resumo: O objetivo desta tese é tratar da resolução de sistemas não lineares de grande porte, em que as funções são continuamente diferenciáveis, por meio de uma abordagem híbrida que utiliza um método iterat
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Adámek, Daniel. "Automatická kalibrace robotického ramene pomocí kamer/y." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2019. http://www.nusl.cz/ntk/nusl-402130.

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K nahrazení člověka při úloze testování dotykových embedded zařízení je zapotřebí vyvinout komplexní automatizovaný robotický systém. Jedním ze zásadních úkolů je tento systém automaticky zkalibrovat. V této práci jsem se zabýval možnými způsoby automatické kalibrace robotického ramene v prostoru ve vztahu k dotykovému zařízení pomocí jedné či více kamer. Následně jsem představil řešení založené na estimaci polohy jedné kamery pomocí iterativních metod jako např. Gauss-Newton nebo Levenberg-Marquardt. Na konci jsem zhodnotil dosaženou přesnost a navrhnul postup pro její zvýšení.
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Bravenec, Ladislav. "Porovnání různých metod nelineárního výpočtu konstrukcí s hlediska rychlosti, přesnosti a robustnosti." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2013. http://www.nusl.cz/ntk/nusl-226458.

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The aim of the thesis is to compare the iterative methods which program RFEM 5 uses the non-linear calculations of structures, namely the analysis of large deformations and post critical analysis. Comparison should serve as a basis for which calculation method is the most accurate, fastest and most reliable in terms of getting results. Time-consuming will be judged according to the calculation of the solution and the time needed to compute one iterativ. Robustness we will compare the reliability of methods in in normal use. Accuracy of the calculation will be determined by comparing the maximu
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Books on the topic "Newton iterative method"

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Kelley, C. T. Solving nonlinear equations with Newton's method. Society for Industrial and Applied Mathematics, 2003.

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author, Solodov Mikhail V., ed. Newton-type methods for optimization and variational problems. Springer, 2014.

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Alexander, Daniel S. A history of complex dynamics: From Schröder to Fatou and Julia. F. Vieweg, 1994.

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Newton Methods. Nova Science Publishers, 2005.

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Argyros, Ioannis K. Convergence and Applications of Newton-type Iterations. Springer, 2010.

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Convergence and Applications of Newton-type Iterations. Springer, 2008.

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Kelley, C. T. Solving Nonlinear Equations with Newton's Method (Fundamentals of Algorithms). Society for Industrial Mathematics, 1987.

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Convergence of Newton's method for a single real equation. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1985.

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Institute for Computer Applications in Science and Engineering., ed. Krylov methods for compressible flows. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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1934-, Jameson Antony, and United States. National Aeronautics and Space Administration, eds. An multigrid LU-SSOR scheme for approximate Newton iteration applied to the Euler equations. National Aeronautics and Space Administration, 1986.

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Book chapters on the topic "Newton iterative method"

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Argyros, Ioannis K., and Á. Alberto Magrenan. "Generalized Newton method with applications." In Iterative Methods and Their Dynamics with Applications. CRC Press, 2017. http://dx.doi.org/10.1201/9781315153469-16.

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Argyros, Ioannis K., and A. Alberto Magrenan. "Robust convergence for inexact Newton method." In Iterative Methods and Their Dynamics with Applications. CRC Press, 2017. http://dx.doi.org/10.1201/9781315153469-7.

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Argyros, Ioannis K., and Á. Alberto Magreñán. "Gauss-Newton method with applications to convex optimization." In Iterative Methods and Their Dynamics with Applications. CRC Press, 2017. http://dx.doi.org/10.1201/9781315153469-18.

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Argyros, Ioannis K., and Á. Alberto Magrenan. "Inexact Gauss-Newton method for least square problems." In Iterative Methods and Their Dynamics with Applications. CRC Press, 2017. http://dx.doi.org/10.1201/9781315153469-8.

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Pareth, Suresan, and Santhosh George. "Projection Scheme for Newton-Type Iterative Method for Lavrentiev Regularization." In Eco-friendly Computing and Communication Systems. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32112-2_36.

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Argyros, Ioannis K., and Á. Alberto Magreñán. "Expanding the applicability of the Gauss-Newton method for convex optimization under restricted convergence domains and majorant conditions." In Iterative Methods and Their Dynamics with Applications. CRC Press, 2017. http://dx.doi.org/10.1201/9781315153469-20.

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Argyros, Ioannis K., and Á. Alberto Magreñán. "Local convergence and basins of attraction of a two-step Newton-like method for equations with solutions of multiplicity greater than one." In Iterative Methods and Their Dynamics with Applications. CRC Press, 2017. http://dx.doi.org/10.1201/9781315153469-5.

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Argyros, Ioannis K., and Á. Alberto Magreñán. "Directional Newton methods and restricted domains." In Iterative Methods and Their Dynamics with Applications. CRC Press, 2017. http://dx.doi.org/10.1201/9781315153469-19.

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Argyros, Ioannis K., and Á. Alberto Magreñán. "Newton-secant methods with values in a cone." In Iterative Methods and Their Dynamics with Applications. CRC Press, 2017. http://dx.doi.org/10.1201/9781315153469-17.

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Argyros, Ioannis K., and Á. Alberto Magreñán. "Generalized equations and Newton’s and method." In Iterative Methods and Their Dynamics with Applications. CRC Press, 2017. http://dx.doi.org/10.1201/9781315153469-11.

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Conference papers on the topic "Newton iterative method"

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Yin, Miao. "Newton iterative identification method for nonlinear systems." In 2021 IEEE 2nd International Conference on Big Data, Artificial Intelligence and Internet of Things Engineering (ICBAIE). IEEE, 2021. http://dx.doi.org/10.1109/icbaie52039.2021.9389925.

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Sideri, Athina, and Efstathios Stiliaris. "A Newton-Raphson Accelerated Iterative Reconstruction Method." In 2020 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE, 2020. http://dx.doi.org/10.1109/nss/mic42677.2020.9507867.

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Vestias, M´rio P., and Hor´cio C. Neto. "Revisiting the Newton-Raphson Iterative Method for Decimal Division." In 2011 International Conference on Field Programmable Logic and Applications (FPL). IEEE, 2011. http://dx.doi.org/10.1109/fpl.2011.33.

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Kang, Jingli, and Yaoguo Li. "Iterative learning control algorithm based on newton-projection method." In 2014 11th World Congress on Intelligent Control and Automation (WCICA). IEEE, 2014. http://dx.doi.org/10.1109/wcica.2014.7053412.

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Chen, Chang-New. "The Global Secant Relaxation-Based Accelerated Iteration Procedure for Solution of Nonlinear Finite Element Equation Systems of Offshore Structural Mechanics Problems." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-50170.

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A global secant relaxation (GSR)-based accelerated iteration scheme can be used to carry out the incremental/iterative solution of various nonlinear finite element systems of offshore structural mechanics problems. This computation procedure can overcome the possible deficiency of numerical instability caused by local failure existing in the iterative computation. Moreover, this method can efficiently accelerate the convergency of the iterative computation. This incremental/iterative analysis can consistently be carried out to update the response history up to a near ultimate load stage, which
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Lin, T., D. H. Owens, and J. Hatonen. "Newton-method based iterative learning control for sampled nonlinear systems." In The Fourth International Workshop on Multidimensional Systems - NDS 2005. IEEE, 2005. http://dx.doi.org/10.1109/nds.2005.195344.

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Davies, I. L., C. T. Freeman, P. L. Lewin, E. Rogers, and D. H. Owens. "Newton method based iterative learning control of the upper limb." In 2008 American Control Conference (ACC '08). IEEE, 2008. http://dx.doi.org/10.1109/acc.2008.4587100.

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Oliveri, Giacomo, Giovanni Bozza, Andrea Massa, and Matteo Pastorino. "Iterative multi scaling-enhanced Inexact Newton-method for microwave imaging." In 2010 IEEE International Symposium Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting. IEEE, 2010. http://dx.doi.org/10.1109/aps.2010.5561670.

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Geng, Zhiqiang, Chunyang Wei, Yongming Han, Qin Wei, and Zhi Ouyang. "Pipeline Network Simulation Calculation Based on Improved Newton Jacobian Iterative Method." In AICS 2019: 2019 International Conference on Artificial Intelligence and Computer Science. ACM, 2019. http://dx.doi.org/10.1145/3349341.3349405.

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Jingli, Kang, and Ren Chunming. "Iterative learning identification of time-varying parameter based on global newton method." In 2015 34th Chinese Control Conference (CCC). IEEE, 2015. http://dx.doi.org/10.1109/chicc.2015.7260131.

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Reports on the topic "Newton iterative method"

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Walker, H. F., and K. Turner. Newton iterative methods for large scale nonlinear systems. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/6518405.

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Walker, H. F., and K. Turner. Newton iterative methods for large scale nonlinear systems. Progress report, 1992--1993. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/10159427.

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Walker, H. F., and K. Turner. Newton iterative methods for large scale nonlinear systems. Final report, August 1992--July 1994. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/10117595.

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