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Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Roots Of Nonlinear Equations (G.1.5)
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1-10 of 68
Reviews about "Roots Of Nonlinear Equations (G.1.5)":
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A convergence analysis of the inexact simplified Jacobi--Davidson algorithm for polynomial eigenvalue problems
Zhao T. Journal of Scientific Computing 75(3): 1207-1228, 2018. Type: Article
Sleijpen and van der Vorst introduced the Jacobi--Davidson (JD) method [1] to find eigenvalues in the interior of the spectrum of a real or complex large and sparse matrix. For generalized eigenvalue problems, Sleijpen et al. ...
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Dec 20 2018 |
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 Computing real roots of real polynomials
Sagraloff M., Mehlhorn K. Journal of Symbolic Computation 73(C): 46-86, 2016. Type: Article
The computation of roots of a univariate polynomial is the most classical task in computational algebra. Since this problem arises in very many applications, plenty of techniques for its solution have been proposed. In this paper, Sagr...
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Dec 1 2015 |
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Algorithm 954: an accurate and efficient cubic and quartic equation solver for physical applications
Flocke N. ACM Transactions on Mathematical Software 41(4): 1-24, 2015. Type: Article
Flocke developed an algorithm for obtaining all the zeros of cubic and quartic polynomials. The key to accuracy is scaling the polynomials so that all coefficients in absolute value are bounded by unity. A recent book by Boyd [1] conta...
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Dec 1 2015 |
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A simple and efficient method with high order convergence for solving systems of nonlinear equations
Xiao X., Yin H. Computers & Mathematics with Applications 69(10): 1220-1231, 2015. Type: Article
Efficient methods for the solution of n-dimensional systems of nonlinear equations are critical for numerous applications. For the system F(x) = 0, the well-known Newton̵...
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Sep 30 2015 |
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Solving transcendental equations: the Chebyshev polynomial proxy and other numerical rootfinders, perturbation series, and oracles
Boyd J., SIAM, Philadelphia, PA, 2014. 480 pp. Type: Book (978-1-611973-51-8)
Transcendental functions are functions that cannot be expressed by simple polynomials. Examples of transcendental functions include the exponential function, the trigonometric functions, and their inverses. Given a transcendental funct...
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Sep 8 2015 |
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Recipes for continuation
Dankowicz H., Schilder F., Society for Industrial and Applied Mathematics, Philadelphia, PA, 2013. 600 pp. Type: Book (978-1-611972-56-6)
Dankowicz and Schilder state that the objective of this book “is to present the mathematical methodology known as parameter continuation in a context of a treatment that lends equal importance to the theoretical rigor, algori...
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Sep 11 2013 |
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Nonclassical mathematical model in geoinformatics to solve dynamic problems for nonequilibrium nonisothermal seepage fields
Bulavatsky V. Cybernetics and Systems Analysis 47(6): 898-906, 2011. Type: Article
In the modern age of sustainability, computational studies have become key players in the optimal protection of the environment. In particular, mathematical models that describe the dynamic behavior of complex seepage processes play a ...
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Mar 27 2012 |
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The stochastic root-finding problem: overview, solutions, and open questions
Pasupathy R., Kim S. ACM Transactions on Modeling and Computer Simulation 21(3): 1-23, 2011. Type: Article, Reviews: (2 of 2)
This paper describes the general stochastic approximation problem: find the solutions of the nonlinear equations g(x)=0, x ∈ D, where the function
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Nov 2 2011 |
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The stochastic root-finding problem: overview, solutions, and open questions
Pasupathy R., Kim S. ACM Transactions on Modeling and Computer Simulation 21(3): 1-23, 2011. Type: Article, Reviews: (1 of 2)
Both application- and theory-oriented scientists are familiar with the root-finding problem. The scientific literature is not only rich in original proposals and tutorials, but also in excellent books--Pasupathy and Kim mentio...
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May 27 2011 |
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On Newton-type methods for multiple roots with cubic convergence
Homeier H. Journal of Computational and Applied Mathematics 231(1): 249-254, 2009. Type: Article
Solving nonlinear equations having multiple zeros is important for both theory and applications. This paper proposes new iterative schemes applied to real or complex functions of a single real or complex variable with a zero of order <...
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Feb 16 2010 |
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