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A Density Functional Theory and Semiempirical Framework for Trajectory Surface Hopping on Extended Systems. [PDF]
Vogt JR +7 more
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Semi-Analytical Investigation into the Balanced Performance of Thick-Walled Fiber-Reinforced Flexible Pipes. [PDF]
You J, Zhao Y, Zhang B.
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Moment Estimation in Paired Comparison Models with a Growing Number of Subjects. [PDF]
Wang Q, Pan L, Yan T.
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Generalized quasilinearization versus Newton’s method
Applied Mathematics and Computation, 2005The authors compare the classical Newton method for finding roots of a single algebraic equation of the form \(f(x)=0\) to quasilinearization methods with a view to bracket the root of the nonlinear algebraic equation in intervals of decreasing lengths, which converge quadratically on the root.
V. Lakshmikantham, Aghalaya S. Vatsala
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Generalized equations and the generalized Newton method
Mathematical Programming, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Livinus U Uko
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A generalized Newton method for absolute value equations
Optimization Letters, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
O L Mangasarian
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On Newton's method for solving generalized equations
Journal of Complexity, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Orizon P. Ferreira +3 more
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Generalized Kleinman‐Newton method
Optimal Control Applications and Methods, 2018SummaryThis paper addresses the general problem of optimal linear control design subject to convex gain constraints. Classical approaches based exclusively on Riccati equations or linear matrix inequalities are unable to treat problems that incorporate feedback gain constraints, for instance, the reduced‐order (including static) output feedback control
José C. Geromel, Grace S. Deaecto
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GENERALIZATIONS OF NEWTON'S METHOD
Fractals, 2001We give a survey of the complex dynamics of various generalizations of Newton's method for finding a complex root of a polynomial of a single variable.
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JULIA SETS OF GENERALIZED NEWTON'S METHOD
Fractals, 2007The Julia sets theory of generalized Newton's method is analyzed and the Julia sets of generalized Newton's method are constructed using the iteration method. From the research we find that: (1) the basins of attraction of the Julia sets of generalized Newton's method depend on the roots of the equation and their orders and also the existence of the ...
Wang, Xingyuan, Wang, Tingting
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