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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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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.
A S Vatsala
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Generalized Kleinman‐Newton method
SummaryThis 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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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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We consider a regularization method for nonlinear complementarity problems with F being a P0-function which replaces the original problem with a sequence of the regularized complementarity problems.
Jein-Shan Chen, Shaohua Pan
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Newton-type method for solving generalized inclusion
Numerical Algorithms, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paulo Sérgio Marques dos Santos +2 more
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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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