Results 251 to 260 of about 12,439,103 (299)

Generalized equations and the generalized Newton method

Mathematical Programming, 1996
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Livinus U Uko
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A Modified Generalized Newton Method for Absolute Value Equations

Journal of Optimization Theory and Applications, 2016
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Cui-Xia Li
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On Newton's method for solving generalized equations

Journal of Complexity, 2023
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Orizon P. Ferreira, Célia Jean-Alexis, Alain Piétrus, Gilson N. Silva   +3 more
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Generalized Kleinman‐Newton method

Optimal Control Applications and Methods, 2018
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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Newton-type method for solving generalized inclusion

Numerical Algorithms, 2021
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Paulo Sérgio Marques dos Santos, Gilson N. Silva, Roberto Cristóvão Mesquita Silva   +2 more
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GENERALIZATIONS OF NEWTON'S METHOD

Fractals, 2001
We 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, 2007
The 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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Generalized Newton method with applications

2017
In this chapter we are interested in the approximately solving the generalized equation: Find x ∈ H such that 0 ∈ F(x) + T(x). (16.1) where F : H → H is a Fr→chet differentiable function, H is a Hilbert space and T : H ⇉ H is a set valued maximal monotone operator.
Argyros, Ioannis K, Magreñán, Á. Alberto   +1 more
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Generalized equations and Newton’s and method

2017
In [18], G. S. Silva considered the problem of approximating the solution of the generalized equation F(x)+Q(x) ϶ 0,(11.1) where F : D → H is a Fréchet differentiable function, H is a Hilbert space with inner product ⟨., .⟩ and corresponding norm ||.||, D ⊆ H an open set and T : H ⇉ H is set-valued and maximal monotone. It is well known that the system
Argyros, Ioannis K, Magreñán, Á. Alberto   +1 more
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Newton's Method for a Generalized Inverse Eigenvalue Problem

Numerical Linear Algebra with Applications, 1997
A family of matrices \(A(c)\) and \(B(c)\) dependent on a vector \(c=(c_1,\dots,c_n)\in \Omega \subset \mathbb R^n\) is introduced, \(A(c)=A_0+\sum_{k=1}^n c_kA_k\), \(B(c)=B_0+\sum_{k=1}^n c_kB_k\), \(B(c)>0\), where \(A_k,B_k\), \(k=0,\dots n\), are given real symmetric matrices.
Hua Dai, Peter Lancaster
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