Results 251 to 260 of about 11,812,491 (293)

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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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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Generalized Nash equilibrium problems and Newton methods

Mathematical Programming, 2007
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Francisco Facchinei, Andreas Fischer 0004, Veronica Piccialli   +2 more
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Remarks on the generalized Newton method

Mathematical Programming, 1993
Let \(H\) be a Hilbert space, \(f: H\to H\) a continuously Gâteaux differentiable function and \(g: H\to H\) a multivalued mapping. For the numerical solution of the problem \(f(u)+ g(u)\ni 0\), the generalized Newton method \(u_{n+1}= (f'(u_ n)+ g)^{-1}(f'(u_ n)[u_ n]- f(u_ n))\) is considered. For the case when \(g\) is the subdifferential mapping of
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Generalized Newton-iterative method for semismooth equations

Numerical Algorithms, 2011
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Zhe Sun, Jinping Zeng, Hongru Xu
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A generalized Newton–Raphson method using curvature

Communications in Numerical Methods in Engineering, 1995
AbstractA numerical method for finding the roots of any function is developed. This method considers a circle using the concept of curvature instead of the tangential line in the Newton‐Raphson method. The compared results between the proposed method and the Newton‐Raphson method are listed.
Lee, IW Lee, In Won, JUNG, GH JUNG, GH
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Spurious singularities in the generalized Newton variational method

Physical Review A, 1991
The generalized Newton variational method is applied to the static-exchange approximation of the electron--hydrogen-atom scattering. Slater-type basis functions are employed to expand the amplitude density. Spurious singularities are encountered in both scattering processes.
, Apagyi, , Lévay, , Ladányi
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Convergence of inexact Newton methods for generalized equations

Mathematical Programming, 2013
For general inclusions of the form ``zero is contained in \(f(x) + F(x)\)'', where \(f\) is a smooth function and \(F\) a set-valued mapping both acting between Banach spaces, the authors study local properties of inexact Newton methods. As main results they get conditions such that the considered iteration sequences have ``no halt'', that means they ...
Asen L. Dontchev, R. Tyrrell Rockafellar
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