Results 71 to 80 of about 2,835 (158)

The Fréchet–Newton Scheme for SV-HJB: Stability Analysis via Fixed-Point Theory

open access: yesAxioms
This paper investigates the optimal portfolio control problem under a stochastic volatility model, whose dynamics are governed by a highly nonlinear Hamilton–Jacobi–Bellman equation.
Mehran Paziresh   +2 more
doaj   +1 more source

Newton's method in Riemannian manifolds

open access: yesJournal of Numerical Analysis and Approximation Theory, 2008
Using more precise majorizing sequences than before [1], [8], and under the same computational cost, we provide a finer semilocal convergence analysis of Newton's method in Riemannian manifolds with the following advantages: larger convergence domain ...
Ioannis K. Argyros
doaj   +2 more sources

Convergence analysis for the two-step Newton method of order four

open access: yesJournal of Numerical Analysis and Approximation Theory, 2014
We provide a tighter than before convergence analysis for the two-step Newton method of order four using recurrent functions. Numerical examples are also provided in this study.
Ioannis K. Argyros, Sanjay K. Khattri
doaj   +2 more sources

The Newton?Kantorovich method under mild differentiability conditions and the Pt�k error estimates

open access: yesMonatshefte f�r Mathematik, 1990
We study the Newton-Kantorovich method under mild differentiability conditions. Using Zabrejko-Nguen assumptions we extend and improve error estimates obtained before by \textit{P. P. Zabrejko} and \textit{D. F. Nguen} [Numer. Funct. Anal. Optimization 9, 671-684 (1987; Zbl 0627.65069)], \textit{H. B. Keller} [unpublished manuscript (1965)], \textit{J.
openaire   +1 more source

Approximating solutions of equations using Newton's method with a modified Newton's method iterate as a starting point

open access: yesJournal of Numerical Analysis and Approximation Theory, 2007
In this study we are concerned with the problem of approximating a locally unique solution of an equation in a Banach space setting using Newton's and modified Newton's methods. We provide weaker convergence conditions for both methods than before [6]-[8]
Ioannis Argyros
doaj   +2 more sources

Network extraction by routing optimization. [PDF]

open access: yesSci Rep, 2020
Baptista D   +4 more
europepmc   +1 more source

Optimal transport analysis reveals trajectories in steady-state systems. [PDF]

open access: yesPLoS Comput Biol, 2021
Zhang S   +4 more
europepmc   +1 more source

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