Results 41 to 50 of about 1,995 (109)

Positive Polynomials on Riesz Spaces

, 2016
We prove some properties of positive polynomial mappings between Riesz spaces, using finite difference calculus. We establish the polynomial analogue of the classical result that positive, additive mappings are linear.
Cruickshank, James, Loane, John, Ryan, Raymond A.   +2 more
core   +1 more source

A modified Newton-secant method for solving nonsmooth generalized equations

Mathematical Modelling and Analysis
In this paper, we study the solvability of nonsmooth generalized equations in Banach spaces using a modified Newton-secant method, by assuming a Hölder condition.
Vitaliano de Sousa Amaral, Paulo Sérgio Marques dos Santos, Gilson N. Silva, Sissy Souza   +3 more
doaj   +1 more source

Computation of maximal local (un)stable manifold patches by the parameterization method

, 2015
In this work we develop some automatic procedures for computing high order polynomial expansions of local (un)stable manifolds for equilibria of differential equations.
Breden, Maxime, James, Jason D. Mireles, Lessard, Jean-Philippe   +2 more
core   +1 more source

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

Axioms
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, Karim Ivaz, Mariyan Milev   +2 more
doaj   +1 more source

Smooth backfitting in generalized additive models

, 2007
Generalized additive models have been popular among statisticians and data analysts in multivariate nonparametric regression with non-Gaussian responses including binary and count data.
Mammen, Enno, Park, Byeong U., Yu, Kyusang   +2 more
core   +2 more sources

Iterative Methods for Nonlinear Equations or Systems and Their Applications 2014

, 2014
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014.
Juan R. Torregrosa, Ioannis K. Argyros, Changbum Chun, Alicia Cordero, Fazlollah Soleymani   +4 more
wiley   +1 more source

On approximating the solutions of equations by the chord method and a method of Aitken-Steffensen type

Journal of Numerical Analysis and Approximation Theory, 2013
In [13] we have studied the existence and the convergence of iterative methods that use generalized abstract divided differences (this notion being defined there). We have indicated a construction model for these differences as well.
Adrian Diaconu
doaj   +2 more sources

Functional Differential and Difference Equations with Applications 2013

, 2014
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
J. Diblík, E. Braverman, I. Györi, Yu. Rogovchenko, M. Růžičková, A. Zafer   +5 more
wiley   +1 more source

On the solution of generalized equations and variational inequalities

Cubo, 2011
Uko and Argyros provided in [18] a Kantorovich-type theorem on the existence and uniqueness of the solution of a generalized equation of the form 𝓕 (𝓤)+ 𝓖(𝓤) ∋ 0, where f is a Fréchet-differentiable function, and g ...
Ioannis K Argyros, Saïd Hilout
doaj  

On the comparison of a weak variant of the Newton–Kantorovich and Miranda theorems

Journal of Computational and Applied Mathematics, 2004
The author [J. Comput. Appl. Math. 157, 169--185 (2003; Zbl 1030.65060)] has shown a semi-local convergence theorem under weaker assumptions than those of the Newton-Kantorovich theorem. Operators satisfying the weakened Newton-Kantorovich conditions are shown to satisfy the conditions of the weakened Miranda theorem.
openaire   +2 more sources