On the Rate of Superlinear Convergence of a Class of Variable Metric Methods.
On the rational recursive sequence
The main objective of this paper is to study the boundedness character, the periodicity character, the convergence and the global stability of positive solutions of the difference equation where the coefficients for and , are positive integers. The initial conditions are arbitrary positive real numbers such that . Some numerical experiments are presented.
On the Recursive Estimation of the Location and of the Size of the Mode of a Probability Density
2000 Mathematics Subject Classification: 62G07, 62L20.Tsybakov [31] introduced the method of stochastic approximation to construct a recursive estimator of the location q of the mode of a probability density. The aim of this paper is to provide a companion algorithm to Tsybakov's algorithm, which allows to simultaneously recursively approximate the size m of the mode. We provide a precise study of the joint weak convergence rate of both estimators. Moreover, we introduce the averaging principle...
On the reduction of a Hamiltonian matrix to Hamiltonian Schur form.
On the reduction of a random basis
For p ≤ n, let b1(n),...,bp(n) be independent random vectors in with the same distribution invariant by rotation and without mass at the origin. Almost surely these vectors form a basis for the Euclidean lattice they generate. The topic of this paper is the property of reduction of this random basis in the sense of Lenstra-Lenstra-Lovász (LLL). If is the basis obtained from b1(n),...,bp(n) by Gram-Schmidt orthogonalization, the quality of the reduction depends upon the sequence of ratios...
On the Reduction of Holt's Problem to a Finite Interval.
On the regular solutions for some classes of Navier-Stokes equations
On the regularity and non-regularity of elliptic and parabolic systems
On the regularity for 2nd order nonlinear elliptic systems
On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems
On the Regularization of Projection Methods for Solving Ill-Posed Problems.
On the Relation Between Algebraic Stability and B-Convergence for Runge-Kutta Methods.
On the Relation between Quadratic Termination and Convergence Properties of Minimization Algorithms. Part II. Applications.
On the Relation between Quadratic Termination and Convergence Properties of Minimization Algorithms. Part I. Theory.
On the relation between the AINV and the FAPINV algorithms.
On the relationship between difference and projection-difference methods
On the relationship between quasi-affine systems and the à trous algorithm.
We seek to demonstrate a connection between refinable quasi-affine systems and the discrete wavelet transform known as the à trous algorithm. We begin with an introduction of the bracket product, which is the major tool in our analysis. Using multiresolution operators, we then proceed to reinvestigate the equivalence of the duality of refinable affine frames and their quasi-affine counterparts associated with a fairly general class of scaling functions that includes the class of compactly supported...
On the Remez Algorithm for Non-linear Families.
On the representation of functions and finite difference operators on adaptive dyadic grids.
On the representation of trajectories of bilinear systems and its applications