On the periodic quotient singular value decomposition.
On the Poisson difference distribution inference and applications.
On the positivity of certain Cotes numbers.
On the positivity of ultraspherical type quadrature formulas with Jacobi abscissas.
On the possibility of calculation of zero points of solutions of differential equations of the second order
On the Possibility of Two-Sided Error Bounds in the Numerical Solution of Initial Value Problems.
On the preconditioned biconjugate gradients for solving linear complex equations arising from finite elements
The paper analyses the biconjugate gradient algorithm and its preconditioned version for solving large systems of linear algebraic equations with nonsingular sparse complex matrices. Special emphasis is laid on symmetric matrices arising from discretization of complex partial differential equations by the finite element method.
On the probability model for solving some integral equations of second type
On the pseudoinverse of a sum of symmetric matrices with applications to estimation
On the Quadratic Convergence of the Special Cyclic Jacobi Method.
On the quadrature error in operational quadrature methods for convolutions.
On the question of enclosing solutions of linear functional-differential systems.
On the randomized complexity of Banach space valued integration
We study the complexity of Banach space valued integration in the randomized setting. We are concerned with r times continuously differentiable functions on the d-dimensional unit cube Q, with values in a Banach space X, and investigate the relation of the optimal convergence rate to the geometry of X. It turns out that the nth minimal errors are bounded by if and only if X is of equal norm type p.
On the rate of convergence of a collocation projection of the KdV equation
Based on estimates for the KdV equation in analytic Gevrey classes, a spectral collocation approximation of the KdV equation is proved to converge exponentially fast.
On the rate of convergence of difference schemes for the heat transfer equation on the solutions from
On the rate of convergence of sequential unconstrained minimization techniques
On the Rate of Convergence of the Preconditioned Conjugate Gradient Method.
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...