12 www.thelancetinfection.com Vol 11 January 2011 immediately. Moreover, caution should be taken when results of MRSA cultures are interpreted. In the absence of quantitative cultures, only bacteraemic episodes, or positive cultures from sites that are normally sterile, would be defi nite evidence for infection. Pseudomonas aeruginosa was even slightly higher in communityacquired than in hospit...

We propose a matrix approach to the computation of Battle-Lemari e's wavelets. Since the Fourier transform of the scaling function is the product of the inverse F(x) of a square root of a positive trigonometric polynomial and the Fourier transform of a b-spline of order m. The polynomial is the symbol of an bi-innnite matrix B associated with b-spline of order 2m. We approximate B 2m by its nit...

We show how one may obtain polar decomposition as well as inversion of xed and time-varying matrices using a class of nonlinear continuous-time dynamical systems. First we construct a dynamic system that causes an initial approximation of the inverse of a time-varying matrix to ow exponentially toward the true time-varying inverse. Using a time-parameterized homotopy from the identity matrix to...

This paper presents an e cient iterative scheme for the generalized Stokes problem, which arises frequently in the simulation of time-dependent Navier-Stokes equations for incompressible uid ow. The general form of the linear system is A B B 0 ! u p ! = f 0 ! (1) where A = M + T is an n n symmetric positive de nite matrix, in which M is the mass matrix, T is the discrete Laplace operator, and a...

"We define and investigate a class of positive de nite kernel so called equivalent-kernel. We formulate prove an analogous Paley-Wiener theorem in the context definite kernel. The main ingredient proof is Kolmogorov decomposition. Finally, some applications to stochastic processes are given."

We present full discretization of the telegraph equation with nonlocal coeffecient using Rothe-nite element method. For solving numerically we use Newton Raphson method, but term causes diffeculties because Jacobien matrix is full. To remedy these apply technique used by Sudhakar [4]. The optimal a priori error estimates for both semi discrete and fully schemes are derived in V H1 numerical exp...

Simulating ow in porous media requires the solution of elliptic or parabolic partial diierential equations. When the computational domain is irregularly shaped, applying nite element methods with triangular elements ooers great exibility. The mixed nite element method has proven useful for solving ow equations. The diiculty with mixed methods in general is in solving the linear algebraic system...

The ductile fracture of crystalline materials is a classical subject in mechanics of materials which still presents important challenges. It is driven by the process of growth and coalescence of voids and thus calls for constitutive models of the plastic response of porous crystalline materials. In this context, the consideration of the anisotropy, related to the single crystal response and the...

For partitions of f1; : : : ; ng, the classes of P -matrices are de ned, unifying the classes of the real P -matrices and of the real positive de nite matrices. Lyapunov scalar stability of matrices is de ned and characterized, and it is shown also that every real Lyapunov -scalar stable matrix is a P -matrix. Implication relations between Lyapunov scalar stability and H-stability are discussed.

A novel method for computing the minimal eigenvalue of a symmetric positive deenite Toeplitz matrix is presented. Similarly to the algorithm of Cybenko and Van Loan it is a combination of bisection and a root nding method. Both phases of the method are accelerated considerably by rational Hermite interpolation of the secular equation. For randomly generated test problems of dimension 800 the av...