In this paper the conjugate gradient (CG) method is employed for identifying the parameters of crack in a functionally graded beam from natural frequency measurement. The crack is modeled as a massless rotational spring with sectional flexibility. By using the Euler-Bernoulli beam theory on two separate beams respectively and applying the compatibility requirements of the crack, the characteris...

background and objective: escherichia coli o157:h7, an emerging pathogen, causes severe enteritis and the extraintestinal complication of hemolytic-uremic syndrome. the goal of this study was to evaluate the conjugate of e. coli o157: h7 lipopolysaccharide (lps) with diphtheria toxoid (dt) as a candidate vaccine in mice model. material and methods: lps from e. coli o157:h7 was extracted by hot ...

In this paper we present a fast iterative image superresolution algorithm using preconditioned conjugate gradient method. To avoid explicitly computing the tolerance in the inverse filter based preconditioner scheme, a new Wiener filter based preconditioner for the conjugate gradient method is proposed to speed up the convergence. The circulant-block structure of the preconditioner allows effic...

The method of conjugate gradients (CG) is widely used for the iterative solution of large sparse systems of equations Ax = b, where A ∈ R is symmetric positive definite. Let xk denote the k–th iterate of CG. This is a nonlinear differentiable function of b. In this paper we obtain expressions for Jk, the Jacobian matrix of xk with respect to b. We use these expressions to obtain bounds on ∥Jk∥2...

An adaptive multi-scale conjugate gradient method for distributed parameter estimations (or inverse problems) of wave equation is presented. The identification of the coefficients of wave equations in two dimensions is considered. First, the conjugate gradient method for optimization is adopted to solve the inverse problems. Second, the idea of multi-scale inversion and the necessary conditions...

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Harri Hakula, Tri Quach, Antti Rasila Name of the publication Conjugate function method for numerical conformal mappings Publisher School of Science Unit Department of Mathematics and Systems Analysis Series Aalto University publication series SCIENCE + TECHNOLOGY 21/2011 Field of research Abstract We present a method for nume...

We still need to show that the directions p0, p1, . . . , pn−1 generated by Algorithms 1 and (2) are conjugate wrt A. If so, then by Theorem 11.3, this algorithm will terminate in n steps. The next theorem shows this property, along with two other important properties: (i) the residuals ri are mutually orthogonal, and (ii) each pk and rk is contained in the Krylov subspace of degree k for r0, d...

This paper analyzes a linear discriminant subspace technique from an L1 point of view. We propose an efficient and optimal algorithm that addresses several major issues with prior work based on, not only the L1 based LDA algorithm but also its L2 counterpart. This includes algorithm implementation, effect of outliers and optimality of parameters used. The key idea is to use conjugate gradient t...