Stylometry is the study of the computational and mathematical properties of style. The aim of a stylometrist is to derive stylometrics and models based upon those metrics to quantitatively gauge stylistic propensities. This paper presents a method of formulating a stylistic distance function via a weighted ratio of lexical stylometrics, the higher the ratio the more the styles diverge. The coef...

We consider the generalized airfoil equation in the situation where the index of the problem is −1. We periodize the problem, then discretize it by a fully discrete version of the trigonometric collocation method and apply the conjugate gradient method to solve the discretized problem. The approximate solution appears to be of optimal accuracy in a scale of Sobolev norms, and the N parameters o...

An algorithm is being presented for a special class of unconstrained minimization problems. The algorithm exploits the special structure of the Hessian in the problems under consideration, It is based on applying Bertsekas' I-1] Scaled Partial Conjugate Gradient method with respect to a metric that is updated by the Rank One update, using gradients obtained in the preceeding steps. Two classes ...

Sensitivity analysis on Sea Surface Temperature: SST estimation with Thermal Infrared Radiometer: TIR data through simulations is conducted. Also Conjugate Gradient Method: CGM based SST estimation method is proposed. SST estimation error of the proposed CGM based method is compared to the conventional Split Window Method: SWM with a variety of conditions including atmospheric models. The resul...

In conjugate gradient method, it is well known that the recursively computed residual differs from true one as the iteration proceeds in finite arithmetic. Some work have been devoted to analyze this be-havior and to evaluate the lower and the upper bounds of the difference. This paper focuses on the behavior of these two kinds of residuals, especially their lower bounds caused by the loss of t...

and Applied Analysis 3 By Lemmas 4 and 5, we have Lemma 6. Lemma 6. Suppose that Assumption 3 holds, αk is determined by (9), and we get

Conjugate gradient methods are probably the most famous iterative methods for solving large scale optimization problems in scientific and engineering computation, characterized by the simplicity of their iteration and their low memory requirements. In this paper, we propose a new conjugate gradient method which is based on the MBFGS secant condition by modifying Perry’s method. Our proposed met...

Several 2nd order nodal and edge elements have been applied in a potential formulation to solve 3D eddy current problems. The asymmetry of the facet related functions in the edge element basis is discussed. A new basis is proposed. Application of a gauge condition for the uniqueness of vector potential is cumbersome in the case of high order elements. This work shows that the system converges w...

Article history: Received 25 June 2014 Received in revised form 14 January 2015 Accepted 13 February 2015 Available online 19 February 2015