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International Journal of Engineering, Mathematical and Physical Sciences

ISSN: 2517-9934

Total 66 content found

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Unsupervised Segmentation by Hidden Markov Chain with Bi-dimensional Observed Process

Year: 2011 Volume: 5 Issue: 12 1816 - 1825 Pages

Abstract: In unsupervised segmentation context, we propose a bi-dimensional hidden Markov chain model (X,Y) that we adapt to the image segmentation problem. The bi-dimensional observed process Y = (Y 1, Y 2) is such that Y 1 represents the noisy image and Y 2 represents a noisy supplementary information on the image, for example a noisy proportion of pixels of the same type in a neighborhood of the current pixel. The proposed model can be seen as a competitive alternative to the Hilbert-Peano scan. We propose a bayesian algorithm to estimate parameters of the considered model. The performance of this algorithm is globally favorable, compared to the bi-dimensional EM algorithm through numerical and visual data.

Some Third Order Methods for Solving Systems of Nonlinear Equations

Year: 2011 Volume: 5 Issue: 12 1808 - 1815 Pages

Abstract: Based on Traub-s methods for solving nonlinear equation f(x) = 0, we develop two families of third-order methods for solving system of nonlinear equations F(x) = 0. The families include well-known existing methods as special cases. The stability is corroborated by numerical results. Comparison with well-known methods shows that the present methods are robust. These higher order methods may be very useful in the numerical applications requiring high precision in their computations because these methods yield a clear reduction in number of iterations.

Two Fourth-order Iterative Methods Based on Continued Fraction for Root-finding Problems

Year: 2011 Volume: 5 Issue: 12 1804 - 1807 Pages

Abstract: In this paper, we present two new one-step iterative methods based on Thiele-s continued fraction for solving nonlinear equations. By applying the truncated Thiele-s continued fraction twice, the iterative methods are obtained respectively. Analysis of convergence shows that the new methods are fourth-order convergent. Numerical tests verifying the theory are given and based on the methods, two new one-step iterations are developed.

An Adequate Choice of Initial Sample Size for Selection Approach

Year: 2011 Volume: 5 Issue: 12 1799 - 1803 Pages

Abstract: In this paper, we consider the effect of the initial sample size on the performance of a sequential approach that used in selecting a good enough simulated system, when the number of alternatives is very large. We implement a sequential approach on M=M=1 queuing system under some parameter settings, with a different choice of the initial sample sizes to explore the impacts on the performance of this approach. The results show that the choice of the initial sample size does affect the performance of our selection approach.

Bootstrap and MLS Methods-based Individual Bioequivalence Assessment

Year: 2011 Volume: 5 Issue: 12 1796 - 1798 Pages

Abstract: It is a one-sided hypothesis testing process for assessing bioequivalence. Bootstrap and modified large-sample(MLS) methods are considered to study individual bioequivalence(IBE), type I error and power of hypothesis tests are simulated and compared with FDA(2001). The results show that modified large-sample method is equivalent to the method of FDA(2001) .

A Preliminary Study on the Eventual Positivity of Irreducible Tridiagonal Sign Patterns

Year: 2011 Volume: 5 Issue: 12 1792 - 1795 Pages

Abstract: Motivated by Berman et al. [Sign patterns that allow eventual positivity, ELA, 19(2010): 108-120], we concentrate on the potential eventual positivity of irreducible tridiagonal sign patterns. The minimal potential eventual positivity of irreducible tridiagonal sign patterns of order less than six is established, and all the minimal potentially eventually positive tridiagonal sign patterns of order ยท 5 are identified. Our results indicate that if an irreducible tridiagonal sign pattern of order less than six A is minimal potentially eventually positive, then A requires the eventual positivity.