The eigenvalues of a symmetric matrix depend on the matrix nons-moothly. This paper describes the nonsmooth analysis of these eigen-values. In particular, I present a simple formula for the approximate (limiting Fr echet) subdiierential of an arbitrary function of the eigen-values, subsuming earlier results on convex and Clarke subgradients. As an example I compute the subdiierential of the k't...

In this paper, buckling of orthotropic rectangular plates under different loadings was investigated. For this reason, governing buckling equations for an isotropic plate were modified by applying constitutive equations of orthotropic materials. After obtaining the equations of orthotropic plates, Generalized Differential Quadrature method (GDQM) was applied on buckling equations and thus a set ...

In this paper, buckling of orthotropic rectangular plates under different loadings was investigated. For this reason, governing buckling equations for an isotropic plate were modified by applying constitutive equations of orthotropic materials. After obtaining the equations of orthotropic plates, Generalized Differential Quadrature method (GDQM) was applied on buckling equations and thus a set ...

Many advanced techniques are being developed for Power Systems Stability Assessment. We can use Eigen value techniques for the purpose of increasing the calculation performance of eigen-algorithms for Power System Small Signal Stability Analysis. Firstly, we introduce a bulge chasing algorithm called the BR algorithm which is a novel and efficient method to find all Eigen values of upper Hessen...

In this Paper, a novel approach based on Cuckoo search optimization, with dominant eigen value shift for designing robust decentralized load frequency control system for interconnected power system is presented. A proportional integral – derivative (PID) controller is considered to exemplify the optimum parameter search. To demonstrate the robustness of the obtained controller, a two-area non r...

An effort has been made to test the potential of principal component analysis (PCA) method for quantifying and classifying the ultrasound kidney images. For our analysis two different classes of kidney images namely normal (NR) and medical renal diseases (MRD) are considered. The eigen values and vectors are derived for a set of 40 images. The weight vectors (WV) are estimated from the obtained...

Corners in images represent a lot of important information. Extracting corners accurately is significant to image processing, which can reduce much of the calculations. In this paper, three widely used corner detection algorithms, FAST (Features from Accelerated Segment Test), Eigen Value and Harris corner detection algorithms which are all based on intensity, were compared in stability, noise ...

Detection of shot boundaries in a video has been an active for quite a long time, t ill the TRECVID community almost declared it as a solved problem. A problem is assumed to be solved when there is no significant improvement being achieved from that of the state-of-the art methodologies. However, certain aspects can still be researched and improved. For instance, finding appropriate parameters ...