We investigate the expressive power of MATLANG, a formal language for matrix manipulation based on common matrix operations and linear algebra. The language can be extended with the operation inv of inverting a matrix. In MATLANG + inv we can compute the transitive closure of directed graphs, whereas we show that this is not possible without inversion. Indeed we show that the basic language can...

Deformations in handwritten characters have category-dependent tendencies. In this paper, the estimation and the utilization of such tendencies called eigen-deformations are investigated for the better performance of elastic matching based handwritten character recognition. The eigen-deformations are estimated by the principal component analysis of actual deformations automatically collected by...

We survey and extend the recent progress in polynomial root-finding based on reducing the problem to eigen-solving for highly structured generalized companion matrices. In particular we cover the selection of the eigen-solvers and the matrices and the resulting benefits based on exploiting matrix structure. No good estimates for global convergence of the basic eigen-solvers have been proved, bu...

By introducing the generalized master function of order up to four together with corresponding weight function, we have obtained all quasi-exactly solvable second order differential equations. It is shown that these differntial equations have solutions of polynomial type with factorziation properties, that is polynomial solutions Pm(E) can be factorized in terms of polynomial Pn+1(E) for m ≥ n+...

This search engine allows users to quickly obtain information from networks. Traditional search engines can only search the data of modal characters. To solve this problem, Image Comparison Search Engine (ICSE) makes use of “Fractal Image processing “to create a database using image Eigen values. When a user input is an image query, this system will generate image Eigen value data, compare this...

This paper mainly discusses the stable gesture classification criteria, which can identify several human motions from a sequence of images with the eigen space method. We have already proposed the gesture classification technique with the silhouette images and the PCA method, which includes the difficulty in the correspondence between two sets of eigen points, i.e. dictionary and input sequence...

The first part of the dissertation investigates the application of the theory of large random matrices to high-dimensional inference problems when the samples are drawn from a multivariate normal distribution. A longstanding problem in sensor array processing is addressed by designing an estimator for the number of signals in white noise that dramatically outperforms that proposed by Wax and Ka...

Rotors with high gyroscopic effects and low resonance frequencies caused by the blade wheel (blade frequencies) can lead to stabilization problems in the application field of turbomolecular pumps. If such a rotor is stabilized by active magnetic bearings, the control structure could be destabilized by the splitting up of the rigid body eigen-frequencies caused by the gyroscopic effect. The cont...

There are many trials for modeling of the quarkonium systems like (cc-,bb-andb-c). One them is using phenomenological potentials by different techniques to describe their spectroscopy. In present work we choose a potential (linear, Yukawa and harmonic potentials) in framework nonrelativistic Schrödinger’s equation with relativistic corrections Nikiforov-Uvarov (NU) method. We obtained eigen fun...

the purpose of this research was market segmentation of sport tourism in iran for foreign tourists and modeling a target market. a questionnaire including 53 items was developed by researchers. the validity and reliability of the questionnaire were examined and approved (?=0.93). it was distributed among 710 international participants from 35 countries attending fajr international sports event ...