The index of matrix A in Cn.n is equivalent to the dimension of largest Jor-dan block corresponding to the zero eigenvalue of A. In this paper, indicialequations and normal equations for solving inconsistent singular linear systemof equations are investigated.

Cadastral space may be the object of legal, geometric and topological analyses. Topological aspects, which are least recognized by the users, are deployed by IT specialists in the process of developing analytical applications. This study attempts to analyze the theoretical aspects of cadastral-topological space. Algebraic topology delivers a new approach by using a single mathematical formula t...

In this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional Volterra-Fredholm integro-differential equations. Here, we use the so-called two-dimensional block-pulse functions.First, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. Then, by using this matrices, the nonlinear two-dimensional Vol...

Let $mathbf{c}_0$ be the real vector space of all real sequences which converge to zero. For every $x,yin mathbf{c}_0$, it is said that $y$ is block diagonal majorized by $x$ (written $yprec_b x$) if there exists a block diagonal row stochastic matrix $R$ such that $y=Rx$. In this paper we find the possible structure of linear functions $T:mathbf{c}_0rightarrow mathbf{c}_0$ preserving $prec_b$.

In this paper, we present a reliable and accurate low computational complexity classifier for a fence intrusion detection sensor. The sensor, a standalone perimeter security sensor, classifies six different types of intrusion attempts on chain-link fences. The designed classifier, a dynamic sequence analyzer followed by a static classifier, obtains more than 95 percent accuracy in intrusion cla...

purpose : to present the clinical features, biomechanical properties and management of a patient who developed unilateral corneal ectasia after photorefractive keratectomy (prk) case report : the patient was a 24-year-old man without any obvious preoperative risk factor for ectasia who underwent bilateral prk. four years after keratorefractive surgery, the patient presented with loss of visual ...

A fast solution algorithm is proposed for solving block banded block Toeplitz systems with non-banded Toeplitz blocks. The algorithm constructs the circulant transformation of a given Toeplitz system and then by means of the Sherman-Morrison-Woodbury formula transforms its inverse to an inverse of the original matrix. The block circulant matrix with Toeplitz blocks is converted to a block diago...