Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.  

We propose an efficient implementation of the Octagon Abstract Domain (OAD) on Graphics Processing Unit (GPU) by exploiting stream processing to speed-up OAD computations. OAD is a relational numerical abstract domain which approximates invariants as conjunctions of constraints of the form ±x±y <= c, where x and y are program variables and c is a constant which can be an integer, rational or re...

A novel block diagonalisation (BD)-based Multiuser multiple input multiple output (MU-MIMO)-aided relaying scheme is proposed for downlink transmissions, which does not require any channel state information at the base station (BS) and decomposes a MU-MIMO-aided relaying system into several parallel single-user MIMO-assisted relaying schemes. Furthermore, based on the proposed algorithm the opt...

In this paper we consider the following robust twoblock problem that arises in est,imation and in fullinformation control: minimize the worst-case H” norm of a two-block transfer matrix whose elements contain H”-norm-bounded modeling errors. We show that, when the underlying systems are single-input/singleoutput, and if the modeling errors are “small enough”, then t,he robust, two-block problem...

in this paper, the numerical technique based on hybrid bernoulli and block-pulse functions has been developed to approximate the solution of system of linear volterra integral equations. system of volterra integral equations arose in many physical problems such as elastodynamic, quasi-static visco-elasticity and magneto-electro-elastic dynamic problems. these functions are formed by the hybridi...

In this paper we consider systolic programs of the most common DSP (convolution, FIR, IIR, FFT) and Matrix (multiplication, triangularisation, linear equation solving, modified Faddeev algorithm) algorithms, executed on systolic arrays of various topologies (linear, 2D mesh, hexagonal). We examine the algorithm-specific parameters (number of I/O paths, unit delays) and program-dependent paramet...

purpose: to compare intraocular pressure (iop) readings measured by the ocular response analyzer (ora) with those measured by the goldmann applanation tonometer (gat) in keratoconic eyes following penetrating keratoplasty (pkp) and to evaluate the influence of anatomical and biomechanical properties of the grafts on iop measurements. methods: this cross-sectional study was conducted on 45 kerat...