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 $prec_b$.

for an n-by-n complex matrix a in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of a. in this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine ...

Reliability evaluation of a large-scale composite power system faces to numerous events/outage and consequently imposes an extensive burden of calculations. In order to simplify the problem, determination of an equivalent system for large-scale power system is inevitable. This paper proposes a framework as reduction technique to separate a composite power system to three areas: external area, o...

Polarimetric synthetic aperture radar (POLSAR) systems provide high resolution images containing polarimetric information. So, they have capability in land cover classification. In this work, a binary coding-based polarimetric-morphological (BCPM) feature extraction is proposed for POLSAR image At first, set of features proposed. Then, new morphological framework introduced contextual from the ...

would like to thank Mark Watson for correcting a mistake in his summary of Cantor’s argument. 1A note on citations: Mises’s article appeared in German in 1920. An English translation, “Economic Calculation in the Socialist Commonwealth,” appeared in Hayek’s (1990) collection Collectivist Economic Planning in 1935. 2The current paper assumes a basic familiarity with the socialist calculation deb...

spatial distribution of electric field amplitude has an essential role in laser-induced damagemulti-layer coating. a new method introduced in this paper to reduce the electric field intensityeffectively within the high index layers in multi-layer reflectors that are irradiated by high power lasers.the design is based on specific non-quarter wave pairs, assuming the number of layers is held cons...

For a nonstationary random process, the dual-time correlation function and the dual frequency Loéve spectrum are complete theoretical descriptions of second-order behavior. That is, each may be used to synthesize the random process itself, according to the Cramér–Loève spectral representation. When suitably transformed on one of its two variables, each of these descriptions produces a time-vary...

of thesis entitled Passivity Assessment and Model Order Reduction for Linear Time-Invariant Descriptor Systems in VLSI Circuit Simulation Submitted by Zheng ZHANG for the degree of Master of Philosophy at the University of Hong Kong in June 2010 This thesis presents some theoretical and numerical results for linear time-invariant (LTI) descriptor systems (DSs), with emphasis on their correspond...

We have developed a three level implicit method for solution of the Helmholtz equation. Using the cubic spline in space and finite difference in time directions. The approach has been modied to drive Numerov type nite difference method. The method yield the tri-diagonal linear system of algebraic equations which can be solved by using a tri-diagonal solver. Stability and error estimation of the...