We describe an algorithm for radial layout of undirected graphs, in which nodes are constrained to the circumferences of a set of concentric circles around the origin. Such constraints frequently occur in the layout of social or policy networks, when structural centrality is mapped to geometric centrality, or when the primary intention of the layout is the display of the vicinity of a distingui...

A majorization relating the singular values of an oo-diagonal block of a Hermitian matrix and its eigenvalues is obtained. This basic majorization inequality implies various new and existing results.

This paper presents majorization results for PH-generators. Based on the majorization results, bounds on the moments and Laplace-Stieltjes transforms of phase-type distributions are found. Exponential distributions and Coxian distributions are identified to be extremal PH-distributions with respect to all the moments and Laplace-Stieltjes transforms for certain subsets of PH-distributions. UN C...

We study the conceptmatrix majorization: for two real matrices A and B having m rows we say that A majorizes B if there is a row-stochastic matrix X with AX = B. A special case is classical notion of vector majorization. Several properties and characterizations of matrix majorization are given. Moreover, interpretations of the concept in mathematical statistics are discussed and some combinator...

X iv :m at h/ 06 10 33 0v 1 [ m at h. C V ] 1 0 O ct 2 00 6 From miranda Tue Oct 10 09:42:48 2006 Return-Path: ¡[email protected]¿ Received: miranda@localhost) by coxeter.math.toronto.edu (AIX5.2/8.11.6p2/8.11.0/UTMath 1.0) id k9ADgmn118742; Tue, 10 Oct 2006 09:42:48 -0400 Date: Tue, 10 Oct 2006 09:42:48 -0400 From: Miranda Tang ¡[email protected] Message-Id: ¡200610101342.k9ADgmn118742...

PURPOSE The purpose of this study was to determine whether citizens with language impairment understand legal rights as conveyed in Miranda warnings. METHOD Grisso's Instruments for Assessing Understanding and Appreciation of Miranda Rights (1998) was administered to 34 young adults, half of whom met the diagnostic criteria for specific language impairment (SLI). A correlational analysis of t...

In this paper we study the concept of Latin-majorizati-\on. Geometrically this concept is different from other kinds of majorization in some aspects. Since the set of all $x$s Latin-majorized by a fixed $y$ is not convex, but, consists of union of finitely many convex sets. Next, we hint to linear preservers of Latin-majorization on $ mathbb{R}^{n}$ and ${M_{n,m}}$.

in this paper we study the concept of latin-majorizati-on. geometrically this concept is different from other kinds of majorization in some aspects. since the set of all $x$s latin-majorized by a fixed $y$ is not convex, but, consists of :union: of finitely many convex sets. next, we hint to linear preservers of latin-majorization on $ mathbb{r}^{n}$ and ${m_{n,m}}$.

let a and b be n × m matrices. the matrix b is said to be g-row majorized (respectively g-column majorized) by a, if every row (respectively column) of b, is g-majorized by the corresponding row (respectively column) of a. in this paper all kinds of g-majorization are studied on mn,m, and the possible structure of their linear preservers will be found. also all linear operators t : mn,m ---> mn...

We propose two numerical methods, namely the block relaxation and majorization method, for the problem of nearest correlation matrix with factor structure, which is highly nonconvex. In the block relaxation method, the subproblem is of the standard trust region problem, which is solved by Steighaug’s truncated conjugate gradient method or by the trust region method of [21]. In the majorization ...