Abstract: In this correspondence, the densities of quadratic forms on complex random matrices and their joint eigenvalue densities are derived for applications to information theory. These densities ...

You are already quite familiar with the linear form of a matrix. The *linear form of a matrix* is simply a linear mapping of that matrix. In scalar algebraic notation, we might write: f(x) = a_1x_1 + ...

The paper provides significant simplifications and extensions of results obtained by Gorsich, Genton, and Strang (J. Multivariate Anal. 80 (2002) 138) on the structure of spatial design matrices.

Several areas of regression analysis involve the evaluation of quadratic forms of the matrix (X'X)-1. This article draws these areas together and shows how a technique due to Salkever (1976) can be ...

Abstract: This paper establishes an analytical framework for the performance analysis of multiple-input/multiple output (MIMO) systems subject to cochannel interference and operating over fading ...

This is an (unfinished) algorithm of diagonalization of quadratic form matrices. Intented as an exercice larening about bilinear and quadratic forms in an algebra course. The program can diagonalize ...

The Canadian Journal of Statistics / La Revue Canadienne de Statistique Necessary and sufficient conditions are given for the covariance structure of all the observations in a multivariate factorial ...

The current attempt is aimed to extend previous results, concerning the explicit expression of the arithmetic mean standard deviation distribution, to the general case of the weighted mean standard ...