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 + ...

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 ...

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.

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 ...

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

Consider a mapping $F: \mathbf{R}^n \rightarrow \mathbf{R}^3 (n \geqslant 3)$ defined by an ordered triple of real-valued quadratic forms; if some linear combination ...

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 ...

Research in neuroscience has seen a recent trend toward the extension of receptive field (RF) estimation techniques and theoretical principles from linear to non-linear models. This development has ...

Training and Research Unit/Sciences and Technology, University of Ouahigouya, Mèra, Burkina Faso. Quadratic forms are used in many fields of mathematics: different results for the classification of ...