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

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: 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 ...

from sage.arith.misc import (hilbert_symbol, sage: MM = Q.is_globally_equivalent_to(Q1, return_matrix=True) # needs sage.libs.pari sage: Q(MM) == Q1 # needs sage.libs.pari ...

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 ...

A previous paper by Shan and Connor (Phys. Chem. Chem. Phys. 2011, 13, 8392) reported the surprising result that four simple parametrized S matrices can reproduce the forward-angle glory scattering of ...