On the Matrices of Central Linear Mappings
Algebraic Geometry
2012-10-09 v1
Abstract
We show that a central linear mapping of a projectively embedded Euclidean -space onto a projectively embedded Euclidean -space is decomposable into a central projection followed by a similarity if, and only if, the least singular value of a certain matrix has multiplicity . This matrix is arising, by a simple manipulation, from a matrix describing the given mapping in terms of homogeneous Cartesian coordinates.
Cite
@article{arxiv.1210.1922,
title = {On the Matrices of Central Linear Mappings},
author = {Hans Havlicek},
journal= {arXiv preprint arXiv:1210.1922},
year = {2012}
}