On the matrices of central linear mappings
Mathematica Bohemica (1996)
- Volume: 121, Issue: 2, page 151-156
- ISSN: 0862-7959
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topHavlicek, Hans. "On the matrices of central linear mappings." Mathematica Bohemica 121.2 (1996): 151-156. <http://eudml.org/doc/247956>.
@article{Havlicek1996,
abstract = {We show that a central linear mapping of a projectively embedded Euclidean $n$-space onto a projectively embedded Euclidean $m$-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 $\ge 2m-n+1$. This matrix is arising, by a simple manipulation, from a matrix describing the given mapping in terms of homogeneous Cartesian coordinates.},
author = {Havlicek, Hans},
journal = {Mathematica Bohemica},
keywords = {linear mapping; axonometry; singular values; linear mapping; axonometry; singular values},
language = {eng},
number = {2},
pages = {151-156},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the matrices of central linear mappings},
url = {http://eudml.org/doc/247956},
volume = {121},
year = {1996},
}
TY - JOUR
AU - Havlicek, Hans
TI - On the matrices of central linear mappings
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 2
SP - 151
EP - 156
AB - We show that a central linear mapping of a projectively embedded Euclidean $n$-space onto a projectively embedded Euclidean $m$-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 $\ge 2m-n+1$. This matrix is arising, by a simple manipulation, from a matrix describing the given mapping in terms of homogeneous Cartesian coordinates.
LA - eng
KW - linear mapping; axonometry; singular values; linear mapping; axonometry; singular values
UR - http://eudml.org/doc/247956
ER -
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