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Title: On the matrices of central linear mappings (English)
Author: Havlicek, Hans
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 121
Issue: 2
Year: 1996
Pages: 151-156
Summary lang: English
Category: math
Summary: 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 $\ge2m-n+1$. This matrix is arising, by a simple manipulation, from a matrix describing the given mapping in terms of homogeneous Cartesian coordinates. (English)
Keyword: linear mapping
Keyword: axonometry
Keyword: singular values
MSC: 15A18
MSC: 51N05
MSC: 51N15
MSC: 51N20
MSC: 68U05
idZBL: Zbl 0863.51020
idMR: MR1400607
DOI: 10.21136/MB.1996.126103
Date available: 2009-09-24T21:17:39Z
Last updated: 2020-07-29
Stable URL:
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