Geodesic
On the matrices of central linear mappings
Mathematica Bohemica, Tome 121 (1996) no. 2, pp. 151-156
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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.
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.
DOI : 10.21136/MB.1996.126103
Classification : 15A18, 51N05, 51N15, 51N20, 68U05
Keywords: linear mapping; axonometry; singular values 
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Havlicek, Hans. On the matrices of central linear mappings. Mathematica Bohemica, Tome 121 (1996) no. 2, pp. 151-156. doi: 10.21136/MB.1996.126103

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