Low-rank matrix approximations over canonical subspaces
In this paper we derive closed form expressions for the nearest rank-\(k\) matrix on canonical subspaces. We start by studying three kinds of subspaces. Let \(X\) and \(Y\) be a pair of given matrices. The first subspace contains all the \(m\times n\) matrices \(A\) that satisfy \(AX=O\). The...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2020-09-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
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| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1195 |