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Critical points of matrix least squares distance functions. (English) Zbl 0816.15026
The authors determine the critical points and the local minimum of the Frobenius distance function \(\| A - X \|^ 2\) on varieties of fixed rank symmetric, skew-symmetric, and rectangular matrices \(X\).

MSC:
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
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