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Subspaces that minimize the condition number of a matrix
Matrix the condition number subspace subspace
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2015/8/10
We define the condition number of a nonsingular matrix on a subspace, and consider the problem of finding a subspace of given dimension that minimizes the condition number of a given matrix. We give a...
ON MATRIX UNITARILY INVARIANT NORM CONDITION NUMBER
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2007/12/11
In this paper, the unitarily invariant norm $\|\cdot\|$ on $\BC^{m\times
n}$ is used. We first discuss the problem under what case, a
rectangular matrix $A$ has minimum condition number $K (A)=\| A ...