The solution of orthogonal Procrustes problems for a family of orthogonally invariant norms
The solution of orthogonal Procrustes problems for a family of orthogonally invariant norms
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一族正交不变范数的正交 Procrustes 问题的解
DOI：
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发表时间：
1994
影响因子：
1.7
通讯作者：
G. Watson
中科院分区：
文献类型：
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作者：
G. Watson
正交procbenius问题涉及寻找一个正交矩阵，该矩阵将一个给定矩阵以最小二乘的方式变换为另一个给定矩阵，因此它要求Frobenius矩阵范数的最小化。我们考虑了包含Frobenius范数作为特例的一类正交不变范数的解。
The orthogonal Procrustes problem involves finding an orthogonal matrix which transforms one given matrix into another in the least-squares sense, and thus it requires the minimization of the Frobenius matrix norm. We consider, the solution of this problem for a family of orthogonally invariant norms which includes the Frobenius norm as a special case.