关于Kronecker平方根的一点注记
A Short Note on Kronecker Square Roots
摘要:
[1]的结果。Ojeda,Amer. Math. Monthly,122,pp 60- 64]根据块向量矩阵(重排矩阵)的对称性和秩提供了矩阵的克罗内克平方根的特征。在这个简短的说明中,我们只考虑块向量矩阵的替代方案,重新制定了在秩方面的特征,前提是基础字段的特征不等于2。
英文摘要:
The results of [I. Ojeda, Amer. Math. Monthly, 122, pp 60--64] provides a characterization of Kronecker square roots of matrices in terms of the symmetry and rank of the block vec matrix (rearrangement matrix). In this short note we reformulate the characterization in terms of rank only by considering an alternative to the block vec matrix, provided that the characteristic of the underlying field is not equal to 2.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。