Positive semidefinite matrices with a given sparsity pattern
Positive semidefinite matrices with a given sparsity pattern
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DOI：
10.1016/0024-3795(88)90240-6
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发表时间：
1988-08
影响因子：
1.1
通讯作者：
J. Agler;W. Helton;S. McCullough;L. Rodman
中科院分区：
文献类型：
--
作者：
J. Agler;W. Helton;S. McCullough;L. Rodman
本文讨论了在给定元素中有零点的半正定矩阵的锥。其中一个主要目的是获得信息，如果可能的话，描述的外部矩阵在这种锥的规定的零模式的秩。特别地，我们研究了那些模式的极值矩阵的秩小于一个给定的数字。
This paper concerns the cone of positive semidefinite matrices which have zeros in prescribed entries. One of the main purposes is to obtain information and, if possible, describe the ranks of external matrices in such cones in terms of the pattern of prescribed zeros. In particular, we study those patterns for which the ranks of extremal matrices are less than a given number.