A norm inequality for positive block matrices

作者：Lin, Minghua^*

来源：Comptes Rendus Mathematique, 2018, 356(7): 818-822.

DOI：10.1016/j.crma.2018.05.006

Any positive matrix M = (M-i,M- j)(i, j=1)(m) with each block M-i,M- j square satisfies the symmetric norm inequality parallel to M parallel to <= parallel to Sigma(m)(i=1) M-i,M- i + Sigma(m-1)(i=1)omega I-i parallel to, where omega i(i = 1,..., m-1). involving the width of numerical ranges. This extends the main Mhanna (2017) [4] to a higher number of blocks.

• 出版日期2018-7
• 单位上海大学