Inequalities for partial determinants of accretive block matrices
Abstract Let A = [ A i , j ] i , j = 1 m ∈ M m ( M n ) $A=[A_{i,j}]^{m}_{i,j=1}\in \mathbf{M}_{m}(\mathbf{M}_{n})$ be an accretive block matrix. We write det1 and det2 for the first and second partial determinants, respectively. In this paper, we show that ∥ det 1 ( Re A ) ∥ ≤ ∥ ( tr ( | A | ) m ) m...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-08-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-03008-x |