A trace bound for integer-diagonal positive semidefinite matrices
We prove that an n-by-n complex positive semidefinite matrix of rank r whose graph is connected, whose diagonal entries are integers, and whose non-zero off-diagonal entries have modulus at least one, has trace at least n + r − 1.
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-01-01
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| Series: | Special Matrices |
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| Online Access: | https://doi.org/10.1515/spma-2020-0002 |