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Hadamard Square Roots

Authors: Marvin Marcus; Markus Sandy;

Hadamard Square Roots

Abstract

If A is an n-square positive semidefinite Hermitian matrix of rank 1, then the Hadamard square root of A is the n-square matrix obtained by replacing each entry of A by the principal value of its square root. It is proved that if A has no zero or negative entries, then the Hadamard square root has odd rank and all odd ranks are possible.

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Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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