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arXiv · 0709.2458

Positivity criteria generalizing the leading principal minors criterion

Vyacheslav Futorny·Vladimir V. Sergeichuk·Nadya Zharko
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Abstract

For each Hermitian matrix, we prove that instead of the leading principal minors some of their sums can be used in the leading principal minors criterion and in other inertia problems.

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Vyacheslav Futorny, Vladimir V. Sergeichuk, Nadya Zharko. 2007-09-16. Positivity criteria generalizing the leading principal minors criterion. https://doi.org/10.1007/s11117-006-2013-2

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