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Volume 6, Issue 3, Article 78 |
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Newton's Inequalities for Families of Complex Numbers
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Authors: |
Vladimir V. Monov, |
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Keywords:
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Elementary symmetric functions, Newton's inequalities, Nonnegative matrices. |
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Date Received:
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02/06/05 |
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Date Accepted:
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20/06/05 |
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Subject Codes: |
26C10, 26D05.
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Editors: |
Constantin P. Niculescu, |
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Abstract: |
We prove an extension of Newton's inequalities for self-adjoint families of complex numbers in the half plane  The connection of our results with some inequalities on eigenvalues of nonnegative matrices is also discussed.
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