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On the relative extrema of a linear combination of elementary symmetric functions |
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| Authors: | Thomas H Foregger |
| Institution: | 1. A. T &2. T Bell Laboratories , Warren, New Jersey, 07060-0908 |
| Abstract: | We determine where a linear combination of elementary symmetric functions attains as maximum and minimum over a certain convex set in Rn . We also show that an inequality for elementary symmetric functions proposed by S. Pierce is true. |
| Keywords: | Numerical range normal matrix convex matrix eigenvalues |