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Description: |
A variation on the classical field of values recently arose in numerical analysis. Instead of one matrix, it is a function of two, in which each set element is a ratio of Hermitian quadratic forms at the same vector, as the vectors run over the unit sphere. In the denominator is a matrix without 0 in its field. This summer this set was studied for its own sake, by a small research group, including the speaker, in William and Mary's REU program. This lead to a number of very interesting and subtle results. We survey the properties found and compare them to further generalizations of the usual field.
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Date: |
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| Start Time: |
15:00 |
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Speaker: |
Charles R. Johnson (College of William and Mary, USA)
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Institution: |
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| Research Groups: |
-Algebra and Combinatorics
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See more:
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<Main>
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