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Description: |
An n-by-n, entry-wise nonnegative matrix is called an inverse
M-matrix (IM) if it is invertible and its inverse has nonpositive
off-diagonal entries. An irreducible IM amtrix is necessarily entry-wise
positive. Both M-matrices and IM matrices arise in a wide
array of applications, including to other parts of mathematics. It is
known that an IM matrix is a (strict) path-product matrix (to be defined
in talk), but not conversely. In general, recognition of IM matrices is
delicate. We discuss a number of recent results relating path-product
matrices and IM matrices, with emphasis on Hadamard powers of IM matrices.
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Date: |
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| Start Time: |
14:45 |
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Speaker: |
Charles R. Johnson (College of William and Mary, Williamsburg,USA)
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Place: |
5.5
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| Research Groups: |
-Algebra and Combinatorics
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See more:
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