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Meetings of the St. Petersburg Mathematical Society
February 15, 2001, St. Petersburg
 

Mathematical Lectorium for Students


Criterion of complete positivity

S. V. Fominab

a St. Petersburg Institute for Informatics and Automation of RAS
b University of Michigan, USA

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Abstract: The topic is matrices with all minors positive. The description of the set of such matrices, criteria of complete positivity, an answer of the question how can one quickly detect this property, relation to combinatorics of pseudo-lines in the plane, and applications, some open problems.
 
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