Title: A Combinatorial Interpretation of the LDU-Decomposition of Totally Positive Matrices and their Inverses

Abstract: In this talk we explore the combinatorial description of the LDU-decomposition of totally positive matrices. A description of the lower triangular L, the diagonal D and the upper triangular U matrices of the LDU-decomposition of totally positive matrices in terms of the combinatorial structure of essential planar networks is provided. Similarly, we give a combinatorial description of the inverses of the aforementioned matrices. Lastly, we provide recursive formulae for computing the L, D, and U matrices of a totally positive matrix.

When: 
Tuesday, 25 December, 2018 - 13:00 to 14:00
Where: 

Yeditepe University, Physics & Mathematics Seminar Room.

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