Yeditepe University General Seminars

A Combinatorial Interpretation of the LDU-Decomposition of Totally Positive Matrices and their Inverses
Nermine El Sissi
The American University in Cairo, Egypt
Özet : 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.
  Tarih : 25.12.2018
  Saat : 13:00
  Yer : Yeditepe Üniversitesi, Matematik Bölümü (Seminer odası)
  Dil : English