%0 Journal Article
%T A combinatorial interpretation of the LDU-decomposition of totally positive matrices and their inverses
%A El-Sissi
%A Nermine
%A ElGebali
%A Muhammad
%J -
%D 2018
%R 10.3336/gm.53.1.05
%X Sa£żetak We study the combinatorial description of the LDU-decomposition of totally positive matrices. We give 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 described by Fomin and Zelevinsky [5]. Similarly, we find a combinatorial description of the inverses of these matrices. In addition, we provide recursive formulae for computing the L, D, and U matrices of a totally positive matrix
%K Totally positive matrices
%K LDU factorization
%K planar networks
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=297047