On the singularity of random matrices with independent entries - Mathematics > ProbabilityReportar como inadecuado




On the singularity of random matrices with independent entries - Mathematics > Probability - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We consider n by n real matrices whose entries are non-degenerate randomvariables that are independent but non necessarily identically distributed, andshow that the probability that such a matrix is singular is O1-sqrt{n}. Thepurpose of this note is to provide a short and elementary proof of this factusing a Bernoulli decomposition of arbitrary non degenerate random variables.



Autor: Laurent Bruneau, Francois Germinet

Fuente: https://arxiv.org/







Documentos relacionados