On an argument of J.--F. Cardoso dealing with perturbations of joint diagonalizers
arXiv:1103.3670 · doi:10.2306/scienceasia1513-1874.2012.38.401
Abstract
B. Afsari has recently proposed a new approach to the matrix joint diagonalization, introduced by J.--F. Cardoso in 1994, in order to investigate the independent component analysis and the blind signal processing in a wider prospective. Delicate notions of linear algebra and differential geometry are involved in the works of B. Afsari and the present paper continues such a line of research, focusing on a theoretical condition which has significant consequences in the numerical applications.
9 pages; the published version contains significant revisions (suggested by the referees)