On an argument of J.--F. Cardoso dealing with perturbations of joint diagonalizers
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Publication:6224245
DOI10.2306/SCIENCEASIA1513-1874.2012.38.401arXiv1103.3670MaRDI QIDQ6224245
Publication date: 18 March 2011
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.
Factorization of matrices (15A23) Inequalities involving eigenvalues and eigenvectors (15A42) Multilinear algebra, tensor calculus (15A69) Sensitivity analysis for optimization problems on manifolds (49Q12)
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