A note on joint diagonalizers of shear matrices

Francesco G. Russo

ABSTRACT: The matrix joint diagonalization is a fundamental notion for studying the blind signal processing and the independent component analysis. We reformulate some classical results on the topic in terms of shear matrices. These matrices appear naturally in differential geometry and group theory and the present paper deals with certain perturbations of joint diagonalizers for which the knowledge of shear matrices is crucial.

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DIEETCAM, Universitá Degli Studi di Palermo, Viale Delle Scienze, Edificio 8, 90128, Palermo, Italy

* Corresponding author, E-mail: francescog.russo@yahoo.com

Received 16 Sep 2012, Accepted 14 Nov 2012