Geodesic
Explicit polar decomposition of complex matrices
The electronic journal of linear algebra, Tome 18 (2009), pp. 693-699.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In [F. Uhlig, Explicit polar decomposition and a near-characteristic polynomial: The $2 \times 2$ case, Linear Algebra Appl., 38:239-249, 1981], the author gives a representation for the factors of the polar decomposition of a nonsingular real square matrix of order 2. Uhlig's formulae are generalized to encompass all nonzero complex matrices of order 2 as well as all order n complex matrices with rank at least n - 1.
Classification : 15A23
Keywords: polar decomposition 
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     author = {Horn, Roger A. and Piazza, Giuseppe and Politi, Tiziano},
     title = {Explicit polar decomposition of complex matrices},
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Horn, Roger A.; Piazza, Giuseppe; Politi, Tiziano. Explicit polar decomposition of complex matrices. The electronic journal of linear algebra, Tome 18 (2009), pp. 693-699. http://geodesic.mathdoc.fr/item/ELA_2009__18__a8/