Pawel Zielinski and Krystyna Zietak
"The polar decomposition -  properties, applications and algorithms"

In the paper we review the numerical methods for computing the polar
decomposition of a matrix. Numerical tests comparing these methods
are included. Moreover, the applications of the polar decomposition and
the most important its properties are mentioned.

Keywords and phrases:
polar decomposition, singular value decomposition, complete orthogonal
decomposition, approximation of matrices, Procrustes problem,
matrix square root, matrix sign, optimal scaling, acceleration,
Schultz iteration, Newton's method