Geodesic
Numerical canonical factorization algorithms and their application
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 339-354

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A study is made of numerical algorithms for canonical factorization, of two types: a) polar decomposition of an arbitrary bounded operator in $H$-space, and b) factorization of an operator-valued function of the unilateral shift operator in the space $l_2$. 
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     author = {R. P. Tarasov},
     title = {Numerical canonical factorization algorithms and their application},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {339--354},
     publisher = {mathdoc},
     volume = {30},
     number = {3},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a0/}
}
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R. P. Tarasov. Numerical canonical factorization algorithms and their application. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 339-354. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a0/