Geodesic
An optimum iteration for the matrix polar decomposition
Electronic transactions on numerical analysis, Tome 8 (1999), pp. 21-25.

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

Summary: It is shown that an acceleration parameter derived from the Frobenius norm makes Newton's iteration for the computation of the polar decomposition optimal and monotonic in norm. A simple machine-independent stopping criterion ensues. These features are extended to Gander's formulas for full-rank rectangular matrices.
Classification : 65F30, 65F35
Keywords: matrix polar decomposition, Newton iteration 
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     author = {Dubrulle, A.A.},
     title = {An optimum iteration for the matrix polar decomposition},
     journal = {Electronic transactions on numerical analysis},
     pages = {21--25},
     publisher = {mathdoc},
     volume = {8},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1999__8__a8/}
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Dubrulle, A.A. An optimum iteration for the matrix polar decomposition. Electronic transactions on numerical analysis, Tome 8 (1999), pp. 21-25. http://geodesic.mathdoc.fr/item/ETNA_1999__8__a8/