Geodesic
Explicit polar decomposition of companion matrices
The electronic journal of linear algebra, Tome 1 (1996), pp. 64-69.

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

Summary: An explicit formula for the polar decomposition of an n $\Theta n$ nonsingular companion matrix is derived. The proof involves the largest and smallest singular values of the companion matrix.
Classification : 15A23, 15A18
Keywords: companion matrices, polar decomposition, singular values $AMS(MOS)$ subject 
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     author = {van den Driessche, Pauline and Wimmer, Harald K.},
     title = {Explicit polar decomposition of companion matrices},
     journal = {The electronic journal of linear algebra},
     pages = {64--69},
     publisher = {mathdoc},
     volume = {1},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_1996__1__a0/}
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van den Driessche, Pauline; Wimmer, Harald K. Explicit polar decomposition of companion matrices. The electronic journal of linear algebra, Tome 1 (1996), pp. 64-69. http://geodesic.mathdoc.fr/item/ELA_1996__1__a0/