Editing Polar decomposition (section)

== References ==
{{reflist|refs=
<ref name="higham1986">
{{cite journal
 |last        = Higham
 |first       = Nicholas J.
 |title       = Computing the polar decomposition with applications
 |journal     = SIAM J. Sci. Stat. Comput.
 |volume      = 7
 |number      = 4
 |year        = 1986
 |issn        = 0196-5204
 |pages       = 1160–1174
 |doi         = 10.1137/0907079
 |citeseerx   = 10.1.1.137.7354
 |publisher   = Society for Industrial and Applied Mathematics
 |location    = Philadelphia, PA, USA
 }}
</ref>
<ref name="higham1990">
{{cite journal
 |last1       = Higham
 |first1      = Nicholas J.
 |last2       = Schreiber
 |first2      = Robert S.
 |title       = Fast polar decomposition of an arbitrary matrix
 |journal     = SIAM J. Sci. Stat. Comput.
 |volume      = 11
 |number      = 4
 |year        = 1990
 |issn        = 0196-5204
 |pages       = 648–655
 |doi         = 10.1137/0911038
 |citeseerx   = 10.1.1.111.9239
 |publisher   = Society for Industrial and Applied Mathematics
 |location    = Philadelphia, PA, USA
 |s2cid       = 14268409
 }}
</ref>
<ref name="byers2008">
{{cite journal
| last=Byers | first=Ralph |author2=Hongguo Xu
| title=A New Scaling for Newton's Iteration for the Polar Decomposition and its Backward Stability
| journal=SIAM J. Matrix Anal. Appl.
| volume=30
| number = 2
| year = 2008
| issn = 0895-4798
| pages = 822–843
| doi = 10.1137/070699895
| publisher = Society for Industrial and Applied Mathematics
| location = Philadelphia, PA, USA
| citeseerx=10.1.1.378.6737
}}
</ref>
}}

* {{cite book
 |author-link=John B. Conway
 |last=Conway
 |first=J. B.
 |title=A Course in Functional Analysis
 |series=[[Graduate Texts in Mathematics]]
 |place=New York
 |publisher=Springer
 |year=1990
 |doi=10.1007/978-1-4757-4383-8
}}
* {{cite journal
 |author-link=Ronald G. Douglas
 |last=Douglas
 |first=R. G.
 |title=On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
 |journal=[[Proceedings of the American Mathematical Society|Proc. Amer. Math. Soc.]]
 |volume=17
 |pages=413–415
 |year=1966
 |doi=10.1090/S0002-9939-1966-0203464-1
}}
* {{cite book
 |first=Brian C.
 |last=Hall
 |title=Lie Groups, Lie Algebras, and Representations: An Elementary Introduction
 |edition=2nd
 |series=Graduate Texts in Mathematics
 |volume=222
 |publisher=Springer
 |year=2015
 |isbn=978-3319134666}}
* {{cite book
 |first=Sigurdur
 |last=Helgason
 |authorlink=Sigurdur Helgason (mathematician)
 |title=Differential geometry, Lie groups, and symmetric spaces
 |year=1978
 |publisher=Academic Press
 |isbn= 0-8218-2848-7
}}

{{Functional Analysis}}
{{SpectralTheory}}

[[Category:Lie groups]]
[[Category:Operator theory]]
[[Category:Matrix theory]]
[[Category:Matrix decompositions]]