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Polar decomposition of an invertible real matrix
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Area of mathematics
Algebra
Linear algebra
Quadratic form
Positive semidefinite matrix
Principal square root of a positive semidefinite matrix
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Words: 23
Every invertible real matrix has the polar decomposition
M
=
RP
,
P
=
M
T
M
,
R
=
M
P
−
1
,
(165)
where
P
is symmetric positive definite and
R
is orthogonal.
Ancestors
(8)
Principal square root of a positive semidefinite matrix
Positive semidefinite matrix
Quadratic form
Linear algebra
Algebra
Area of mathematics
Mathematics
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