Category:Polar Decompositions
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This category contains results about Polar Decompositions.
Definitions specific to this category can be found in Definitions/Polar Decompositions.
Let $\mathbf A$ be a square matrix over the complex numbers.
A polar decomposition of $\mathbf A$ is a factorization of $\mathbf A$ in the form:
- $\mathbf A = \mathbf {U H}$
where:
- $\mathbf U$ is a unitary matrix
- $\mathbf H$ is a Hermitian matrix with non-negative eigenvalues.
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