Fast Polar Decomposition Of A sTrAnGe Square Matrix - Help

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Fast Polar Decomposition Of A sTrAnGe Square Matrix --!!Help!!

Homework Statement



| 2 0 4 |
| 0 1 0 | = A
| 3 0 2 |


Calculate the Polar Decomposition of A: [tex]A = LP[/tex]

[tex]L =^{t}L > 0[/tex] L is symmetric and positive defined

[tex] P^{t}P = I[/tex]

[tex]^{t}P=P^{-1}[/tex] P is an isometry: Transpose of P is egual to P^-1


Is there a quick way to do this?????
I know how to do it but is very slow, and I think that must exists a quick way or some tricks to resolve the exercise, infact as you can see the matrix is very particular...

Help Me please....Tnx
 

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