# Fast Polar Decomposition Of A sTrAnGe Square Matrix - Help

1. Sep 14, 2008

### emlio

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

1. The problem statement, all variables and given/known data

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

Calculate the Polar Decomposition of A: $$A = LP$$

$$L =^{t}L > 0$$ L is symmetric and positive defined

$$P^{t}P = I$$

$$^{t}P=P^{-1}$$ 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...