Re: [ublas] determinant and norm

From: Karl Meerbergen (Karl.Meerbergen_at_[hidden])
Date: 2005-12-20 03:29:14

>
>
>  
>
>>Pivoting should not change the 
>>value of the product of the diagonal elts, unless 2x2 pivots are present 
>>(for symmetric matrices).
>>    
>>
>
>I think that the sign of the product of the diagonal elements of U
>depends on the number of row permutations in pivoting: if this number
>is even, product is equal to determinant, but if it is odd,
>product is  -determinant.
>

Indeed. I was wrong. The determinant may change sign when rows or 
columns are swapped. Thanks for correcting me.

Karl