4 x 4 is needed ~~
mathematica runs extremely fast for 4 x 4 matrix as it should be, but ...

在 2014年2月12日星期三 UTC+8上午5:40:19,Vinzent Steinberg写道:
>
> On Monday, February 10, 2014 11:27:09 PM UTC-5, monde wilson wrote:
>>
>> why eigenvectors very slow
>>
>> what is the difference between numpy and sympy when doing matrix 
>> calculation
>>
>
> Sympy calculates eigenvectors symbolically (thus exactly), numpy 
> calculates them numerically using floating point arithmetic.
> In general you don't want to use sympy to calculate the eigenvectors for 
> matrices larger than 2x2, because the symbolic results can be very 
> complicated. (IIRC, the eigenvalues are calculated by finding roots of the 
> characteristic polynomial, which can lead to nasty expressions for 
> dimension 3 and beyond.)
>  
>
>> will numpy faster and more accurately
>>
>
> Numpy will be a lot faster, but not more accurate. If you only need 
> numerical results, you probably should use numpy for this.
>
> Vinzent
>

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