[SciPy-Dev] Sylvester equation solver for complex matrices

[Nils Wagner]

On Wed, 15 Feb 2012 12:42:04 -0600
  Warren Weckesser <warren.weckesser at enthought.com> wrote:
> On Sat, Feb 11, 2012 at 11:24 AM, Warren Weckesser <
> warren.weckesser at enthought.com> wrote:
> 
>>
>>
>> On Sat, Feb 11, 2012 at 4:45 AM, Nils Wagner 
>><nwagner at iam.uni-stuttgart.de
>> > wrote:
>>
>>> Hi all,
>>>
>>> I run a short test on the recent solver for Sylvester
>>> equations.
>>> In case of complex input matrices the method returns
>>>  ** On entry to ZTRSYL parameter number  2 had an 
>>>illegal
>>> value
>>>
>>> Nils
>>>
>>>
>>
>> Thanks, Nils.  The new solve_sylvester function didn't 
>>handle complex
>> matrices correctly. I have submitted a pull request (
>> https://github.com/scipy/scipy/pull/155) that should fix 
>>this.
>>
>> Warren
>>
>>
> 
> Nils, the fix has been committed to the master branch. 
>  Let us know if you
> find any other problems.
> 
> Warren
> 
> 
> 
>>
>>> import numpy as np
>>> from scipy import linalg as la
>>> np.random.seed(10)
>>> a = np.random.rand(20,20)+1j*np.random.rand(20,20)
>>> b = np.random.rand(20,20)+1j*np.random.rand(20,20)
>>> q = np.random.rand(20,20)+1j*np.random.rand(20,20)
>>>
>>> x = la.solve_sylvester(a,b,q)
>>> res = la.norm(np.dot(a,x)+np.dot(x,b)-q)
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>>>
>>
>>
Hi Warren,


Great. It works fine for me.
BTW, is the Sylvester equation solver part of the next 
scipy release ?
How about Lyapunov and Riccati equation solvers ?

Cheers,
                          Nils