Re: [eigen] SOCIS2011

[R Kannan <ltbuckling+eigen@xxxxxxxxx>]

Gael,

Yes, I am interested.

On the applications side, generalized eigenvalue problems come up in
structural engineering where you want to find the modes of vibration
for a structure (without considering the damping). However these
problems are large & sparse and hence the GR/QZ family of algorithms
(that find all eigenvalues) are generally not viable. Hence the need
for algorithms that find a few eigenvalues at the ends of the
spectrum, of which subspace iteration is an example.

Ramaseshan

On 1 July 2011 09:47, Enrico Avventi <eavventi@xxxxxxxx> wrote:
> well, i'm not sure about direct applications of generalized eigenproblems
> but, as i said, they constitute a basis to solve Riccati and Lyapunov
> equations which are found everywhere in system theory (optimal control,
> kalman filters, spectral decomposition etc).
>
> /Enrico
>
> On Fri, Jul 1, 2011 at 10:06 AM, Gael Guennebaud <gael.guennebaud@xxxxxxxxx>
> wrote:
>>
>> I cannot argue against this, given the name of the project it would
>> not harm to offer the best set of eigenvalues related algorithms ;)
>>
>> For each proposal idea, we should also come up with a list of
>> arguments to make it appealing for "space" applications.
>>
>> Ramaseshan: are you willing to apply to the SOCIS2011 program too?
>>
>> gael
>>
>> On Thu, Jun 30, 2011 at 9:14 PM, Keir Mierle <mierle@xxxxxxxxx> wrote:
>> > +1 on an implementation of the QZ algorithm! It would be great to have
>> > the
>> > equivalent of MATLAB's polyeig, which can be implemented with QZ.
>> >
>> > On Thu, Jun 30, 2011 at 8:42 AM, Enrico Avventi <eavventi@xxxxxxxx>
>> > wrote:
>> >>
>> >> my idea is to work on a generalized eigensolver such as the QZ
>> >> algorithm.
>> >> i'm interested in this to eventually add solvers for Riccati and
>> >> Lyapunov
>> >> equations on top of it.
>> >>
>> >> an alternative would be to expand the optimization module with a
>> >> minimization algorithm.
>> >>
>> >> /Enrico
>> >>
>> >> On Thu, Jun 30, 2011 at 4:27 PM, Gael Guennebaud
>> >> <gael.guennebaud@xxxxxxxxx> wrote:
>> >>>
>> >>> Hi Enrico,
>> >>>
>> >>> why not, but first we have list a few topic ideas and also see if
>> >>> there are other potential candidates.
>> >>>
>> >>> Which particular topics would you be interested to contribute on?
>> >>>
>> >>> Does anybody else would be interested (as student or mentor)?
>> >>>
>> >>> Gael.
>> >>>
>> >>> On Thu, Jun 30, 2011 at 2:10 PM, Enrico Avventi <eavventi@xxxxxxxx>
>> >>> wrote:
>> >>> > Hello,
>> >>> >
>> >>> > i've been keeping an eye on Eigen and lurking the mailing list for a
>> >>> > while
>> >>> > but this is my first post.
>> >>> >
>> >>> > i wanted to point to an initiative promoted by the European space
>> >>> > agency
>> >>> > that is similar to Google's Summer of Code: SOCIS2011.
>> >>> > you may consider to apply as a mentoring organization.
>> >>> >
>> >>> > i suggest this because i indend to partecipate and Eigen would be a
>> >>> > nice
>> >>> > project to contribute to.
>> >>> >
>> >>> > regards,
>> >>> >
>> >>> > Enrico Avventi
>> >>> >
>> >>> >
>> >>> >
>> >>> >
>> >>>
>> >>>
>> >>
>> >
>> >
>>
>>
>
>