Re: [eigen] SOCIS2011 |

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*To*: eigen@xxxxxxxxxxxxxxxxxxx*Subject*: Re: [eigen] SOCIS2011*From*: R Kannan <ltbuckling+eigen@xxxxxxxxx>*Date*: Fri, 1 Jul 2011 10:16:59 +0100*Dkim-signature*: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=gamma; h=mime-version:sender:in-reply-to:references:date :x-google-sender-auth:message-id:subject:from:to:content-type; bh=F+eUlrx8lrPUtgkBRduXfdKjnmBsrhtCPCz1p0vBeNs=; b=oflf88IHv9SyfAyLApE6NbuJ4Ah05bR5hGxvvt62vzFxsNPFJRfYEYB3naHbhZr47l zH/rlJnKFOJBB0Ev5q+uKkTuE9Nt1KUcO1enDW4856SvGKsOZlELUoXoa6XT/elb0yi6 EARAVxn4B2zL9QUTQUZURgRXKYMwgkh/kugI8=

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 >> >>> > >> >>> > >> >>> > >> >>> > >> >>> >> >>> >> >> >> > >> > >> >> > >

**References**:**Re: [eigen] SOCIS2011***From:*Gael Guennebaud

**Re: [eigen] SOCIS2011***From:*Enrico Avventi

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