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Date: Sat, 25 Jun 2011 11:22:47 +0000 (UTC)
From: =?utf-8?Q?S=C3=A9bastien_Brisard_=28JIRA=29?= <jira@apache.org>
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Subject: [jira] [Commented] (MATH-581) Support for iterative linear solvers
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    [ https://issues.apache.org/jira/browse/MATH-581?page=3Dcom.atlassian.j=
ira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=3D130548=
62#comment-13054862 ]=20

S=C3=A9bastien Brisard commented on MATH-581:
----------------------------------------

As for my taglet, the idea is to embed a little piece of javascript in orde=
r to render the mathml code in a html page (instead of xhtml). So it is ver=
y (very) lightweight, with two drawbacks
* portability : the javascript code would be different for every single bro=
wser (tested on firefox for the moment)
* file management : each equation must be kept in a separate file : this is=
 not a big concern, all files are stored in the {{doc-files/}} directory. I=
 also have implemented a taglet called {{@inlineMathML}}, where the MathML =
code is typed directly in the {{*.java}} file, but it applies only to very =
small formulae, since the source file gets very quickly blotted. Anyway, as=
 I said, I'm very happy to contribute this code if you think it can be of a=
ny use. We can start a new JIRA ticket on this.

I think I kind of agree with Gilles' point of view on javadoc sticking with=
 ASCII. However, the code I develop at work is numerically oriented, and I =
do not have enough time to write both a thorough Javadoc *and* a math-orien=
ted doc. So I decided to go for a detailed Javadoc, with MathML formulas.

BTW, I only used a tip found [here|https://developer.mozilla.org/en/Mozilla=
_MathML_Project/Authoring]. I remember having found on the internet the cor=
responding code for IE.

> Support for iterative linear solvers
> ------------------------------------
>
>                 Key: MATH-581
>                 URL: https://issues.apache.org/jira/browse/MATH-581
>             Project: Commons Math
>          Issue Type: New Feature
>    Affects Versions: 3.0, Nightly Builds
>            Reporter: S=C3=A9bastien Brisard
>              Labels: iterative, linear, solver
>         Attachments: MATH-581-01.patch, linearoperator.zip
>
>
> Dear all,
> this issue has already been discussed on the forum. The idea is to implem=
ent the most popular linear iterative solvers (CG, SYMMLQ, etc...) in commo=
ns-math. The beauty of these solvers is that they do not need direct access=
 to the coefficients of the matrix, only matrix-vector products are necessa=
ry. This is goof, as sometimes it is inetficient to store the coefficients =
of the matrix.
> So basically, before implementing the iterative solvers, we need to defin=
e an interface slightly more general than a matrix, namely LinearOperator, =
with only one basic operation: matrix-vector product.
> Here are a few interfaces and abstract classes that do that. Nothing fanc=
y yet, I just wanted to have you advice on the implementation before I comm=
it some solvers.
> I thought these classes could go in a package org.apache.commons.math.lin=
earoperator, but really, I haven't got a clue...
> Best regards,
> Sebastien

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