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(→Matlab-compatible ODE solvers in core-Octave: Update section.) |
(→Numerical: Move projects from GSoC page.) |
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The architecture consists of an Octave class interface implementing "mp" (multi-precision) objects. Arithmetic operations are forwarded to MPL using MEX files. This is totally transparent to the end user, except when displaying numbers. This implementation needs to be ported and tested under Octave. | The architecture consists of an Octave class interface implementing "mp" (multi-precision) objects. Arithmetic operations are forwarded to MPL using MEX files. This is totally transparent to the end user, except when displaying numbers. This implementation needs to be ported and tested under Octave. | ||
== Improve logm, sqrtm, funm == | |||
The goal here is to implement some missing Matlab functions related to matrix functions like the [https://en.wikipedia.org/wiki/Matrix_exponential matrix exponential]. There is [https://octave.1599824.n4.nabble.com/matrix-functions-td3137935.html a general discussion] of the problem. A good starting point for available algorithms and open-source implementations is Higham and Deadman's [http://eprints.maths.manchester.ac.uk/2102/1/catalog.pdf "A Catalogue of Software for Matrix Functions"]. | |||
== Improve iterative methods for sparse linear systems == | |||
GNU Octave currently has the following Krylov subspace methods for sparse linear systems: pcg (spd matrices) and pcr (Hermitian matrices), bicg, | |||
bicgstab, cgs, gmres, and qmr (general matrices). The description of some of them (pcr, qmr) and their error messages are not aligned. Moreover, they have similar blocks of code (input check for instance) which can be written once and for all in common functions. The first step in this project could be a revision and a synchronization of the codes, starting from the [https://socis16octave-improveiterativemethods.blogspot.com/ SOCIS2016] project, which is already merged into Octave (cset {{cset|6266e321ef22}}). | |||
In Matlab, some additional methods are available: minres and symmlq (symmetric matrices), bicgstabl (general matrices), lsqr (least | |||
squares). The second step in this project could be the implementation of some of these missing functions. | |||
The [https://www-users.cs.umn.edu/~saad/IterMethBook_2ndEd.pdf reference book by Yousef Saad] is available online. | |||
=GUI/IDE= | =GUI/IDE= | ||