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GNU Octave currently has the following Krylov subspace methods for sparse linear systems: pcg (spd matrices) and pcr (Hermitian matrices), bicg,
 
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 project [https://socis16octave-improveiterativemethods.blogspot.com/ SOCIS2016] which is already merged into Octave (cset {{cset|6266e321ef22}}).
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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 project [http://planet.octave.org/#tag:blogger.com,1999:blog-1297699247151766814.post-8054019978706480250 SOCIS2016], whose latest patch, still to be included, is [https://savannah.gnu.org/patch/?9108 here].
  
 
In Matlab, some additional methods are available: minres and symmlq (symmetric matrices), bicgstabl (general matrices), lsqr (least
 
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.
 
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.
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The reference book is available [www-users.cs.umn.edu/~saad/IterMethBook_2ndEd.pdf here]
  
 
* '''Required skills'''
 
* '''Required skills'''
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: Maybe hard the mathematical part, medium the programming part.
 
: Maybe hard the mathematical part, medium the programming part.
 
* '''Mentor'''
 
* '''Mentor'''
: Marco Caliari, Carlo de Falco
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=== Chebfun in Octave ===
 
=== Chebfun in Octave ===

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