User:Antonio Pino: Difference between revisions

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'''Benefit-Deliverables'''
'''Benefit-Deliverables'''


The project's aim is to improve the existing implementations of Matrix Functions in Gnu Octave based on the algorithms developed by a team lead by Prof. Higham at the University of Manchester. At this point in time, in Gnu Octave there are the following: expm makes use of Padé approximant, logm uses a Schur-Parlett algorithm, and sqrtm using a variant of the algorithm in A New sqrtm for MATLAB[1]. On the other hand, in Octave-Forge there are funm and trigonometric and hyperbolic matrix functions.
The project's aim is to improve the existing implementations of Matrix Functions in Gnu Octave based on the algorithms developed by a team lead by Prof. Higham at the University of Manchester. At this point in time, in Gnu Octave there are the following: expm makes use of Padé approximant, logm uses a Schur-Parlett algorithm, and sqrtm using a variant of the algorithm in A New sqrtm for MATLAB[0]. On the other hand, in Octave-Forge there are funm and trigonometric and hyperbolic matrix functions.


I believe this is of interest to Gnu Octave first, due to the goal of overall MATLAB compatibility and second, because more and more systems are being described by a matrix equation lately.
I believe this is of interest to Gnu Octave first, due to the goal of overall MATLAB compatibility and second, because more and more systems are being described by a matrix equation lately.


funm should be ready by the mid-term. The rest will follow. The tentative time line can be read in the "Additional Info URL".
Part of the work is already done by Prof. N.J. Higham and is available under a GPLv3+ license: The Matrix Function Toolbox[1] which is closely related to the book by the same author[4], The Matrix Computation Toolbox[2] is also provided by the same author, under the same license.
 
Hence, the first part of the project is to focus on Octave-Matlab compatibility by making the toolboxes --originally intended to work with Matlab-- work smoothly as they are under Octave.
 
funm should be ready by the mid-term and algorithms will be added to existing implementations. The tentative time line can be read in the "Additional Info URL".




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Finally, I have been writing m-scripts for two years now, to solve specific engineering problems, a strong python background. I order to fulfil it I will have to refresh my C++ knowledge by becoming familiar with the source tree, and get used to mercurial (hg), the version control system used to manage Gnu Octave.
Finally, I have been writing m-scripts for two years now, to solve specific engineering problems, a strong python background. I order to fulfil it I will have to refresh my C++ knowledge by becoming familiar with the source tree, and get used to mercurial (hg), the version control system used to manage Gnu Octave.


[1] N.J. Higham. A New sqrtm for MATLAB. Numerical Analysis Report No. 336, Manchester Centre for Computational Mathematics, Manchester, England, January 1999.
[0] N.J. Higham. A New sqrtm for MATLAB. Numerical Analysis Report No. 336, Manchester Centre for Computational Mathematics, Manchester, England, January 1999.
 
[1] N. J. Higham. The Matrix Function Toolbox. http://www.ma.man.ac.uk/~higham/mftoolbox
 
[2] N. J. Higham. The Matrix Computation Toolbox. http://www.ma.man.ac.uk/~higham/mctoolbox


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