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Antonio Pino
Joined 25 March 2015
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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[ | 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 | 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. | ||
[ | [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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