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Antonio Pino (talk | contribs) (refresh the update to the ''your proposal'' and ''submitted proposal'' sections) |
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'''Update:''' | '''Update:''' | ||
Part of the work is already done by Prof. N.J. Higham and is available under a GPLv3+ license: [http://www.ma.man.ac.uk/~higham/mftoolbox/ The Matrix Function Toolbox][3] which is closely related to the book by the same author[4]. A [http://www.ma.man.ac.uk/~higham/mctoolbox toolbox for matrix computations][4] (The Matrix Computation Toolbox) is also provided by the same author, under the same license. Finally, a funm function is provided in the page of the NAMF project under GPLv3+. One might suggest that there is still room for improvement; because as Marco Caliari noted the toolboxes are from 2008. A review of the literature needs to be done in order to use more recent algorithms when writing the new functions. | Part of the work is already done by Prof. N.J. Higham and is available under a GPLv3+ license: [http://www.ma.man.ac.uk/~higham/mftoolbox/ The Matrix Function Toolbox][3] which is closely related to the book by the same author[4]. A [http://www.ma.man.ac.uk/~higham/mctoolbox toolbox for matrix computations][4] (The Matrix Computation Toolbox) is also provided by the same author, under the same license. Finally, a funm function is provided in the page of the NAMF project under GPLv3+. One might suggest that there is still room for improvement; because as Marco Caliari noted the toolboxes are from 2008. A review of the literature needs to be done in order to use more recent algorithms when writing the new functions. | ||
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'''weeks 1-2''' | '''weeks 1-2''' | ||
The start should be soft for I am having the finals in this period. At this point the list of algorithms to be used must be completely defined; that is, a final review of the literature | The start should be soft for I am having the finals in this period. At this point the list of algorithms to be used must be completely defined; that is, a final review of the literature is to be done. | ||
Work | Work on the toolboxes starts here. | ||
'''weeks 3-4''' | '''weeks 3-4''' | ||
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Pencils down. Run tests on the Matrix Functions and write/review their documentation. | Pencils down. Run tests on the Matrix Functions and write/review their documentation. | ||
<!-- references | |||
these feel like I have just one source, and I am citing it over and over again... | |||
---> | |||
[1] 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. A New sqrtm for MATLAB. Numerical Analysis Report No. 336, Manchester Centre for Computational Mathematics, Manchester, England, January 1999. | ||
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[5] N. J. Higham. The Matrix Computation Toolbox. http://www.ma.man.ac.uk/~higham/mctoolbox | [5] N. J. Higham. The Matrix Computation Toolbox. http://www.ma.man.ac.uk/~higham/mctoolbox | ||
[6] M. I. Smith (2003). [http://www.maths.manchester.ac.uk/~higham/narep/narep392.ps.gz A Schur Algorithm For Computing Matrix Pth Roots], SIAM J. MATRIX ANAL. APPL. 24, 4, 971-989. |
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