Antonio Pino

Joined 25 March 2015
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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.
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.  


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.
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. That is the project offers a twofold benefit: renewed Matrix Functions as well as further Matlab compatibility.


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.
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. Then recent algorithms will be used to replace existing implementations.
 
Then recent algorithms will be used to replace existing implementations. funm should be ready by the mid-term.  The tentative time line can be read in the "Additional Info URL".
 
Finally, the project offers a twofold benefit: renewed Matrix Functions as well as further Matlab compatibility.


funm should be ready by the mid-term.  The tentative time line can be read in the "Additional Info URL".


'''Qualification'''
'''Qualification'''
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