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User:Antonio Pino: Difference between revisions
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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". | |||
'''Qualification''' | '''Qualification''' | ||