Locally Optimal Block Preconditioned Conjugate Gradient
Source : https://github.com/lobpcg/blopex/ in blopex_tools/matlab/lobpcg/lobpcg.m
This main function LOBPCG is a version of the preconditioned conjugate gradient method (Algorithm 5.1) described in A. V. Knyazev, Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method, SIAM Journal on Scientific Computing 23 (2001), no. 2, pp. 517-541. http://dx.doi.org/10.1137/S1064827500366124
A C-version of this code is a part of the https://github.com/lobpcg/blopex
package and is available, e.g., in SLEPc and HYPRE. A scipy version is https://docs.scipy.org/doc/scipy/reference/generated/scipy.sparse.linalg.lobpcg.html
Tested in MATLAB 6.5-7.13-R2019a and available Octave 3.2.3-3.4.2.
Citation pour cette source
Andrew Knyazev (2024). Locally Optimal Block Preconditioned Conjugate Gradient (https://github.com/lobpcg/blopex), GitHub. Récupéré le .
Compatibilité avec les versions de MATLAB
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- AI, Data Science, and Statistics > Statistics and Machine Learning Toolbox > Dimensionality Reduction and Feature Extraction >
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Version | Publié le | Notes de version | |
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4.18 | Revision 4.18 removes the check for the size of operatorA apparently not working for function handles |
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4.17 | Revision 4.17 adds support for single precision |
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4.16 | Revision 4.16 adds support for distributed or codistributed arrays available in MATLAB BigData toolbox, e.g.,: A = codistributed(diag(1:100)); B = codistributed(diag(101:200));
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4.15 | updated description on MathWorks, fixed Project Website link |
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4.14 | Linearly depended directions 1-time restart, not failure: 1) Orthogonalization of directions P moved to a different spot.
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1.6 | Connected to GitHub |
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1.5 | added a conversion to a toolbox
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1.4.0.0 | Editorial changes to make the code Octave-compatible. |
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1.1.0.0 | License update to free software (BSD). Comments update. |
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1.0.0.0 | minor update to remove mlint messages |