Locally Optimal Block Preconditioned Conjugate Gradient

Versión 4.18 (435 KB) por Andrew Knyazev
LOBPCG solves Hermitian partial generalized eigenvalue problems using preconditioning, as well as PCA
4.8
(6)
5,9K Descargas
Actualizado 3 dic 2021
Ver licencia en GitHub

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.

Citar como

Andrew Knyazev (2024). Locally Optimal Block Preconditioned Conjugate Gradient (https://github.com/lobpcg/blopex), GitHub. Recuperado .

Compatibilidad con la versión de MATLAB
Se creó con R2019a
Compatible con cualquier versión desde R2007b
Compatibilidad con las plataformas
Windows macOS Linux
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Versión Publicado Notas de la versión
4.18

Revision 4.18 removes the check for the size of operatorA apparently not working for function handles
4.17

Revision 4.17 adds support for single precision
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));
[blockVectorX,lambda]=lobpcg(randn(100,2),A,1e-5,5,2)
4.15

updated description on MathWorks, fixed Project Website link
4.14

Linearly depended directions 1-time restart, not failure:

1) Orthogonalization of directions P moved to a different spot.
2) Linearly depended directions P now result in a 1-time restart, where the whole P is dropped once, not failure as before
1.6

Connected to GitHub
1.5

added a conversion to a toolbox
A minor update. Functions can now be called using also function handles. Updated comments and examples.
added a toolbox format
1.4.0.0

Editorial changes to make the code Octave-compatible.

1.1.0.0

License update to free software (BSD). Comments update.
1.0.0.0

minor update to remove mlint messages
Para consultar o notificar algún problema sobre este complemento de GitHub, visite el repositorio de GitHub.
Para consultar o notificar algún problema sobre este complemento de GitHub, visite el repositorio de GitHub.