https://github.com/alexbuccheri/chebi

https://github.com/alexbuccheri/chebi

Last synced: about 1 month ago
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• Host: GitHub
• URL: https://github.com/alexbuccheri/chebi
• Owner: AlexBuccheri
• Created: 2023-02-06T20:31:15.000Z (almost 2 years ago)
• Default Branch: main
• Last Pushed: 2023-02-06T20:34:29.000Z (almost 2 years ago)
• Last Synced: 2024-10-28T10:28:31.032Z (3 months ago)
• Language: Python
• Size: 15.6 KB
• Stars: 1
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Algorithms

### Orthogonalisation

* Gram-Schmidt

  * Classic version needs more testing, and documenting

  * Modified version appears to work but should be documented

* Inner product approximation to go with Gram-Schmit 

  * Work through [this](https://sites.cs.ucsb.edu/~gilbert/cs290hSpr2014/Projects/BiegertKonoplivProject.pdf) 

    reference

### Iterative Eigensolvers

* Lanczos

  * References:

    * https://github.com/zachtheyek/Lanczos-Algorithm/blob/master/src/lanczos.ipynb

    * https://sites.cs.ucsb.edu/~gilbert/cs290hSpr2014/Projects/BiegertKonoplivProject.pdf

    * https://en.wikipedia.org/wiki/Lanczos_algorithm

* Chebyshev filtering

  * Requires: Lanczos, Gram-Schmidt, matrix-matrix, multiplication

  * Should prototype by calling library routines where possible

* [Rayleigh_quotient](https://en.wikipedia.org/wiki/Rayleigh_quotient_iteration)