teaching:methcalchim:eigenvalues_and_eigenvectors

Différences

Ci-dessous, les différences entre deux révisions de la page.

Lien vers cette vue comparative

Les deux révisions précédentes Révision précédente
Prochaine révision		 Révision précédente
teaching:methcalchim:eigenvalues_and_eigenvectors [2018/11/27 06:51] – [Applications] villersdteaching:methcalchim:eigenvalues_and_eigenvectors [2021/06/11 12:15] (Version actuelle) – villersd
Ligne 11: Ligne 11:
 ===== Applications ===== ===== Applications =====
   * collisional relaxation   * collisional relaxation
 +    * //e.g.// [[https://pubs.acs.org/doi/abs/10.1021/ed066p142|Collisional relaxation via eigenfunction-eigenvalue expansion: Analysis of a simple case]] Wendell Forst, J. Chem. Educ., 1989, 66 (2), p 142 DOI: 10.1021/ed066p142
   * population dynamics, evolution (stationary [[wp>population pyramid]])   * population dynamics, evolution (stationary [[wp>population pyramid]])
 +    * [[wp>Leslie_matrix|Leslie matrix]]
 +    * [[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.133.7164&rep=rep1&type=pdf|Leslie Matrix Model in Population Dynamics - CiteSeerX]]
 +    * [[http://personal.denison.edu/~ludwigl/2011populationdynamicsandma.pdf]],...
   * normal modes analysis (molecular vibrations)   * normal modes analysis (molecular vibrations)
   * PCA (principal component analysis)   * PCA (principal component analysis)
Ligne 17: Ligne 21:
  
 ===== Python libraries ===== ===== Python libraries =====
 +  * NumPy (more portability)
 +    * [[https://docs.scipy.org/doc/numpy/reference/routines.linalg.html|numpy.linalg]]
 +      * [[https://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.eig.html|linalg.eig(a)]] Compute the eigenvalues and right eigenvectors of a square array
 +  * SciPy (more complete wrapper on [[wp>LAPACK|LAPACK]] fortran package)
 +    * [[https://docs.scipy.org/doc/scipy/reference/linalg.html|scipy.linalg]]
 +      * [[https://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.eig.html|scipy.linalg.eig]] Solve an ordinary or generalized eigenvalue problem of a square matrix
 +      * [[https://docs.scipy.org/doc/scipy/reference/linalg.html#decompositions|Decompositions]] (LU, QR,...)
  
  
 ===== References ===== ===== References =====
 +
 +  * Numerical recipes, The Art of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, 2007, isbn: 9780521880688
 +    * [[http://numerical.recipes/]]
 +    * [[http://www2.units.it/ipl/students_area/imm2/files/Numerical_Recipes.pdf]], chapter 11 Eigensystems p 456...
 +    * [[http://apps.nrbook.com/empanel/index.html#]]
 +  * Python NumPy vs SciPy : //cf.// [[https://stackoverflow.com/questions/6684238/whats-the-fastest-way-to-find-eigenvalues-vectors-in-python]]
 +  * [[https://medium.com/analytics-vidhya/eigenvectors-and-eigenvalues-a-deeper-understanding-c715f8ded4c7|Eigenvectors and Eigenvalues: A deeper understanding]] Muhammad Abdullah Bilal, Analytics Vidhya, Medium, 04/03/2021
  
  
  • teaching/methcalchim/eigenvalues_and_eigenvectors.txt
  • Dernière modification : 2021/06/11 12:15
  • de villersd