Table des matières
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Eigenvalues and eigenvectors
- Important matrix properties
- Hermitian, orthogonality,…
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- Power iteration, a simple numerical algorithm producing a number $\lambda$, the greatest (in absolute value) eigenvalue of a matrix $A$, and the corresponding eigenvector $v$, such that $Av=\lambda v$.
- LR algorithm, developed by Heinz Rutishauser (1958 ?)
Applications
- collisional relaxation
- population dynamics, evolution (stationary population pyramid)
- normal modes analysis (molecular vibrations)
- PCA (principal component analysis)
- Schrödinger equation in quantum mechanics, molecular orbitals (Hartree–Fock theory)