Eigenvalues

concepts · 6 notes linked

Related: Numerical Linear Algebra · George Polya · Iosif Polterovich · Universite De Montreal · Spectral Geometry · Wave Propagation · Positive Definite Matrix · Cholesky Decomposition

Notes

• Calculator for eigenvalues and eigenvectors — Interactive web tool computing eigenvalues and eigenvectors for matrices
• Definite matrix - Wikipedia — Symmetric matrix with all positive eigenvalues defining inner product
• In Mysterious Pattern, Math and Nature Converge | Quanta Magazine — Random matrix universality pattern appears across unrelated complex systems
• Mathematicians prove Pólya's conjecture for the eigenvalues of a disk, a 70-year-old math problem — 70-year-old spectral geometry conjecture about disk eigenvalues finally proven
• The Smallest Eigenvalues of a Graph Laplacian — Graph Laplacian eigenvalues zero and second-smallest enable spectral clustering and partitioning
• The power method: compute only the largest eigenvalue of a matrix — Iterative algorithm to compute only the largest matrix eigenvalue efficiently