Projects with this topic
-
A comprehensive repository of 100+ Jupyter Notebooks covering linear algebra topics, including matrix decompositions, Gaussian elimination, eigenvalues, SVD, and interactive Python/Julia examples for teaching and learning.
Check out our YouTube channel https://www.youtube.com/playlist?list=PLBDUlnmEqyXD_llq6wETUqRkJGRiu8wFU for tutorials and walkthroughs of these notebooks.
linear algebra Python julia-language holoviews Jupyter note... Gaussian eli... Inverse determinant Wedge Product eigenproblem Rayleigh Coe... bilinear Hil... fourier tran... basis Diagonalization QR decompostion SVD eigenvectors eigenvalues Jordan Form matrix decom... interactive ... Rayleigh Quo... generalized ... matrices elementary-m... Vector Spaces dimension of... orthogonality orthonormal ... change of basis matrix inverse decompression cholesky dec... eigenvalues ... generalized ... Moore-Penros... regularized ... Thikonov reg... matrix pencil constrained ... matrix funct... Principal Co... pca Dimensionali... data compres... image compre... graph Laplacian least squares coordinate-t... linear algeb... CCA Canonical Co... Krylov space Arnoldi algo... Lancosz algo... Ritz eigenva... Matrix deriv... Grassmannian Principal an...Updated -
Explore the power method to find the dominant eigenvalue and eigenvector of a given matrix and describe the error estimate and convergence. Write a code to numerically compute the dominant eigenvalue of the given matrix A, plot the original eigen spectrum, and comment on the drawbacks of the method. Compare the eigenvalue computed with the power method with the theoretical eigenvalue calculated using eigen decomposition.
Updated -
