filmov
tv
Harvard AM205 video 5.5 - Rayleigh quotient
Показать описание
Harvard Applied Math 205 is a graduate-level course on scientific computing and numerical methods. This video introduces the Rayleigh quotient, which can be used to accurately estimate an eigenvalue from an approximate eigenvector. The video discusses some of the Rayleigh quotient properties, and shows how it can be incorporated into an inverse iteration to rapidly calculate eigenvalues.
0:14:33
Harvard AM205 video 5.5 - Rayleigh quotient
0:18:54
Harvard AM205 video 5.2 - Eigenvalue definitions
0:24:00
Harvard AM205 video 5.6 - QR algorithm
0:19:04
Harvard AM205 video 3.5 - Finite-difference approximations
0:17:20
Harvard AM205 video 2.5 - LU pivoting and Cholesky factorization
0:15:48
Harvard AM205 video 4.5 - Conditions for a global minimum
0:28:44
Harvard AM205 video 5.10 - Conjugate gradient method
0:29:06
Harvard AM205 video 5.1 - Introduction to eigenvalue problems
0:27:43
Harvard AM205 video 3.9 - ODE convergence
0:11:05
Harvard AM205 video 4.3 - Newton and secant methods
0:05:09
Harvard AM205 video 3.0 - Final project organization
0:14:49
Harvard AM205 video 1.7 - Underdetermined least squares
0:23:49
Harvard AM205 video 5.4 - Power iteration and inverse iteration
0:27:03
Harvard AM205 video 4.8 - Steepest descent and Newton methods for optimization
0:06:13
Harvard AM205 video 3.16 - Partial differential equations
0:21:50
Harvard AM205 video 3.12 - ODE error estimation
0:22:41
Harvard AM205 video 1.2 - Interpolating discrete data
0:14:49
Harvard AM205 video 1.7 - Underdetermined least squares
0:29:45
Harvard AM205 video 1.6 - Linear least squares
0:27:34
Harvard AM205 video 1.5 - Piecewise polynomial interpolation
0:19:59
Harvard AM205 video 3.2 - Numerical integration
0:27:28
Harvard AM205 video 5.3 - Gershgorin circle theorem & eigenvalue sensitivity
0:25:49
Harvard AM205 video 2.13 - An example of PCA
0:24:54
Harvard AM205 video 4.9 - Quasi-Newton methods
Комментарии