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Harvard AM205 video 5.4 - Power iteration and inverse iteration
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Harvard Applied Math 205 is a graduate-level course on scientific computing and numerical methods. This video introduces the power iteration, a method for finding the eigenvalue with largest modulus of a given matrix. The video also introduces the inverse iteration and shifts, which can improve the power iteration and allow any eigenvalue to be computed.
Harvard AM205 video 5.4 - Power iteration and inverse iteration
Harvard AM205 video 4.5 - Conditions for a global minimum
Harvard AM205 video 5.10 - Conjugate gradient method
Harvard AM205 video 4.2 - Root finding: fixed-point iteration
Harvard AM205 video 2.4 - LU factorization
Harvard AM205 video 3.5 - Finite-difference approximations
Harvard AM205 video 5.2 - Eigenvalue definitions
Harvard AM205 video 4.4 - Multivariate root-finding methods
Harvard AM205 video 1.2 - Interpolating discrete data
Harvard AM205 video 3.2 - Numerical integration
Harvard AM205 video 3.1 - Introduction to numerical calculus
Harvard AM205 video 4.1 - Introduction to nonlinear equations and optimization
Harvard AM205 video 5.5 - Rayleigh quotient
Harvard AM205 video 1.5 - Piecewise polynomial interpolation
Harvard AM205 video 0.2 - Sources of error
Harvard AM205 video 1.6 - Linear least squares
Harvard AM205 video 2.2 - Norms
Harvard AM205 video 0.4 - Finite-precision arithmetic
Harvard AM205 video 5.1 - Introduction to eigenvalue problems
Harvard AM205 video 2.9 - Householder triangularization
Harvard AM205 video 3.9 - ODE convergence
Harvard AM205 video 2.5 - LU pivoting and Cholesky factorization
Harvard AM205 video 3.8 - One-step integration methods
Harvard AM205 video 3.20 - Method of lines & wave equation
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