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Harvard AM205 video 5.1 - Introduction to eigenvalue problems

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Harvard Applied Math 205 is a graduate-level course on scientific computing and numerical methods. This video introduces Unit 5 of the course, on eigenvalues and iterative methods. The video describes several example problems where eigenvalues emerge, and looks at how to solve them using library functions in Python.
Harvard AM205 video 5.1 - Introduction to eigenvalue problems
Harvard AM205 video 1.1 - Introduction to data fitting
Harvard AM205 video 3.1 - Introduction to numerical calculus
Harvard AM205 video 2.1 - Introduction to numerical linear algebra
Harvard AM205 video 5.6 - QR algorithm
Harvard AM205 video 5.2 - Eigenvalue definitions
Harvard AM205 video 1.5 - Piecewise polynomial interpolation
Harvard AM205 video 5.10 - Conjugate gradient method
Harvard AM205 video 1.6 - Linear least squares
Harvard AM205 video 4.9 - Quasi-Newton methods
Harvard AM205 video 4.1 - Introduction to nonlinear equations and optimization
Harvard AM205 video 3.5 - Finite-difference approximations
Harvard AM205 video 0.1 - Introduction
Harvard AM205 video 5.4 - Power iteration and inverse iteration
Harvard AM205 video 3.8 - One-step integration methods
Harvard AM205 video 2.13 - An example of PCA
Harvard AM205 video 4.5 - Conditions for a global minimum
Harvard AM205 video 4.2 - Root finding: fixed-point iteration
Harvard AM205 video 2.5 - LU pivoting and Cholesky factorization
Harvard AM205 video 4.10 - Sequential quadratic programming
Harvard AM205 video 3.16 - Partial differential equations
Harvard AM205 video 1.3 - Function approximation
Harvard AM205 video 5.5 - Rayleigh quotient
Harvard AM205 video 3.12 - ODE error estimation
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