Covers the formulation of linear systems, direct and iterative methods for solving them, and the cost of LU factorization.
Explains the concept of least squares solutions and their application in finding the closest solution to a system of equations.
Explains Gaussian elimination and LU factorization for solving linear systems of equations.
Explores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.
Introduces iterative methods for linear equations, convergence criteria, gradient of quadratic forms, and classical force fields in complex atomistic systems.
