Iterative Methods: Linear Systems

Related lectures (30)

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Covers the construction of an iterative method for linear systems by decomposing a matrix A into P, T, and P_A.

Explores the effect of rounding errors in solving linear systems using the LU factorization method.

Covers the convergence analysis of iterative methods and the conditions for convergence.

Covers iterative methods for solving linear systems of equations and discusses the convergence properties of methods like Richardson's method.

Covers iterative methods for solving linear equations and analyzing convergence, including error control and positive definite matrices.

Covers tips on matrix construction and function manipulation using MATLAB.

Explores linear systems, Cholesky factorization, LU factorization, and matrix precision.

Explores solving linear systems and addressing nonlinearity in numerical flow simulations using multigrid and linearization methods.

Explores linear systems, covering direct and iterative methods for solving them with a focus on round-off errors and Richardson's algorithm.

Explores linear systems and iterative methods like gradient descent and conjugate gradient for efficient solutions.