Gauss-Seidel Method

Related lectures (31)

Page 2 of 4

Explores properties of orthogonal and triangular matrices with linearly independent columns and their mathematical operations.

Explores nonlinearity in numerical flow simulation, covering linearization methods and practical examples.

Explores the properties of invertible matrices, including unique solutions and linear independence.

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

Covers the construction of an iterative method for linear systems, emphasizing matrix decomposition and convexity.

Covers the formulation of linear systems, direct and iterative methods for solving them, and the cost of LU factorization.

Covers the Gauss-Seidel method for solving linear systems through progressive substitution and iterative processes.

Covers the Choleski factorisation method for solving linear systems efficiently.

Covers the LU decomposition method applied to linear systems, presenting the system in two steps.

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