Direct Methods for Linear Systems of Equations

Related lectures (28)

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Explores the Cholesky factorization method for symmetric positive definite matrices.

Covers linear systems, diagonal and triangular matrices, and LU factorization.

Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.

Covers direct methods for solving linear systems in numerical analysis.

Summarizes methods for resolving linear systems, including Gaussian elimination and LU decomposition.

Covers the resolution of linear systems and its link to optimization problems.

Explores the link between linear systems and optimization through elimination and LU decomposition.

Explains the Gaussian elimination algorithm with pivoting and LU factorization for linear systems.

Explores floating point numbers, LU decomposition, errors, and matrix properties.

Covers the LU decomposition algorithm, transforming a matrix into L and U.