Thomas algorithm, accuracy of direct methods

Related lectures (29)

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

Explores the Cholesky factorization method for symmetric positive definite matrices.

Explores floating point numbers, LU decomposition, errors in numerical computations, and the impact of round-off errors.

Explores direct methods for solving linear systems of equations, including Gauss elimination and LU decomposition.

Covers direct methods for solving linear systems in numerical analysis.

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

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

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

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

Explores direct methods for solving linear equations and the impact of errors on solutions and matrix properties.