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- Tridiagonal_matrix_algorithm abstract "In numerical linear algebra, the tridiagonal matrix algorithm, also known as the Thomas algorithm (named after Llewellyn Thomas), is a simplified form of Gaussian elimination that can be used to solve tridiagonal systems of equations. A tridiagonal system for n unknowns may be written aswhere and .For such systems, the solution can be obtained in operations instead of required by Gaussian elimination. A first sweep eliminates the 's, and then an (abbreviated) backward substitution produces the solution. Examples of such matrices commonly arise from the discretization of 1D Poisson equation (e.g., the 1D diffusion problem) and natural cubic spline interpolation; similar systems of matrices arise in tight binding physics or nearest neighbor effects models.".
- Tridiagonal_matrix_algorithm wikiPageExternalLink sgh_422b.htm.
- Tridiagonal_matrix_algorithm wikiPageID "4068264".
- Tridiagonal_matrix_algorithm wikiPageRevisionID "606670400".
- Tridiagonal_matrix_algorithm hasPhotoCollection Tridiagonal_matrix_algorithm.
- Tridiagonal_matrix_algorithm subject Category:Numerical_linear_algebra.
- Tridiagonal_matrix_algorithm comment "In numerical linear algebra, the tridiagonal matrix algorithm, also known as the Thomas algorithm (named after Llewellyn Thomas), is a simplified form of Gaussian elimination that can be used to solve tridiagonal systems of equations. A tridiagonal system for n unknowns may be written aswhere and .For such systems, the solution can be obtained in operations instead of required by Gaussian elimination.".
- Tridiagonal_matrix_algorithm label "Algoritmo de Thomas".
- Tridiagonal_matrix_algorithm label "Algoritmo para matrices tridiagonales".
- Tridiagonal_matrix_algorithm label "Thomas-Algorithmus".
- Tridiagonal_matrix_algorithm label "Tridiagonal matrix algorithm".
- Tridiagonal_matrix_algorithm label "Tridiagonale-matrix-algoritme".
- Tridiagonal_matrix_algorithm label "Метод прогонки".
- Tridiagonal_matrix_algorithm sameAs Thomas-Algorithmus.
- Tridiagonal_matrix_algorithm sameAs Algoritmo_para_matrices_tridiagonales.
- Tridiagonal_matrix_algorithm sameAs Tridiagonale-matrix-algoritme.
- Tridiagonal_matrix_algorithm sameAs Algoritmo_de_Thomas.
- Tridiagonal_matrix_algorithm sameAs m.0bgfg3.
- Tridiagonal_matrix_algorithm sameAs Q1819156.
- Tridiagonal_matrix_algorithm sameAs Q1819156.
- Tridiagonal_matrix_algorithm wasDerivedFrom Tridiagonal_matrix_algorithm?oldid=606670400.
- Tridiagonal_matrix_algorithm isPrimaryTopicOf Tridiagonal_matrix_algorithm.