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Tridiagonal matrix algorithm

Improved reduction for specific matrices

Tridiagonal matrix algorithm

Common card · No. 335967

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 as a i x i − 1 + b i x i + c i x i + 1 = d i , {\displaystyle a_{i}x_{i-1}+b_{i}x_{i}+c_{i}x_{i+1}=d_{i},} where a...

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