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A system of equations with a tridiagonal coefficient matrix - MaRDI portal

A system of equations with a tridiagonal coefficient matrix (Q702662)

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scientific article; zbMATH DE number 2128840
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A system of equations with a tridiagonal coefficient matrix
scientific article; zbMATH DE number 2128840

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    A system of equations with a tridiagonal coefficient matrix (English)
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    17 January 2005
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    The goal of the paper is to show that for a linear system of equations \(AX=C\), where the coefficient matrix \(A\) is tridiagonal, the algorithms used by \textit{M. El-Mikkawy} in [Appl. Math. Comput. 139, No. 2--3, 503--511 (2003; Zbl 1078.65533)] can be improved in the case when \(A\) is invertible, the system being equivalent with a linear system that has the coefficient matrix an upper triangular matrix.
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    tridiagonal matrix
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    upper triangular matrix
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    equivalent matrix
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    system of equations
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