Geodesic
General theory of direct methods for solving systems of equations with band matrices
Applications of Mathematics, Tome 24 (1979) no. 3, pp. 161-183.

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A unified approach to the theory and construction of direct methods is presented. The approach is based on the idea of the transfer of conditions. In examples it is shown how to obtain a particular method from the general algorithm.
DOI : 10.21136/AM.1979.103794
Classification : 65F05, 65F30
Keywords: general theory of direct methods; band matrices; factorization methods; Gaussian elimination; transfer of the boundary condition 
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     title = {General theory of direct methods for solving systems of equations with band matrices},
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Malina, Ľubor. General theory of direct methods for solving systems of equations with band matrices. Applications of Mathematics, Tome 24 (1979) no. 3, pp. 161-183. doi : 10.21136/AM.1979.103794. http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103794/

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