Displaying similar documents to “General theory of direct methods for solving systems of equations with band matrices”

On generalized methods of the transfer of conditions

Ľubor Malina (1979)

Aplikace matematiky

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The methods of the transfer of conditions are generalized so that they also cover the direct methods leading to the diagonalization of the original matrix of a system with a band matrix. Part 3 is devoted to the numerical stability of methods of the transfer of conditions described in author's previous paper. Finally, it is shown how to obtain a particular method by the choice parameters of the general algorithm.

Numerical solution of boundary value problems for selfadjoint differential equations of 2 n th order

Jiří Taufer (2004)

Applications of Mathematics

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The paper is devoted to solving boundary value problems for self-adjoint linear differential equations of 2 n th order in the case that the corresponding differential operator is self-adjoint and positive semidefinite. The method proposed consists in transforming the original problem to solving several initial value problems for certain systems of first order ODEs. Even if this approach may be used for quite general linear boundary value problems, the new algorithms described here exploit...