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Zbl 0732.65023
Práger, Milan
An iterative method of alternating type for systems with special block matrices. (English)
[J] Appl. Math., Praha 36, No.1, 72-78 (1991). ISSN 0862-7940; ISSN 1572-9109/e

The author discusses an iterative method for solving systems of linear algebraic equations of the type $$ \pmatrix A&D\sp T&0 \\ D&B&E\sp T \\ 0&E&C \endpmatrix \pmatrix x \\ y \\ z \endpmatrix = \pmatrix f \\ g \\ h \endpmatrix $$ where A, B and C are symmetric matrices. The proposed algorithm yields a sequence of vectors $y\sb n$ converging to the y-component of the exact solution of (1). The algorithm is illustrated by a numerical example.
[M.Jung (Chemnitz)]

MSC 2000:: *65F10 Iterative methods for linear systems
65N55 Multigrid methods; domain decomposition (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems

Keywords: iterative method of alternating type; block matrices; domain decomposition; numerical example

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