On solution of large systems of linear equations with block-Toeplitz banded matrices

Alexander N. Malyshev · Doklady Mathematics · 2013

A novel numerical algorithm is proposed for solving systems of linear equations with block-Toeplitz narrow-banded matrices. Its arithmetical cost is about double of that of the block cyclic reduction. The backward roundoff error stability of the method guarantees its reliability for the matrices that are not symmetric positive definite or diagonally dominant.

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