3. Example

The non-symmetrical matrix A of order 3m ² is pentadiagonal in blocks and depends on five parameters α, δ, µ, ω and σ. The diagonal blocks are 3 × 3 matrices: $(\begin{matrix} 4 α + β + μ & - μ & 0 \\ - μ & 4 α + μ + ω & - σ \\ 0 & - ω & 4 \end{matrix}$

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(1) - BARRETT (R.), BERRY (M.), CHAN (T.F.), DEMMEL (J.), DONATO (J.), DONGARRA (J.), EIJKHOUT (V.), POZO (R.), ROMINE (C.), VAN DER VORST (H.V.) - Templates for the solution of linear systems : building blocks for iterative methods. - SIAM (1994).
(2) - FISCHER (B.) - Polynomial based iteration...

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