High Quality Content by WIKIPEDIA articles! The SPIKE algorithm is a hybrid parallel solver for banded linear systems developed by Eric Polizzi and Ahmed Sameh. The SPIKE algorithm deals with a linear system AX = F, where A is a banded ntimes n matrix of bandwidth much less than n, and F is an ntimes s matrix containing s right-hand sides. It is divided into a preprocessing stage and a postprocessing stage.Preprocessing stage In the preprocessing stage, the linear system AX = F is partitioned into a block tridiagonal form begin{bmatrix} boldsymbol{A}_1

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