SPIKE Algorithm
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Geliefert zwischen Mi., 22.10.2025 und Do., 23.10.2025
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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 & boldsymbol{B}1 boldsymbol{C}2 & boldsymbol{A}2 & boldsymbol{B}2 & ddots & ddots & ddots && boldsymbol{C}{p-1} & boldsymbol{A}{p-1} & boldsymbol{B}{p-1} &&& boldsymbol{C}p & boldsymbol{A}p end{bmatrix} begin{bmatrix} boldsymbol{X}1 boldsymbol{X}2 vdots boldsymbol{X}{p-1} boldsymbol{X}p end{bmatrix} = begin{bmatrix} boldsymbol{F}1 boldsymbol{F}2 vdots boldsymbol{F}{p-1} boldsymbol{F}p end{bmatrix}.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786131189180
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131189180
- Format Fachbuch
- Titel SPIKE Algorithm
- Herausgeber Betascript Publishing
- Anzahl Seiten 104
- Genre Mathematik
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