(a). Design an SOR method based on Jacobi iteration. Write out the iteration step, i.e., the formula to compute æ+¹ for (i = 1,...,n) when given a for (i = 1,...,n). „k+1 (b). Write the matrix formula for this SOR method.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
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7.5 SOR with Jacobi iterations
(a). Design an SOR method based on Jacobi iteration. Write out the iteration step,
i.e., the formula to compute +¹ for (i = 1,...,n) when given x for (i = 1,...,n).
(b). Write the matrix formula for this SOR method.
Transcribed Image Text:7.5 SOR with Jacobi iterations (a). Design an SOR method based on Jacobi iteration. Write out the iteration step, i.e., the formula to compute +¹ for (i = 1,...,n) when given x for (i = 1,...,n). (b). Write the matrix formula for this SOR method.
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