(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.
(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
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca88f942-5df3-4e8a-8263-1f78e8a64e58%2Fcae4e942-f3c3-41ad-aff5-25d34e90dbb7%2F58kzae_processed.png&w=3840&q=75)
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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