(a) Let us first define an relaxation as a Jacobi relaxation on the unknowns only That is, given and we apply Show that the error iteration matrix for this relaxation is given by where is the identity matrix of size

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Question: (a) Let us first define an -relaxation as a Jacobi relaxation on the unknowns only. That is, given and we apply: Show that the error

(a) Let us first define an (a) Let us first define an -relaxation as a Jacobi relaxation on -relaxation as a Jacobi relaxation on the the unknowns only. That is, given and we apply: Show that the unknowns only. That is, given error iteration matrix for this relaxation is given by: where is the and identity matrix of size . we apply:

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Show that the error iteration matrix for this relaxation is given by:

image text in transcribed

where image text in transcribed is the identity matrix of size .

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