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(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 image text in transcribed-relaxation as a Jacobi relaxation on the image text in transcribed unknowns only. That is, given image text in transcribed and image text in transcribed we apply:

image text in transcribed

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 image text in transcribed.

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