Is the Gauss-Seidel Iteration Method Misunderstood in Homework Solutions?

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Homework Help Overview

The discussion revolves around the Gauss-Seidel iteration method, specifically addressing a potential misunderstanding regarding the application of a formula in a homework context. Participants are examining the implications of including or excluding certain components of the formula as presented by an author.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster questions the correctness of their interpretation versus that of the author, particularly concerning a specific part of the formula that may have been overlooked. Some participants discuss the implications of selecting a particular index in the summation process and whether it affects the validity of the calculations.

Discussion Status

Participants are actively engaging in clarifying the reasoning behind the formula's application. There is a focus on carefully analyzing the indices involved in the summation, with some guidance provided on how to approach the notation and its implications. However, there is no explicit consensus on the correct interpretation yet.

Contextual Notes

There appears to be a specific focus on the indices used in the summation, particularly regarding the case when the index is set to 3, which raises questions about the validity of certain terms in the formula. The original poster's confusion stems from differing interpretations of the author's presentation.

fonseh
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Homework Statement


Using the circled formula , here's what i gt (photo3) , , why the author ignore the blue circled part ? Is the author wrong ...

If the blue part isn't ignored , i gt this pls refer to the photo 3

which is correct ? The author or me ? Or I'm misunderstanding something ?
[/B]

Homework Equations

The Attempt at a Solution

 

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From what I can see, you pick ##i = 3## so there is no question of a summation starting with ##j = i + 1 ##
 
BvU said:
From what I can see, you pick ##i = 3## so there is no question of a summation starting with ##j = i + 1 ##
what do you mean ? Can you explain further ?
 
I can not. It is a matter of you carefully reading what's printed. Write out the ##i, j, k## of the summations in full. The one in the blue frame is empty when ##i = 3##: it is a non-starter (there is no ##j = 4##).
 
BvU said:
I can not. It is a matter of you carefully reading what's printed. Write out the ##i, j, k## of the summations in full. The one in the blue frame is empty when ##i = 3##: it is a non-starter (there is no ##j = 4##).
noted， Thanks
 
You're welcome.
 
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