Simple intuitive/graphical interpretation of the Gauss-Seidel method

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Discussion Overview

The discussion centers around seeking an intuitive or graphical interpretation of the Gauss-Seidel iterative method used for solving systems of linear equations. Participants express difficulty in understanding the underlying principles and seek clarification or visual representations.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant requests a graphical or intuitive interpretation of the Gauss-Seidel method, comparing it to the graphical representation of Newton's method.
  • Another participant expresses frustration over the lack of responses and mentions their unsuccessful attempts to graph two equations, indicating the complexity of visualizing the method.
  • A later reply suggests that the lack of responses may be due to a general unfamiliarity with numerical analysis within the forum community.

Areas of Agreement / Disagreement

Participants generally agree on the difficulty of finding an intuitive explanation for the Gauss-Seidel method, but there is no consensus on the existence of a satisfactory graphical interpretation or explanation.

Contextual Notes

Participants note challenges in visualizing the method and express uncertainty about the effectiveness of numerical analysis discussions in the forum.

O.J.
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Hi,
I am currently studying the application of Gauss Seidel iterative method for solving systems of linear equations and am having trouble understanding the principle behind it. Can some1 provide any graphical or intuitive interpretation??
thank you
 
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anyone?
 
In other words, in the same way you can illustrates Newton's method of using the first order linearization of a function at a point to draw a tangent that intersects the x-axis at a point close to the solution (and you can get infinitely closer by infinitely doing more iterations), how can you illustrate gauss seidel method?>
 
?/
 
I wondered about this too for a while but didnt come up with anything and gave up.
 
did you try asking here? i treid graphing 2 equations with 2 variables but things get messy and i can't get wats happening... i can't believe no1 here knows the catch to it... :s
 
Someone please answer my question: could you offer an intuitive explanation for the methodology of gaus seidel iterative approach for solving systems of equations? thank u
 
why is NO ONE replying?///
 
O.J. said:
why is NO ONE replying?///

Probably because no one here knows the answer, or perhaps because there is no good answer. Numerical analysis is not a strongpoint of these forums, from my experience.
 

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