| 1 |
For this smooth discrepancy to be "noticed" by iterative method, the points along way away need to affect each other. This will take N steps to happen as information moves slowly (one grid point per iteration) in Jacobi
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| 2 |
Then after impact, one needs to actually correct value
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| 3 |
Thus convergence takes N2 iterations
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| 4 |
On the other hand, if residual varies rapidly with position, that will be corrected quickly as only needs a few iterations for information to be communicated
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| 5 |
Thus rapidly varying residual corresponds to lowest eigenvalue
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