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| author | Elizabeth Alexander Hunt <me@liz.coffee> | 2026-07-02 11:55:17 -0700 |
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| committer | Elizabeth Alexander Hunt <me@liz.coffee> | 2026-07-02 11:55:17 -0700 |
| commit | 6bf4b90c90f15f4ab60833bddf5b5756d1a6b1f6 (patch) | |
| tree | ed97e39ec77c5231ffd2c394493e68d00ddac5a4 /Homework/math4610/notes/Oct-11.org | |
| download | misc-undergrad-main.tar.gz misc-undergrad-main.zip | |
Diffstat (limited to 'Homework/math4610/notes/Oct-11.org')
| -rw-r--r-- | Homework/math4610/notes/Oct-11.org | 15 |
1 files changed, 15 insertions, 0 deletions
diff --git a/Homework/math4610/notes/Oct-11.org b/Homework/math4610/notes/Oct-11.org new file mode 100644 index 0000000..575ea74 --- /dev/null +++ b/Homework/math4610/notes/Oct-11.org @@ -0,0 +1,15 @@ +* Diagonal Dominance +Suppose that A \in R^{n \times n} is diagonally dominant then Gaussian eliminiation of A produces no zero pivot +elements. + +Def. A \in R^{n \times n} is diagonally dominant if for each i=1,2,...n |a_{i,i}| \geq \Sigma_{j=1}^n |a_i,j| + + +* To test solution code: + [[1] + [1] +Set y = [\cdots] \in R^n + [1]] + +Compute b=Ay +Solve Ax=b |
