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authorElizabeth Alexander Hunt <me@liz.coffee>2026-07-02 11:55:17 -0700
committerElizabeth Alexander Hunt <me@liz.coffee>2026-07-02 11:55:17 -0700
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+* 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