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diff --git a/notes/Oct-11.org b/notes/Oct-11.org new file mode 100644 index 0000000..575ea74 --- /dev/null +++ b/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 |