From 6bf4b90c90f15f4ab60833bddf5b5756d1a6b1f6 Mon Sep 17 00:00:00 2001 From: Elizabeth Alexander Hunt Date: Thu, 2 Jul 2026 11:55:17 -0700 Subject: Init --- Homework/math4610/notes/Oct-11.org | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 Homework/math4610/notes/Oct-11.org (limited to 'Homework/math4610/notes/Oct-11.org') 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 -- cgit v1.3