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author | Elizabeth Hunt <elizabeth.hunt@simponic.xyz> | 2023-10-11 10:04:04 -0600 |
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committer | Elizabeth Hunt <elizabeth.hunt@simponic.xyz> | 2023-10-11 10:04:04 -0600 |
commit | 43f06890e2689af2ef54c4480fe5790692a24f65 (patch) | |
tree | b933f3e05aad81d780c0c94646676efa1bbad22d /notes/Oct-11.org | |
parent | a74a732b27fb610133190e89a91b2d42d0cf78b3 (diff) | |
download | cmath-43f06890e2689af2ef54c4480fe5790692a24f65.tar.gz cmath-43f06890e2689af2ef54c4480fe5790692a24f65.zip |
deprecate common lisp solutions and write c; it's too much effort to keep up with the requirements for an archive.
Diffstat (limited to 'notes/Oct-11.org')
-rw-r--r-- | notes/Oct-11.org | 15 |
1 files changed, 15 insertions, 0 deletions
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 |