379 B
379 B
Diagonal Dominance
Suppose that A ∈ Rn × n is diagonally dominant then Gaussian eliminiation of A produces no zero pivot elements.
Def. A ∈ Rn × n is diagonally dominant if for each i=1,2,…n |ai,i| ≥ Σj=1^n |a_i,j|
To test solution code:
[[1] [1] Set y = [⋯] ∈ R^n [1]]
Compute b=Ay Solve Ax=b