DeletedAbsoluteRowSum
Returns a deleted absolute row sum of a matrix.
Syntax
-
DeletedAbsoluteRowSum(A, n)-
Ais a matrix -
nis a positive integer
-
Description
If A is a matrix, not necessarily square, and n is a valid row index in A, then DeletedAbsoluteRowSum(A, n) is the nth deleted absolute row sum of A, that is, the sum of the absolute values of all entries on the nth row of A except the diagonal entry (if any). (In a tall matrix, not every row has a diagonal entry.)
Examples
A ≔ ❨❨5, 1, 2, 1, 0❩, ❨2, 7, 1, 1, 0❩, ❨0, 1, 5, 0, 3❩, ❨1, 2, 1, 6, 1❩, ❨2, 1, 5, 0, 9❩❩
⎛5 1 2 1 0⎞ ⎜2 7 1 1 0⎟ ⎜0 1 5 0 3⎟ ⎜1 2 1 6 1⎟ ⎝2 1 5 0 9⎠
compute(DeletedAbsoluteRowSum(A, n), n, 1, size(A).rows)
4 4 4 5 8