DeletedAbsoluteRowSum
Returns a deleted absolute row sum of a matrix.
Syntax

DeletedAbsoluteRowSum(A, n)

A
is a matrix 
n
is 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 n
th deleted absolute row sum of A
, that is, the sum of the absolute values of all entries on the n
th 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