IsLowerTrapezoidal

Check if a rectangular (not square) m-by-n matrix is lower trapezoidal.

bool matrix::IsLowerTrapezoidal();

Return Value

True if matrix is lower trapezoidal.

Note

Zero matrix of m-by-n size is lower trapezoidal.

Check if upper triangular part above the main diagonal contains all zeros.

Lower trapezoidal matrices

v v 0 0 0 0 0 v 0 0 0 0 0
v v v 0 0 0 0 v v 0 0 0 0
v v v v 0 0 0 v v v 0 0 0
v v v v v 0 0 v v v v 0 0
v v v v v v 0 v v v v v 0
v v v v v v v v v v v v v
v v v v v v

IsUpperTrapezoidal

IsUpperHessenberg