IsUpperBidiagonal

Tests if a matrix is upper bidiagonal.

Syntax

• IsUpperBidiagonal(A[, ε])

  • A is a matrix

  • ε is a positive number

Description

If A is a matrix then IsUpperBidiagonal(A, ε) is true iff A is square and i ≠ j and i ≠ j − 1 implies A[i, j] = 0 (with epsilon ε).

Examples

❨❨1, 2, 0, 0❩, ❨0, 2, 3, 0❩, ❨0, 0, 1, 0❩, ❨0, 0, 0, 5❩❩

⎛1  2  0  0⎞
⎜0  2  3  0⎟
⎜0  0  1  0⎟
⎝0  0  0  5⎠

IsUpperBidiagonal(ans)

true

See also

• IsBidiagonal

• IsLowerBidiagonal

• IsDiagonal

• IsTridiagonal