IsLowerBidiagonal

Tests if a matrix is lower bidiagonal.

Syntax

• IsLowerBidiagonal(A[, ε])

  • A is a matrix

  • ε is a positive number

Description

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

Examples

❨❨3, 0, 0, 0❩, ❨1, 2, 0, 0❩, ❨0, 4, 1, 0❩, ❨0, 0, 0, 1❩❩

⎛3  0  0  0⎞
⎜1  2  0  0⎟
⎜0  4  1  0⎟
⎝0  0  0  1⎠

IsLowerBidiagonal(ans)

true

See also

• IsBidiagonal

• IsUpperBidiagonal

• IsDiagonal

• IsTridiagonal