IsHankel

Tests if a matrix is Hankel.

Syntax

• IsHankel(A[, ε])

  • A is a matrix

  • ε is a positive number

Description

If A is a matrix, then IsHankel(A, ε) returns true iff A is a Hankel matrix, that is, iff A[i, j] = A[i − 1, j + 1] for all indices i, j for which the equation is defined. Floating-point comparisons are made with epsilon ε.

Note that IsHankel(A, ε) might be true even if A is not square.

Examples

A ≔ ❨❨1, 4, 1, 5, 9, 2❩, ❨4, 1, 5, 9, 2, 0❩, ❨1, 5, 9, 2, 0, 7❩, ❨5, 9, 2, 0, 7, 3❩❩

⎛1  4  1  5  9  2⎞
⎜4  1  5  9  2  0⎟
⎜1  5  9  2  0  7⎟
⎝5  9  2  0  7  3⎠

IsHankel(A)

true

See also

• HankelMatrix

• IsToeplitz

• IsCirculant