HankelMatrix
HankelMatrix[n]
gives the n×n Hankel matrix with first row and first column being successive integers.
HankelMatrix[{c1,c2,…,cn}]
gives the Hankel matrix whose first column consists of elements c1, c2, ….
HankelMatrix[{c1,c2,…,cm},{r1,r2,…, rn}]
gives the Hankel matrix with elements ci down the first column, and ri across the last row.
Examples
open allclose allScope (4)
Properties & Relations (5)
The determinant of the Hankel matrix of size is
:
A square Hankel matrix with real entries is symmetric:
HankelMatrix[c,RotateRight[c]] is a square anticirculant matrix:
Square anticirculant matrices have eigenvector {1,…} with eigenvalue c1+c2+…:
HankelMatrix and ToeplitzMatrix are related by a reversed identity matrix:
Neat Examples (1)
Text
Wolfram Research (2007), HankelMatrix, Wolfram Language function, https://reference.wolfram.com/language/ref/HankelMatrix.html.
CMS
Wolfram Language. 2007. "HankelMatrix." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/HankelMatrix.html.
APA
Wolfram Language. (2007). HankelMatrix. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/HankelMatrix.html