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ToeplitzMatrix

ToeplitzMatrix[n]
gives the n×n Toeplitz matrix with first row and first column being successive integers.
ToeplitzMatrix
gives the Toeplitz matrix whose first column consists of elements , , ....
ToeplitzMatrix
gives the Toeplitz matrix with elements down the first column, and across the first row.
  • The element must be the same as . »
4×4 Toeplitz matrix:
Toeplitz matrix with first column and first row :
4×4 Toeplitz matrix:
In[1]:=
Click for copyable input
Out[1]//MatrixForm=
 
In[1]:=
Click for copyable input
Out[1]//MatrixForm=
 
Toeplitz matrix with first column and first row :
In[1]:=
Click for copyable input
Out[1]//MatrixForm=
Machine-number Toeplitz matrix:
20-digit-precision Toeplitz matrix:
Toeplitz matrices with complex entries:
Nonsquare Toeplitz matrices:
A common symbolic notation for Toeplitz matrices:
Size-20 Toeplitz matrix:
ToeplitzMatrix is Hermitian if is real:
has all real eigenvalues:
is diagonalizable by a unitary matrix:
ToeplitzMatrix is a circulant matrix when r=RotateRight[Reverse[c]]:
The eigenvalues can be found from:
where is the Fourier matrix and is DiagonalMatrix[v]:
HankelMatrix and ToeplitzMatrix are related by reversed identity matrix:
When is not the same as , the value of is used and ignored:
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