ToeplitzMatrix

ToeplitzMatrix[n]

gives the n×n Toeplitz matrix with first row and first column being successive integers.

ToeplitzMatrix[{c1,c2,,cn}]

gives the Toeplitz matrix whose first column consists of elements c1, c2, .

ToeplitzMatrix[{c1,c2,,cm},{r1,r2,, rn}]

gives the Toeplitz matrix with elements ci down the first column, and ri across the first row.

Details

  • The element r1 must be the same as c1. »

Examples

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Basic Examples  (3)

4×4 Toeplitz matrix:

In[1]:=
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Out[1]//MatrixForm=
In[1]:=
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Out[1]//MatrixForm=

Toeplitz matrix with first column {c1,} and first row {c1,r2,}:

In[1]:=
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Out[1]//MatrixForm=

Scope  (5)

Properties & Relations  (4)

Possible Issues  (1)

Neat Examples  (1)

See Also

HankelMatrix  HilbertMatrix  Table  PadRight  Band

Introduced in 2007
(6.0)