In linear algebra, a Toeplitz matrix, named in honor of Otto Toeplitz, is a square matrix in which the elements of its diagonals (from left to right) are constant. A Toeplitz array has the following structure:
T = ( a b c d e f a b c d g f a b c h g f a b j h g f a ) {\displaystyle T={\begin{pmatrix}a&b&c&d&e\\f&a&b&c&d\\g&f&a&b&c\\h&g&f&a&b\\j&h&g&f&a\end{pmatrix}}}
In mathematical terms:
& # x2200; a i , j & # x2208; T & # x2192; a i , j = a i + 1 , j + 1 {\displaystyle \forall \quad a_{i,j}\in T\to a_{i,j}=a_{i+1,j+1}}
The Toeplitz matrix is intimately linked to Hankel's matrix since Hankel's matrix is a Toeplitz matrix spinning around.
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