bn:03091704n
Noun Concept
Categories: Matrices, Transforms
EN
Hankel matrix  catalecticant matrix  Hankel matrices  Hankel matrix transform  Hankel operator
EN
In linear algebra, a Hankel matrix, named after Hermann Hankel, is a square matrix in which each ascending skew-diagonal from left to right is constant, e.g.: More generally, a Hankel matrix is any n × n {\displaystyle n\times n} matrix A {\displaystyle A} of the form In terms of the components, if the i, j {\displaystyle i,j} element of A {\displaystyle A} is denoted with A i j {\displaystyle A_{ij}}, and assuming i ≤ j {\displaystyle i\leq j}, then we have A i, j = A i + k, j − k {\displaystyle A_{i,j}=A_{i+k,j-k}} for all k = 0, . .. Wikipedia
Definitions
Relations
Sources
EN
In linear algebra, a Hankel matrix, named after Hermann Hankel, is a square matrix in which each ascending skew-diagonal from left to right is constant, e.g.: More generally, a Hankel matrix is any n × n {\displaystyle n\times n} matrix A {\displaystyle A} of the form In terms of the components, if the i, j {\displaystyle i,j} element of A {\displaystyle A} is denoted with A i j {\displaystyle A_{ij}}, and assuming i ≤ j {\displaystyle i\leq j}, then we have A i, j = A i + k, j − k {\displaystyle A_{i,j}=A_{i+k,j-k}} for all k = 0, . .. Wikipedia
A square matrix in which each ascending skew-diagonal from left to right is constant Wikipedia Disambiguation