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A note on the determinant of a Toeplitz-Hessenberg matrix

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: M. Merca

Editorial: Special Matrices, 1, p.10-16, 2013.

Rezumat:

The nth-order determinant of a Toeplitz-Hessenberg matrix is expressed as a sum over the integer partitions of n. Many combinatorial identities involving integer partitions and multinomial coefficients can be generated using this formula.

Cuvinte cheie: Toeplitz-Hessenberg matrix, integer partition, multinomial coefficient

URL: http://www.degruyter.com/view/j/spma.2013.1.issue/spma-2013-0003/spma-2013-0003.xml