Decompositions of a matrix by means of its dual matrices with applications

Ik-Pyo Kim, Arnold Kräuter

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We introduce the Notion of dual matrices of an infinite Matrix A, which are defined by the dual sequences of the rows of A and naturally connected to the Pascal Matrix. We present the Cholesky decomposition of the symmetric Pascal Matrix by means of ist dual Matrix. Decompositions of a Vandermonde Matrix are used to obtain variants of the Lagrange Interpolation polynomial of degree <=n that passes through the n+1 Points (i,q_i) for i=0,1,...,n.
Translated title of the contributionMatrixzerlegungen mithilfe ihrer dualen Matrizen mit Anwendungen
Original languageEnglish
Pages (from-to)100-117
Number of pages8
JournalLinear algebra and its applications
Issue number15 January
Early online date28 Sept 2017
Publication statusPublished - 2018

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