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Abstract
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 contribution  Matrixzerlegungen mithilfe ihrer dualen Matrizen mit Anwendungen 

Original language  English 
Pages (fromto)  100117 
Journal  Linear algebra and its applications 
Volume  537 (2018) 
Publication status  Published  2018 
Activities
 1 Oral presentation

Duale Matrizen, Matrizenfaktorisierungen und LagrangeInterpolation
Arnold Kräuter (Speaker)
6 Feb 2018Activity: Talk or presentation › Oral presentation