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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 
Number of pages  8 
Journal  Linear algebra and its applications 
Volume  537.2018 
Issue number  15 January 
Early online date  28 Sept 2017 
DOIs  
Publication status  Published  2018 
Activities
 1 Oral presentation

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