Decompositions of a matrix by means of its dual matrices with applications
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External Organisational units
- Daegu University, Gyeongbuk
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|
|Journal||Linear algebra and its applications|
|Publication status||Published - 2018|