TY - JOUR

T1 - Decompositions of a matrix by means of its dual matrices with applications

AU - Kim, Ik-Pyo

AU - Kräuter, Arnold

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

U2 - 10.1016/j.laa.2017.09.031

DO - 10.1016/j.laa.2017.09.031

M3 - Article

VL - 537.2018

SP - 100

EP - 117

JO - Linear algebra and its applications

JF - Linear algebra and its applications

SN - 0024-3795

IS - 15 January

ER -