Decompositions of a matrix by means of its dual matrices with applications
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In: Linear algebra and its applications, Vol. 537.2018, No. 15 January, 2018, p. 100-117.
Research output: Contribution to journal › Article › Research › peer-review
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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 -
