# Decompositions of a matrix by means of its dual matrices with applications

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**Decompositions of a matrix by means of its dual matrices with applications.** / Kim, Ik-Pyo; Kräuter, Arnold.

Research output: Contribution to journal › Article › Research › peer-review

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*Linear algebra and its applications*, vol. 537 (2018), pp. 100-117. <https://doi.org/10.1016/j.laa.2017.09.031>

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*Linear algebra and its applications*,

*537 (2018)*, 100-117. https://doi.org/10.1016/j.laa.2017.09.031

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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.

M3 - Article

VL - 537 (2018)

SP - 100

EP - 117

JO - Linear algebra and its applications

JF - Linear algebra and its applications

SN - 0024-3795

ER -