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

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

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in: Linear algebra and its applications, Jahrgang 537 (2018), 2018, S. 100-117.

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

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@article{98dfc92fe03046029cc2b2d886f4a3a9,
title = "Decompositions of a matrix by means of its dual matrices with applications",
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.",
author = "Ik-Pyo Kim and Arnold Kr{\"a}uter",
year = "2018",
language = "English",
volume = "537 (2018)",
pages = "100--117",
journal = "Linear algebra and its applications",
issn = "0024-3795",
publisher = "Elsevier BV",

}

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 -