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

Ik-Pyo Kim; Arnold Kräuter

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

Titel in Übersetzung: Matrixzerlegungen mithilfe ihrer dualen Matrizen mit Anwendungen

Ik-Pyo Kim, Arnold Kräuter

Lehrstuhl für Mathematik, Statistik und Geometrie (380)

Daegu University, Gyeongbuk

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Begutachtung

1 Zitat (Scopus)

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.

Titel in Übersetzung	Matrixzerlegungen mithilfe ihrer dualen Matrizen mit Anwendungen
Originalsprache	Englisch
Seiten (von - bis)	100-117
Fachzeitschrift	Linear algebra and its applications
Jahrgang	537 (2018)
Publikationsstatus	Veröffentlicht - 2018

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https://doi.org/10.1016/j.laa.2017.09.031Lizenz: nicht spezifiziert

Duale Matrizen, Matrizenfaktorisierungen und Lagrange-Interpolation
Arnold Kräuter (Redner)
6 Feb. 2018
Aktivität: Gespräch oder Vortrag › Mündliche Präsentation

Dieses zitieren

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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.

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

Abstract

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Aktivitäten

Duale Matrizen, Matrizenfaktorisierungen und Lagrange-Interpolation

Dieses zitieren