Decompositions of a matrix by means of its dual matrices with applications
Publikationen: Beitrag in Fachzeitschrift › Artikel › Forschung › (peer-reviewed)
Autoren
Organisationseinheiten
Externe Organisationseinheiten
- Daegu University, Gyeongbuk
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.
Details
Titel in Übersetzung | Matrixzerlegungen mithilfe ihrer dualen Matrizen mit Anwendungen |
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Originalsprache | Englisch |
Seiten (von - bis) | 100-117 |
Seitenumfang | 8 |
Fachzeitschrift | Linear algebra and its applications |
Jahrgang | 537.2018 |
Ausgabenummer | 15 January |
Frühes Online-Datum | 28 Sept. 2017 |
DOIs | |
Status | Veröffentlicht - 2018 |