Decompositions of a matrix by means of its dual matrices with applications
Research output: Contribution to journal › Article › Research › peer-review
Authors
Organisational units
External Organisational units
- 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
| Translated title of the contribution | Matrixzerlegungen mithilfe ihrer dualen Matrizen mit Anwendungen |
|---|---|
| Original language | English |
| Pages (from-to) | 100-117 |
| Number of pages | 8 |
| Journal | Linear algebra and its applications |
| Volume | 537.2018 |
| Issue number | 15 January |
| Early online date | 28 Sept 2017 |
| DOIs | |
| Publication status | Published - 2018 |
