Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772927 | Linear Algebra and its Applications | 2018 | 18 Pages |
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 P=[(ij)](i,j=0,1,2,â¦). We present the Cholesky decomposition of the symmetric Pascal matrix by means of its dual matrix. Decompositions of a Vandermonde matrix are used to obtain variants of the Lagrange interpolation polynomial of degree â¤n that passes through the n+1 points (i,qi) for i=0,1,â¦,n.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ik-Pyo Kim, Arnold R. Kräuter,