A simple and efficient approach for computing the inverse of Vandermonde matrix is presented in this paper, which is based on synthesis division of polynomials. This approach does not involve matrix multiplication, computation of determinant or solving a system of linear equations for determining the unknown elements of the inverse matrix. Some illustrative examples are provided. Copyright © 2017 Newswood Limited.
|Title of host publication||Proceedings of the World Congress on Engineering 2017|
|Editors||S. I. AO, Len GELMAN, David W. L. HUKINS, Andrew HUNTER, A. M. KORSUNSKY|
|Place of Publication||Hong Kong|
|Publication status||Published - 2017|
System of Linear Equations
CitationMan, Y.-K. (2017). On computing the vandermonde matrix inverse. In S. I. Ao, L. Gelman, D. W. L. Hukins, A. Hunter, & A. M. Korsunsky (Eds.), Proceedings of the World Congress on Engineering 2017 (pp. 127-129). Hong Kong: Newswood Limited.
- Vandermonde matrix
- Matrix inverse
- Synthetic division