Vandermonde with Arnoldi
Vandermonde matrices are exponentially ill-conditioned, rendering the familiar “polyval(polyfit)” algorithm for polynomial interpolation and least-squares fitting ineffective at higher degrees. We show that Arnoldi orthogonalization fixes the problem. This amounts to on-the-fly construction of discr...
Prif Awduron: | , , |
---|---|
Fformat: | Journal article |
Iaith: | English |
Cyhoeddwyd: |
Society for Industrial and Applied Mathematics
2021
|