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...

সম্পূর্ণ বিবরণ

গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Brubeck, PD, Nakatsukasa, Y, Trefethen, LN
বিন্যাস: Journal article
ভাষা:English
প্রকাশিত: Society for Industrial and Applied Mathematics 2021