Text

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 discrete orthogonal polynomials by Stieltjes orthogonalization.

Ketersediaan

Informasi Detail

Judul Seri

SIAM REVIEW; Vol.63 No.2 June 2021

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 405 - 415

Bahasa

English

ISBN/ISSN

-

Klasifikasi

-

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

INTERPOLATION
LEAST-SQUARES
VANDERMONDE MATRIX
ARNOLDI
POLYVAL
POLYFIT
FOURIER EXTENSION

Info Detail Spesifik

https://doi.org/10.1137/19M130100X

Pernyataan Tanggungjawab

Pablo D. Brubeck, Yuji Nakatsukasa, Lloyd N. Trefethen

Versi lain/terkait

Lampiran Berkas

Komentar