Vandermonde with Arnoldi

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...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид:	Brubeck, PD, Nakatsukasa, Y, Trefethen, LN
Формат:	Journal article
Хэл сонгох:	English
Хэвлэсэн:	Society for Industrial and Applied Mathematics 2021

Ижил төстэй зүйлс

The vandermonde matrix and its applications /
-н: 517931 Muna Maryam Azmy, зэрэг
Хэвлэсэн: (2010)

Separability of symmetric states and vandermonde decomposition
-н: Lilong Qian, зэрэг
Хэвлэсэн: (2020-01-01)

Fast resolution of integer Vandermonde systems
-н: Rosa di Salvo, зэрэг
Хэвлэсэн: (2014-10-01)

A particular block Vandermonde matrix
-н: Yaici Malika, зэрэг
Хэвлэсэн: (2019-01-01)

On the Vandermonde determinant of Padua-like points
-н: Len Bos, зэрэг
Хэвлэсэн: (2009-01-01)

Reciprocal-log approximation and planar PDE solvers
-н: Nakatsukasa, Y, зэрэг
Хэвлэсэн: (2021)

An algorithm for real and complex rational minimax approximation
-н: Nakatsukasa, Y, зэрэг
Хэвлэсэн: (2020)

AAA rational approximation on a continuum
-н: Driscoll, T, зэрэг
Хэвлэсэн: (2024)

An Arnoldi Approach for Generation of Reduced Order Models for Turbomachinery
-н: Willcox, Karen, зэрэг
Хэвлэсэн: (2010)

Frequency-selective Vandermonde decomposition of Toeplitz matrices with applications
-н: Yang, Zai, зэрэг
Хэвлэсэн: (2020)

Extension of Chu–Vandermonde Identity and Quadratic Transformation Conditions
-н: Mohamed Jalel Atia, зэрэг
Хэвлэсэн: (2024-11-01)

Powers of the Vandermonde determinant, Schur functions, and the dimension game
-н: Cristina Ballantine
Хэвлэсэн: (2011-01-01)

A recursive algorithm for computing the inverse of the Vandermonde matrix
-н: Youness Aliyari Ghassabeh
Хэвлэсэн: (2016-12-01)

On the condition number of the Vandermonde matrix of the nth cyclotomic polynomial
-н: Scala Antonio J. Di, зэрэг
Хэвлэсэн: (2020-11-01)

Exponential node clustering at singularities for rational approximation, quadrature, and PDEs
-н: Trefethen, LN, зэрэг
Хэвлэсэн: (2021)

Rectangular eigenvalue problems
-н: Hashemi, B, зэрэг
Хэвлэсэн: (2022)

Second-Order Arnoldi Reduction Using Weighted Gaussian Kernel
-н: Rahila Malik, зэрэг
Хэвлэсэн: (2022-01-01)

Acceleration of an adaptive generalized Arnoldi method for computing PageRank
-н: Chun Wen, зэрэг
Хэвлэсэн: (2021-11-01)

The Stability Analysis of Linear Systems with Cauchy—Polynomial-Vandermonde Matrices
-н: Mutti-Ur Rehman, зэрэг
Хэвлэсэн: (2023-08-01)

Learning Coefficient of Vandermonde Matrix-Type Singularities in Model Selection
-н: Miki Aoyagi
Хэвлэсэн: (2019-06-01)

Super-resolution, Extremal Functions and the Condition Number of Vandermonde Matrices
-н: Moitra, Ankur
Хэвлэсэн: (2016)

Synonymy of Leonomyrma Arnoldi 1968 With Chalepoxenus Menozzi 1922 (Hymenoptera: Formicidae)
-н: Alfred Buschinger
Хэвлэсэн: (1987-01-01)

Notes on the Russian Endemic Ant Genus Aulacopone Arnoldi (Hymenoptera: Formicidae)
-н: Robert W. Taylor
Хэвлэсэн: (1979-01-01)

IMPLEMENTATION OF THE PARALLEL ARNOLDI METHOD IN THE IBM SP2 DISTRIBUTED MEMORY SYSTEM
-н: MICHAŁ REWIEŃSKI
Хэвлэсэн: (1997-07-01)

Re-validation of Otocinclus arnoldi Regan and reappraisal of Otocinclus phylogeny (Siluriformes: Loricariidae)
-н: Pablo Lehmann A, зэрэг

Model reduction for active control design using multiple-point Arnoldi methods
-н: Lassaux, G., зэрэг
Хэвлэсэн: (2003)

A black-box rational Arnoldi variant for Cauchy-Stieltjes matrix functions
-н: Guettel, S, зэрэг
Хэвлэсэн: (2012)

Estimation of DOA for Noncircular Signals via Vandermonde Constrained Parallel Factor Analysis
-н: Heyun Lin, зэрэг
Хэвлэсэн: (2018-01-01)

Efficient and Self-Recursive Delay Vandermonde Algorithm for Multi-Beam Antenna Arrays
-н: Sirani M. Perera, зэрэг
Хэвлэсэн: (2020-01-01)

Optimal-complexity and robust multigrid methods for high-order FEM
-н: Brubeck, PD
Хэвлэсэн: (2022)

Kasakhstania romadinae L. Arnoldi, 1960, the first representative of the tribe Mesostylini in the fauna of Russia
-н: Yu.G. Arzanov
Хэвлэсэн: (2016-12-01)

A Fast Novel Recursive Algorithm for Computing the Inverse of a Generalized Vandermonde Matrix
-н: Ahmed Arafat, зэрэг
Хэвлэсэн: (2022-12-01)

Recovery performance improvement of image compressive sensing using complex‐valued Vandermonde matrix
-н: Weiwei Qiu, зэрэг
Хэвлэсэн: (2023-11-01)

Secured Communication over Frequency-Selective Fading Channels: A Practical Vandermonde Precoding
-н: Mari Kobayashi, зэрэг
Хэвлэсэн: (2009-01-01)

Slow-Moving Channel Estimation via Vandermonde Structured Tensor Decomposition in RIS-Aided MIMO Systems
-н: Fei He, зэрэг
Хэвлэсэн: (2024-01-01)

Rational approximation of $x^n$
-н: Nakatsukasa, Y, зэрэг
Хэвлэсэн: (2018)

Integrative systematic revision of the Montseny brook newt (Calotriton arnoldi), with the description of a new subspecies
-н: Adrián Talavera, зэрэг
Хэвлэсэн: (2024-06-01)

Genomic insights into the Montseny brook newt (Calotriton arnoldi), a Critically Endangered glacial relict
-н: Adrián Talavera, зэрэг
Хэвлэсэн: (2024-01-01)

Habitat Management of the Endemic and Critical Endangered Montseny Brook Newt (<i>Calotriton arnoldi</i>)
-н: Daniel Guinart, зэрэг
Хэвлэсэн: (2022-03-01)

Una nueva especie del género Rossomyrmex Arnoldi, 1928 de Turquía (Hymenoptera, Formicidae)
-н: A. Tinaut
Хэвлэсэн: (2007-06-01)