JOURNAL ARTICLE

Fast factorization of rectangular Vandermonde matrices with Chebyshev nodes

Mykhailo KuianLothar ReichelSergij V. Shiyanovskii

Year: 2018 Journal:   Numerical Algorithms Vol: 81 (2)Pages: 547-559   Publisher: Springer Science+Business Media
Keywords:
Vandermonde matrix Mathematics Chebyshev nodes Chebyshev polynomials Polynomial matrix Matrix polynomial Alternating polynomial QR decomposition Interpolation (computer graphics) Factorization Polynomial interpolation Chebyshev equation Polynomial Matrix (chemical analysis) Applied mathematics Combinatorics Mathematical analysis Linear interpolation Orthogonal polynomials Algorithm Classical orthogonal polynomials Computer science

Metrics

3
Cited By
0.25
FWCI (Field Weighted Citation Impact)
15
Refs
0.53
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Matrix Theory and Algorithms
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Numerical methods for differential equations
Physical Sciences →  Mathematics →  Numerical Analysis
Polynomial and algebraic computation
Physical Sciences →  Computer Science →  Computational Theory and Mathematics

Related Documents

JOURNAL ARTICLE

Rectangular Vandermonde matrices on Chebyshev nodes

A. EisinbergGiuseppe FranzèN. Salerno

Journal:   Linear Algebra and its Applications Year: 2001 Vol: 338 (1-3)Pages: 27-36
JOURNAL ARTICLE

Vandermonde matrices with Chebyshev nodes

Ren‐Cang Li

Journal:   Linear Algebra and its Applications Year: 2007 Vol: 428 (8-9)Pages: 1803-1832
JOURNAL ARTICLE

Fast inversion of Chebyshev--Vandermonde matrices

Israel GohbergVadim Olshevsky

Journal:   Numerische Mathematik Year: 1994 Vol: 67 (1)Pages: 71-92
JOURNAL ARTICLE

Fast QR factorization of Vandermonde matrices

Cédric Demeure

Journal:   Linear Algebra and its Applications Year: 1989 Vol: 122-124 Pages: 165-194
JOURNAL ARTICLE

Vandermonde matrices on integer nodes: the rectangular case

A. EisinbergPaolo PuglieseNicola Salerno

Journal:   Numerische Mathematik Year: 2001 Vol: 87 (4)Pages: 663-674
© 2026 ScienceGate Book Chapters — All rights reserved.