Computing eigenvalues of quasi‐rational Bernstein–Vandermonde matrices to high relative accuracy
Author:
Affiliation:
1. School of Mathematics and Computer Science Shaanxi University of Technology Hanzhong China
2. School of Mathematics and Computational Science Xiangtan University Xiangtan China
3. School of Mathematics Hunan University Changsha China
Publisher
Wiley
Subject
Applied Mathematics,Algebra and Number Theory
Link
https://onlinelibrary.wiley.com/doi/pdf/10.1002/nla.2421
Reference43 articles.
1. Accurate eigenvalues and SVDs of totally nonnegative matrices;Koev P;SIAM J Matrix Anal Appl,2005
2. Polynomial least squares fitting in the Bernstein basis;Marco A;Linear Algebra Appl,2010
3. Accurate computations with totally positive Bernstein‐Vandermonde matrices;Marco A;Electron J Linear Algebra,2013
4. Accurate bidiagonal decomposition of totally positive Cauchy‐Vandermonde matrices and applications;Marco A;Linear Algebra Appl,2017
5. Relative perturbation analysis for eigenvalues and singular values of totally nonpositive matrices;Huang R;SIAM J Matrix Anal Appl,2015
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