The numerical rank of Krylov matrices
type: Item
instance of: scholarly article
title: The numerical rank of Krylov matrices
zbMATH Open document ID: 1398.15003
author: Achiya Dax
published in: Linear Algebra and its Applications
publication date: 2018-10-10T00:00:00Z
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F25
zbMATH DE Number: 6950128
zbMATH Keywords: numerical rank
zbMATH Keywords: Krylov matrices
zbMATH Keywords: Krylov subspaces
zbMATH Keywords: symmetric matrices
zbMATH Keywords: Vandermonde matrices
zbMATH Keywords: partition theorems
zbMATH Keywords: clustering theorems
zbMATH Keywords: Vandermonde-Pascal-Toeplitz equality
describes a project that uses: TRLan
describes a project that uses: JDQZ
describes a project that uses: IRAM
describes a project that uses: JDQR
describes a project that uses: mctoolbox
describes a project that uses: a-TRLan
MaRDI profile type: Publication
full work available at URL: j.laa.2016.07.022
OpenAlex ID: W2493340620
cites work: The Matrices of Pascal and Other Greats
cites work: The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
cites work: Q4868585
cites work: Solution of Vandermonde systems of equations
cites work: The linear algebra of the Pascal matrix
cites work: Pascal's Matrices
cites work: An implicit restarted Lanczos method for large symmetric eigenvalue problems
cites work: On extremum properties of orthogonal quotients matrices
cites work: Pascal Matrices
cites work: On a connection between the Pascal, Vandermonde and Stirling matrices. II.
cites work: On inverses of Vandermonde and confluent Vandermonde matrices
cites work: Norm estimates for inverses of Vandermonde matrices
cites work: Optimally conditioned Vandermonde matrices
cites work: Q3488301
cites work: Lower bounds for the condition number of Vandermonde matrices
cites work: Q4917542
cites work: Accuracy and Stability of Numerical Algorithms
cites work: Walter Gautschi, Volume 2. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh
cites work: Approximation of monomials by lower degree polynomials
cites work: Q3868672
cites work: Approximations to \(x^ n\) and \(| x|\)- a survey
cites work: Numerical Methods for Large Eigenvalue Problems
cites work: Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
cites work: Q4220521
cites work: Matrix algorithms. Vol. 2: Eigensystems
cites work: Associated Polynomials and Uniform Methods for the Solution of Linear Problems
cites work: How bad are Hankel matrices?
cites work: The Matrix Eigenvalue Problem
cites work: Q5674306
cites work: Thick-restart Lanczos method for large symmetric eigenvalue problems
cites work: Adaptive Projection Subspace Dimension for the Thick-Restart Lanczos Method
cites work: On a connection between the Pascal, Stirling and Vandermonde matrices
DOI: 10.1016/J.LAA.2016.07.022
description: scientific article; zbMATH DE number 6950128