A multiple shift \(QR\)-step for structured rank matrices
From MaRDI portal
Publication:1044861
DOI10.1016/j.cam.2008.11.017zbMath1179.65041OpenAlexW2029969454MaRDI QIDQ1044861
Nicola Mastronardi, Raf Vandebril, Marc Van Barel
Publication date: 15 December 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2008.11.017
eigenvaluenumerical experimentssemiseparable matricesHessenberg formstructured rank matricesnonsymmetric matrices\(QR\)-algorithmimplicit \(QR\)-algorithmsmultishift
Related Items (2)
A Wilkinson-like multishift QR algorithm for symmetric eigenvalue problems and its global convergence ⋮ On the Description and Stability of Orthogonal Transformations of Rank Structured Matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rank structures preserved by the \(QR\)-algorithm: the singular case
- A parallel QR-factorization/solver of quasiseparable matrices
- On the fast reduction of a quasiseparable matrix to Hessenberg and tridiagonal forms
- On a new class of structured matrices
- Two fast algorithms for solving diagonal-plus-semiseparable linear systems.
- A divide-and-conquer algorithm for the eigendecomposition of symmetric block-diagonal plus semiseparable matrices
- On the shifted QR iteration applied to companion matrices
- Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations
- Eigenvalue computation for unitary rank structured matrices
- Unitary rank structured matrices
- Eigenstructure of order-one-quasiseparable matrices. Three-term and two-term recurrence relations
- The QR iteration method for Hermitian quasiseparable matrices of an arbitrary order
- Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices
- An implicit \(Q\) theorem for Hessenberg-like matrices
- Structures preserved by the QR-algorithm
- Finite Boundary Value Problems Solved by Green's Matrix.
- Chasing Algorithms for the Eigenvalue Problem
- A Hessenberg Reduction Algorithm for Rank Structured Matrices
- A Givens-Weight Representation for Rank Structured Matrices
- An implicit QR algorithm for symmetric semiseparable matrices
- A note on the representation and definition of semiseparable matrices
- Fast QR Eigenvalue Algorithms for Hessenberg Matrices Which Are Rank‐One Perturbations of Unitary Matrices
- An Orthogonal Similarity Reduction of a Matrix into Semiseparable Form
This page was built for publication: A multiple shift \(QR\)-step for structured rank matrices