On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems
DOI10.1007/s10444-024-10178-9zbMATH Open1548.65081MaRDI QIDQ6614938
Xiaohui Sun, Jia-Jun Fan, Kui Du, Ya-Lan Zhang, Fang Wang
Publication date: 8 October 2024
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Krylov subspace methodsGolub-Kahan bidiagonalizationLanczos tridiagonalizationpseudoinverse solution(shifted) skew-symmetric linear systemsSaunders-Simon-Yip tridiagonalization
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10) Orthogonalization in numerical linear algebra (65F25)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Regularized conjugate gradient method for skew-symmetric indefinite system of linear equations and applications
- Preconditioned conjugate gradients for solving singular systems
- GMRES-type methods for inconsistent systems
- A note on Krylov subspace methods for singular systems
- Some results about GMRES in the singular case
- Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index
- A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers
- Structured shifts for skew-symmetric matrices
- Skew-symmetric methods for nonsymmetric linear systems with multiple right-hand sides
- Any admissible harmonic Ritz value set is possible for GMRES
- Necessary and sufficient conditions for GMRES complete and partial stagnation
- Algorithm for solving shifted skew-symmetric linear system
- Spectral behaviour of GMRES applied to singular systems
- The Idea behind Krylov Methods
- Numerical equivalences among Krylov subspace algorithms for skew-symmetric matrices
- A geometric view of Krylov subspace methods on singular systems
- Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
- A Note on the Generalized Conjugate Gradient Method
- MINRES-QLP: A Krylov Subspace Method for Indefinite or Singular Symmetric Systems
- LSMR: An Iterative Algorithm for Sparse Least-Squares Problems
- LSLQ: An Iterative Method for Linear Least-Squares with an Error Minimization Property
- GMRES On (Nearly) Singular Systems
- Iterative Solution of Skew-Symmetric Linear Systems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Two Conjugate-Gradient-Type Methods for Unsymmetric Linear Equations
- On the Equivalence of Certain Iterative Acceleration Methods
- LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
- Solution of Sparse Indefinite Systems of Linear Equations
- A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- On GMRES for Singular EP and GP Systems
- On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs
- LNLQ: An Iterative Method for Least-Norm Problems with an Error Minimization Property
- Breakdown-free GMRES for Singular Systems
- Calculating the Singular Values and Pseudo-Inverse of a Matrix
- On the Convergence of the Conjugate Gradient Method for Singular Linear Operator Equations
- Bidiagonalization of Matrices and Solution of Linear Equations
- The principle of minimized iterations in the solution of the matrix eigenvalue problem
- Methods of conjugate gradients for solving linear systems
- The N‐Step Iteration Procedures
- A unified approach to Krylov subspace methods for the Drazin-inverse solution of singular nonsymmetric linear systems
- nlTGCR: A Class of Nonlinear Acceleration Procedures Based on Conjugate Residuals
This page was built for publication: On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6614938)