Properties of semi-conjugate gradient methods for solving unsymmetric positive definite linear systems
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Publication:6078421
DOI10.1080/10556788.2023.2189716arXiv2206.02951MaRDI QIDQ6078421
Yu-Hong Dai, Dominique Orban, Na Huang, Michael A. Saunders
Publication date: 27 September 2023
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.02951
Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Orthogonalization in numerical linear algebra (65F25)
Cites Work
- Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration
- Unsymmetric positive definite linear systems
- Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations
- Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
- Iterative solution methods for certain sparse linear systems with a non- symmetric matrix arising from PDE-problems
- QMR: A quasi-minimal residual method for non-Hermitian linear systems
- The Tchebychev iteration for nonsymmetric linear systems
- An analysis of the composite step biconjugate gradient method
- Semi-conjugate direction methods for real positive definite systems
- The university of Florida sparse matrix collection
- LSMR: An Iterative Algorithm for Sparse Least-Squares Problems
- Study on semi-conjugate direction methods for non-symmetric systems
- Algorithm 866
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Two Conjugate-Gradient-Type Methods for Unsymmetric Linear Equations
- CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
- LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems
- Iterative Solution Methods
- BiLQ: An Iterative Method for Nonsymmetric Linear Systems with a Quasi-Minimum Error Property
- The principle of minimized iterations in the solution of the matrix eigenvalue problem
- Methods of conjugate gradients for solving linear systems
- Benchmarking optimization software with performance profiles.
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