Polynomial Preconditioned Arnoldi

Mark Embree, Jennifer Loe, Ronald B. Morgan

Type: Preprint

Publication Date: 2018-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.1806.08020

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Polynomial Preconditioned Arnoldi with Stability Control	2021	Mark Embree Jennifer Loe Ronald B. Morgan
+	Polynomial Preconditioned GMRES to Reduce Communication in Parallel Computing	2019	Jennifer Loe Heidi Thornquist Erik G. Boman
+	Preconditioned techniques for large eigenvalue problems	1997	Kesheng Wu
+ PDF Chat	Polynomial Preconditioned GMRES in Trilinos: Practical Considerations for High-Performance Computing	2020	Jennifer Loe Heidi Thornquist Erik G. Boman
+	Proxy-GMRES: Preconditioning via GMRES in Polynomial Space	2021	Xin Ye Yuanzhe Xi Yousef Saad
+	Toward efficient polynomial preconditioning for GMRES	2021	Jennifer Loe Ronald B. Morgan
+	Toward Efficient and Stable Polynomial Preconditioning for GMRES	2019	Jennifer Loe Ronald B. Morgan
+	Preconditioned Arnoldi methods for systems of nonlinear equations	2004	Leonhard Jaschke
+	New Polynomial Preconditioned GMRES.	2019	Jennifer Loe Ronald B. Morgan
+	Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations	1998	Jörg Liesen
+	Practical Use of Polynomial Preconditionings for the Conjugate Gradient Method	1985	Yousef Saad
+ PDF Chat	Polynomial preconditioning for the action of the matrix square root and inverse square root	2024	Andreas Frommer Gustavo Ramirez‐Hidalgo Marcel Schweitzer Manuel Tsolakis
+	A Polynomial Acceleration of the Projection Method for Large Nonsymmetric Eigenvalue Problems	1996	Akira Nishida Yoshio Oyanagi
+	Implementation of Implicitly Restarted Arnoldi Method on MultiGPU Architecture with Application to Fluid Dynamics Problems	2017	Nikolay M. Evstigneev
+	Parallel Implementations of the Polynomial Preconditioned Conjugate Gradient Method.	1996	Stefan Thomas
+	Polynomial Preconditioning for the Conjugate Gradient Method on Massively Parallel Systems	1995	Christof Schelthoff Achim Basermann
+	Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root	2024	Andreas Frommer Gustavo Ramirez‐Hidalgo Marcel Schweitzer Manuel Tsolakis
+ PDF Chat	Memory-efficient Arnoldi algorithms for linearizations of matrix polynomials in Chebyshev basis	2013	Daniel Kreßner José E. Román
+	Projection methods for nonlinear sparse eigenvalue problems	2006	Heinrich Voß
+	Rational Krylov Methods for Nonlinear Eigenvalue Problems	2013	Roel Van Beeumen

Works That Cite This (2)

Action	Title	Year	Authors
+	Toward Efficient and Stable Polynomial Preconditioning for GMRES	2019	Jennifer Loe Ronald B. Morgan
+	Polynomial Preconditioned GMRES to Reduce Communication in Parallel Computing	2019	Jennifer Loe Heidi Thornquist Erik G. Boman

Works Cited by This (12)

Action	Title	Year	Authors
+	Spectral Approximation of Linear Operators	2011	Françoise Chatelin
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+ PDF Chat	Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems	2000	Kesheng Wu Horst D. Simon
+ PDF Chat	On restarting the Arnoldi method for large nonsymmetric eigenvalue problems	1996	Ronald B. Morgan
+	Quasi-kernel polynomials and their use in non-Hermitian matrix iterations	1992	Roland W. Freund
+ PDF Chat	The Arnoldi Eigenvalue Iteration with Exact Shifts Can Fail	2009	Mark Embree
+	A Krylov--Schur Algorithm for Large Eigenproblems	2002	G. W. Stewart
+	A harmonic restarted Arnoldi algorithm for calculating eigenvalues and determining multiplicity	2005	Ronald B. Morgan Min Zeng
+	A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems	1992	Noël M. Nachtigal Lothar Reichel Lloyd N. Trefethen
+ PDF Chat	GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems	1986	Yousef Saad Martin H. Schultz