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[1] Y. Saad,et al. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .
[2] Miroslav Rozlozník,et al. Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES , 2006, SIAM J. Matrix Anal. Appl..
[3] Hartwig Anzt,et al. A Modular Precision Format for Decoupling Arithmetic Format and Storage Format , 2018, Euro-Par Workshops.
[4] H. V. D. Vorst,et al. The superlinear convergence behaviour of GMRES , 1993 .
[5] Zdenek Strakos,et al. Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods , 2001, SIAM J. Sci. Comput..
[6] Elizabeth R. Jessup,et al. On improving the performance of the linear solver restarted gmres , 2003 .
[7] Julien Langou,et al. Mixed Precision Iterative Refinement Techniques for the Solution of Dense Linear Systems , 2007, Int. J. High Perform. Comput. Appl..
[8] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[9] Serge Gratton,et al. Exploiting variable precision in GMRES , 2019, ArXiv.
[10] M. Rozložník,et al. The loss of orthogonality in the Gram-Schmidt orthogonalization process , 2005 .
[11] Peter Lindstrom,et al. Fixed-Rate Compressed Floating-Point Arrays , 2014, IEEE Transactions on Visualization and Computer Graphics.
[12] Daniel Sunderland,et al. Kokkos: Enabling manycore performance portability through polymorphic memory access patterns , 2014, J. Parallel Distributed Comput..
[13] Layne T. Watson,et al. Mixed-Precision Preconditioners in Parallel Domain Decomposition Solvers , 2008 .
[14] John L. Gustafson,et al. Beating Floating Point at its Own Game: Posit Arithmetic , 2017, Supercomput. Front. Innov..
[15] Timothy A. Davis,et al. The university of Florida sparse matrix collection , 2011, TOMS.
[16] Julien Langou,et al. Accelerating scientific computations with mixed precision algorithms , 2008, Comput. Phys. Commun..
[17] W. Arnoldi. The principle of minimized iterations in the solution of the matrix eigenvalue problem , 1951 .
[18] Xiaomei Yang. Rounding Errors in Algebraic Processes , 1964, Nature.
[19] Franck Cappello,et al. Error-Controlled Lossy Compression Optimized for High Compression Ratios of Scientific Datasets , 2018, 2018 IEEE International Conference on Big Data (Big Data).
[20] Elizabeth R. Jessup,et al. A Technique for Accelerating the Convergence of Restarted GMRES , 2005, SIAM J. Matrix Anal. Appl..
[21] Hartwig Anzt,et al. Mixed Precision Iterative Refinement Methods for Linear Systems: Convergence Analysis Based on Krylov Subspace Methods , 2010, PARA.
[22] M. Rozložník,et al. Numerical behaviour of the modified gram-schmidt GMRES implementation , 1997 .
[23] Nicholas J. Higham,et al. A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems , 2017, SIAM J. Sci. Comput..
[24] Christopher C. Paige,et al. A Useful Form of Unitary Matrix Obtained from Any Sequence of Unit 2-Norm n-Vectors , 2009, SIAM J. Matrix Anal. Appl..