Avoiding Communication in Two-Sided Krylov Subspace Methods
暂无分享,去创建一个
[1] Anthony T. Chronopoulos,et al. s-step iterative methods for symmetric linear systems , 1989 .
[2] Lothar Reichel,et al. On the generation of Krylov subspace bases , 2012 .
[3] David J. Evans,et al. Models of Asynchronous Parallel Matrix Multisplitting Relaxed Iterations , 1995, Parallel Comput..
[4] John Shalf,et al. SEJITS: Getting Productivity and Performance With Selective Embedded JIT Specialization , 2010 .
[5] D. O’Leary. The block conjugate gradient algorithm and related methods , 1980 .
[6] Sivan Toledo,et al. Quantitative performance modeling of scientific computations and creating locality in numerical algorithms , 1995 .
[7] Graham F. Carey,et al. Parallelizable Restarted Iterative Methods for Nonsymmetric Linear Systems , 1991, PPSC.
[8] Sivan Toledo,et al. Efficient Out-of-Core Algorithms for Linear Relaxation Using Blocking Covers , 1997, J. Comput. Syst. Sci..
[9] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[10] John Van Rosendale. Minimizing Inner Product Data Dependencies in Conjugate Gradient Iteration , 1983, ICPP.
[11] G. Meurant. The block preconditioned conjugate gradient method on vector computers , 1984 .
[12] Henk A. van der Vorst,et al. Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..
[13] Gerard L. G. Sleijpen,et al. Reliable updated residuals in hybrid Bi-CG methods , 1996, Computing.
[14] Y. Saad,et al. Practical Use of Polynomial Preconditionings for the Conjugate Gradient Method , 1985 .
[15] Gene H. Golub,et al. The block Lanczos method for computing eigenvalues , 2007, Milestones in Matrix Computation.
[16] Elizabeth R. Jessup,et al. On Improving Linear Solver Performance: A Block Variant of GMRES , 2005, SIAM J. Sci. Comput..
[17] L. Reichel. Newton interpolation at Leja points , 1990 .
[18] Katherine Yelick,et al. OSKI: A library of automatically tuned sparse matrix kernels , 2005 .
[19] Mark Hoemmen,et al. Communication-avoiding Krylov subspace methods , 2010 .
[20] Timothy A. Davis,et al. The university of Florida sparse matrix collection , 2011, TOMS.
[21] R. Fletcher. Conjugate gradient methods for indefinite systems , 1976 .
[22] L. Elsner,et al. Models of parallel chaotic iteration methods , 1988 .
[23] Martin H. Gutknecht,et al. Lanczos-type solvers for nonsymmetric linear systems of equations , 1997, Acta Numerica.
[24] P. Sonneveld. CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems , 1989 .
[25] J. Demmel,et al. Avoiding Communication in Computing Krylov Subspaces , 2007 .
[26] Gérard M. Baudet,et al. Asynchronous Iterative Methods for Multiprocessors , 1978, JACM.
[27] James Demmel,et al. Minimizing communication in sparse matrix solvers , 2009, Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis.
[28] James Demmel,et al. Minimizing Communication in Numerical Linear Algebra , 2009, SIAM J. Matrix Anal. Appl..
[29] D. Hut. A Newton Basis Gmres Implementation , 1991 .
[30] W. Deren. On the convergence of the parallel multisplitting AOR algorithm , 1991 .
[31] Alan LaMielle,et al. Computer Science Technical Report Enabling Code Generation within the Sparse Polyhedral Framework Enabling Code Generation within the Sparse Polyhedral Framework , 2010 .
[32] Richard R. Underwood. An iterative block Lanczos method for the solution of large sparse symmetric eigenproblems , 1975 .
[33] Andrés Tomás,et al. Parallel Arnoldi eigensolvers with enhanced scalability via global communications rearrangement , 2007, Parallel Comput..
[34] Ankit Jain. pOSKI : An Extensible Autotuning Framework to Perform Optimized SpMVs on Multicore Architectures , 2008 .
[35] Sivan Toledo,et al. Efficient out-of-core algorithms for linear relaxation using blocking covers , 1993, Proceedings of 1993 IEEE 34th Annual Foundations of Computer Science.
[36] J. Cullum,et al. A block Lanczos algorithm for computing the q algebraically largest eigenvalues and a corresponding eigenspace of large, sparse, real symmetric matrices , 1974, CDC 1974.
[37] H. Walker,et al. Note on a Householder implementation of the GMRES method , 1986 .
[38] Zdenek Strakos,et al. Accuracy of Two Three-term and Three Two-term Recurrences for Krylov Space Solvers , 2000, SIAM J. Matrix Anal. Appl..
[39] H. T. Kung,et al. I/O complexity: The red-blue pebble game , 1981, STOC '81.
[40] H. Walker. Implementation of the GMRES method using householder transformations , 1988 .
[41] W. Joubert,et al. Parallelizable restarted iterative methods for nonsymmetric linear systems. part I: Theory , 1992 .
[42] P. Comba,et al. Part I. Theory , 2007 .
[43] Richard Barrett,et al. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods , 1994, Other Titles in Applied Mathematics.