A Hierarchical Low Rank Schur Complement Preconditioner for Indefinite Linear Systems
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Yousef Saad | Vassilis Kalantzis | Yuanzhe Xi | Geoffrey Dillon | Y. Saad | Yuanzhe Xi | Geoffrey Dillon | V. Kalantzis
[1] Owe Axelsson,et al. Block preconditioning and domain decomposition methods. II , 1988 .
[2] Patrick R. Amestoy,et al. An Approximate Minimum Degree Ordering Algorithm , 1996, SIAM J. Matrix Anal. Appl..
[3] Edmond Chow,et al. Approximate Inverse Preconditioners via Sparse-Sparse Iterations , 1998, SIAM J. Sci. Comput..
[4] Yousef Saad,et al. An Algebraic Multilevel Preconditioner with Low-Rank Corrections for Sparse Symmetric Matrices , 2016, SIAM J. Matrix Anal. Appl..
[5] Yousef Saad,et al. ARMS: an algebraic recursive multilevel solver for general sparse linear systems , 2002, Numer. Linear Algebra Appl..
[6] Jianlin Xia,et al. Fast Sparse Selected Inversion , 2015, SIAM J. Matrix Anal. Appl..
[7] Yousef Saad,et al. Schur complement‐based domain decomposition preconditioners with low‐rank corrections , 2015, Numer. Linear Algebra Appl..
[8] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[9] J. Demmel,et al. On swapping diagonal blocks in real Schur form , 1993 .
[10] Kent-André Mardal,et al. Preconditioning discretizations of systems of partial differential equations , 2011, Numer. Linear Algebra Appl..
[11] Jianlin Xia,et al. Fast algorithms for hierarchically semiseparable matrices , 2010, Numer. Linear Algebra Appl..
[12] Yousef Saad,et al. ILUM: A Multi-Elimination ILU Preconditioner for General Sparse Matrices , 1996, SIAM J. Sci. Comput..
[13] Yousef Saad,et al. A Rational Function Preconditioner For Indefinite Sparse Linear Systems , 2017, SIAM J. Sci. Comput..
[14] Yousef Saad,et al. A Flexible Inner-Outer Preconditioned GMRES Algorithm , 1993, SIAM J. Sci. Comput..
[15] Gene H. Golub,et al. A Note on Preconditioning for Indefinite Linear Systems , 1999, SIAM J. Sci. Comput..
[16] Edmond Chow,et al. Approximate Inverse Techniques for Block-Partitioned Matrices , 1997, SIAM J. Sci. Comput..
[17] Timothy A. Davis,et al. Algorithm 837: AMD, an approximate minimum degree ordering algorithm , 2004, TOMS.
[18] Yousef Saad,et al. A Parallel Multistage ILU Factorization Based on a Hierarchical Graph Decomposition , 2006, SIAM J. Sci. Comput..
[19] Mario Bebendorf,et al. On the purely algebraic data‐sparse approximation of the inverse and the triangular factors of sparse matrices , 2011, Numer. Linear Algebra Appl..
[20] Yousef Saad,et al. GPU-accelerated preconditioned iterative linear solvers , 2013, The Journal of Supercomputing.
[21] Yousef Saad,et al. Computing Partial Spectra with Least-Squares Rational Filters , 2016, SIAM J. Sci. Comput..
[22] Robert A. Walker,et al. Remark on “Algorithm 506: HQR3 and EXCHNG: Fortran Subroutines for Calculating and Ordering the Eigenvalues of a Real Upper Hessenberg Matrix” , 1982, TOMS.
[23] Mario Bebendorf,et al. Why Finite Element Discretizations Can Be Factored by Triangular Hierarchical Matrices , 2007, SIAM J. Numer. Anal..
[24] Vipin Kumar,et al. A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs , 1998, SIAM J. Sci. Comput..
[25] Barry Lee,et al. Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics , 2006, Math. Comput..
[26] Y. Saad,et al. Experimental study of ILU preconditioners for indefinite matrices , 1997 .
[27] Wolfgang Hackbusch,et al. A Sparse Matrix Arithmetic Based on H-Matrices. Part I: Introduction to H-Matrices , 1999, Computing.
[28] John N. Shadid,et al. Block Preconditioners Based on Approximate Commutators , 2005, SIAM J. Sci. Comput..
[29] Ilse C. F. Ipsen. A Note on Preconditioning Nonsymmetric Matrices , 2001, SIAM J. Sci. Comput..
[30] A. George. Nested Dissection of a Regular Finite Element Mesh , 1973 .
[31] Marcus J. Grote,et al. Parallel Preconditioning with Sparse Approximate Inverses , 1997, SIAM J. Sci. Comput..
[32] Jianlin Xia,et al. On the Stability of Some Hierarchical Rank Structured Matrix Algorithms , 2016, SIAM J. Matrix Anal. Appl..
[33] Michele Benzi,et al. Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems , 1999, SIAM J. Sci. Comput..
[34] Robert C. Kirby,et al. Block preconditioners for finite element discretization of incompressible flow with thermal convection , 2012, Numer. Linear Algebra Appl..
[35] Cornelis Vuik,et al. Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian , 2007, SIAM J. Sci. Comput..
[36] Jianlin Xia,et al. Superfast and Stable Structured Solvers for Toeplitz Least Squares via Randomized Sampling , 2014, SIAM J. Matrix Anal. Appl..
[37] Boris N. Khoromskij,et al. A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems , 2000, Computing.
[38] Yousef Saad,et al. Divide and Conquer Low-Rank Preconditioners for Symmetric Matrices , 2013, SIAM J. Sci. Comput..
[39] Michele Benzi,et al. A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems , 1998, SIAM J. Sci. Comput..
[40] Jun Zhang,et al. Hybrid reordering strategies for ILU preconditioning of indefinite sparse matrices , 2006 .
[41] Y. Saad,et al. Preconditioning Helmholtz linear systems , 2010 .
[42] Timothy A. Davis,et al. The university of Florida sparse matrix collection , 2011, TOMS.
[43] Cornelis Vuik,et al. A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems , 2005, SIAM J. Sci. Comput..
[44] W. Arnoldi. The principle of minimized iterations in the solution of the matrix eigenvalue problem , 1951 .
[45] Ruipeng Li,et al. Matrix Reordering Using Multilevel Graph Coarsening for ILU Preconditioning , 2013, SIAM J. Sci. Comput..
[46] Gene H. Golub,et al. Numerical solution of saddle point problems , 2005, Acta Numerica.
[47] Yousef Saad,et al. Beyond AMLS: Domain decomposition with rational filtering , 2017 .
[48] Robert Beauwens,et al. Preconditioning of discrete Helmholtz operators perturbed by a diagonal complex matrix , 2000 .
[49] M. Benzi. Preconditioning techniques for large linear systems: a survey , 2002 .
[50] John N. Shadid,et al. A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD , 2013, SIAM J. Sci. Comput..
[51] Edmond Chow,et al. SMASH: Structured matrix approximation by separation and hierarchy , 2017, Numer. Linear Algebra Appl..