Incomplete inverse matrices

[1]  C. K. Filelis-Papadopoulos,et al.  A Class of Symmetric Factored Approximate Inverses and Hybrid Two-Level Solver , 2017, International Journal of Computational Methods.

[2]  C.-C. Jay Kuo,et al.  Two-Color Fourier Analysis of Iterative Algorithms for Elliptic Problems with Red/Black Ordering , 1990, SIAM J. Sci. Comput..

[3]  Michele Benzi,et al.  A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method , 1996, SIAM J. Sci. Comput..

[4]  Yousef Saad,et al.  ARMS: an algebraic recursive multilevel solver for general sparse linear systems , 2002, Numer. Linear Algebra Appl..

[5]  Fred Wubs,et al.  Nested grids ILU-decomposition (NGILU) , 1996 .

[6]  Edmond Chow,et al.  A Priori Sparsity Patterns for Parallel Sparse Approximate Inverse Preconditioners , 1999, SIAM J. Sci. Comput..

[7]  Marcus J. Grote,et al.  Parallel Preconditioning with Sparse Approximate Inverses , 1997, SIAM J. Sci. Comput..

[8]  Jun Zhang,et al.  BILUTM: A Domain-Based Multilevel Block ILUT Preconditioner for General Sparse Matrices , 1999, SIAM J. Matrix Anal. Appl..

[9]  L. Kolotilina,et al.  Factorized Sparse Approximate Inverse Preconditionings I. Theory , 1993, SIAM J. Matrix Anal. Appl..

[10]  R. Beauwens.  On Axelsson's perturbations , 1985 .

[11]  Michele Benzi,et al.  Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method , 2000, SIAM J. Sci. Comput..

[12]  Y. Saad,et al.  Iterative solution of linear systems in the 20th century , 2000 .

[13]  Pierluigi Maponi,et al.  The solution of linear systems by using the Sherman–Morrison formula , 2007 .

[14]  Yousef Saad,et al.  Iterative methods for sparse linear systems , 2003 .

[15]  Miroslav Tuma,et al.  An adaptive multilevel factorized sparse approximate inverse preconditioning , 2017, Adv. Eng. Softw..

[16]  Yousef Saad,et al.  ILUT: A dual threshold incomplete LU factorization , 1994, Numer. Linear Algebra Appl..

[17]  Fayssal Benkhaldoun,et al.  A block version of left-looking AINV preconditioner with one by one or two by two block pivots , 2019, Appl. Math. Comput..

[18]  George A. Gravvanis,et al.  An explicit sparse unsymmetric finite element solver , 1996 .

[19]  I. Gustafsson.  A class of first order factorization methods , 1978 .

[20]  Timothy A. Davis,et al.  The university of Florida sparse matrix collection , 2011, TOMS.

[21]  C. K. Filelis-Papadopoulos,et al.  GENERIC APPROXIMATE SPARSE INVERSE MATRIX TECHNIQUES , 2014 .

[22]  Edmond Chow,et al.  Fine-Grained Parallel Incomplete LU Factorization , 2015, SIAM J. Sci. Comput..

[23]  Yousef Saad,et al.  GPU-accelerated preconditioned iterative linear solvers , 2013, The Journal of Supercomputing.

[24]  E. F. F. Botta,et al.  Matrix Renumbering ILU: An Effective Algebraic Multilevel ILU Preconditioner for Sparse Matrices , 1999, SIAM J. Matrix Anal. Appl..

[25]  D. J. Evans,et al.  Explicit semi-direct methods based on approximate inverse matrix techniques for solving boundary-value problems on parallel processors , 1987 .

[26]  C. K. Filelis-Papadopoulos,et al.  A class of generic factored and multi-level recursive approximate inverse techniques for solving general sparse systems , 2016 .

[27]  Volker Mehrmann,et al.  Algebraic Multilevel Methods and Sparse Approximate Inverses , 2002, SIAM J. Matrix Anal. Appl..

[28]  Andrea Franceschini,et al.  A Robust Multilevel Approximate Inverse Preconditioner for Symmetric Positive Definite Matrices , 2018, SIAM J. Matrix Anal. Appl..

[29]  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..

[30]  R. P. Kendall,et al.  An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations , 1968 .

[31]  Edmond Chow,et al.  Parallel Implementation and Practical Use of Sparse Approximate Inverse Preconditioners with a Priori Sparsity Patterns , 2001, Int. J. High Perform. Comput. Appl..

[32]  Tony F. Chan.  Fourier Analysis of Relaxed Incomplete Factorization Preconditioners , 1991, SIAM J. Sci. Comput..