Block preconditioning of real-valued iterative algorithms for complex linear systems

Block preconditioning of real-valued iterative algorithms for complex linear systems (2008)

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by Michele Benzi , Daniele Bertaccini

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@MISC{Benzi08blockpreconditioning,
    author = {Michele Benzi and Daniele Bertaccini},
    title = {Block preconditioning of real-valued iterative algorithms for complex linear systems},
    year = {2008}
}

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Citations

3200	Topics in Matrix Analysis - Horn, Johnson - 1994
1061	GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems - Saad, Schultz - 1986
235	A flexible inner-outer preconditioned GMRES algorithm - Saad - 1993
230	Solution of sparse indefinite systems of linear equations - Paige, Saunders - 1975
221	Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for solution of non-symmetric linear systems - Vorst - 1992
102	Numerical solution of saddle point problems - Benzi, Golub, et al.
64	Conjugate gradient-type methods for linear systems with complex symmetric coefficient matrices - Freund - 1992
57	Optical tomography in medical imaging - Arridge - 1999
50	Finite elements in computational electromagnetism - Hiptmair
50	A note on preconditioning for indefinite linear systems - Murphy, Golub, et al. - 1972
31	Hermitian and skew-Hermitian splitting methods for nonHermitian positive definite linear systems - Bai, Golub, et al.
27	A preconditioner for generalized saddle point problems - BENZI, GOLUB - 2004
27	A 1949 Partial Differential Equations of - Sommerfeld
26	Recent computational developments in Krylov subspace methods for linear systems, Numerical Linear Algebra with - Simoncini, Szyld
25	On conjugate gradient type methods and polynomial preconditioners for a class of complex non-Hermitian matrices - Freund - 1990
18	Complex conjugate gradient methods - JOLY, MEURANT - 1993
18	A Petrov-Galerkin type method for solving Ax = b, where A is symmetric complex - Vorst, Melissen - 1990
17	Fast finite volume simulation of 3d electromagnetic problems with highly discontinuous coefficients - Haber, Ascher
16	On a class of preconditioners for solving the Helmholtz equation - Erlangga, Vuik, et al. - 2004
16	A note on preconditioning nonsymmetric matrices - IPSEN - 2001
12	BiCGStab(ℓ) for linear equations involving unsymmetric matrices with complex spectrum - SLEIJPEN, FOKKEMA - 1993
10	Iterative system solvers for the frequency analysis of linear mechanical systems - FERIANI, PEROTTI, et al. - 2000
8	On the preconditioning of matrices with skew-symmetric splittings - GOLUB, VANDERSTRAETEN - 2000
7	Real valued iterative methods for solving complex symmetric linear systems. Numerical Linear Algebra with Applications 7 - Axelsson, Kucherov - 2000
7	Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation - BERTACCINI, GOLUB, et al. - 2005
7	Solving complex-valued linear systems via equivalent real formulations - Day, Heroux - 2000
7	An iterative method for solving complex-symmetric systems arising in electrical power modeling - HOWLE, VAVASIS - 2005
6	Efficient preconditioning for sequences of parametric complex symmetric linear systems - BERTACCINI - 2004
6	A generalization of the conjugate-gradient method to solve complex systems - JACOBS - 1986
5	On a conjugate gradient-type method for solving complex symmetric linear systems - Bunse-Gerstner, Stöver - 1999
5	Conjugate gradient type methods for indefinite, asymmetric, and complex systems - Markham - 1990
4	Structured preconditioners for nonsingular matrices of block two-by-two structures - BAI - 2006
4	Efficient preconditioning scheme for block partitioned matrices with structured sparsity - POIRIER - 2000
3	Algebraic multigrid methods for direct frequency response analysis in solid mechanics - Adams - 2006
3	Complex solution to nonideal contaminant transport through porous media - GAMBOLATI, PINI - 1998
3	Multilevel preconditioning for 3D large-scale soft-field medical applications modelling - HORESH, SCHWEIGER, et al. - 2006
3	Algebraic multigrid for complex symmetric matrices and applications - REITZINGER, SCHREIBER, et al. - 2003
2	Incomplete factorization based preconditioning for solving the Helmholtz equation - MADE, M - 2001
2	Numerical performance of preconditioning techniques for the solution of complex sparse linear systems - MAZZIA, PINI - 2003
2	Numerical experiments with a shifted SSOR preconditioner. Iterative Methods in Scientific Computation V - MAZZIA, MCCOY - 1999
1	A multigrid algorithm method enhanced by Krylov subspace iterations for discrete Helmholtz equations - BENZI, ELMAN, et al. - 2001