Implicitly Restarted GMRES and Arnoldi Methods for Nonsymmetric Systems of Equations
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[1] T. Manteuffel,et al. A taxonomy for conjugate gradient methods , 1990 .
[2] G. Golub,et al. Gmres: a Generalized Minimum Residual Algorithm for Solving , 2022 .
[3] Ronald B. Morgan,et al. A Restarted GMRES Method Augmented with Eigenvectors , 1995, SIAM J. Matrix Anal. Appl..
[4] Y. Saad,et al. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .
[5] D. Sorensen. Numerical methods for large eigenvalue problems , 2002, Acta Numerica.
[6] Danny C. Sorensen,et al. Deflation Techniques for an Implicitly Restarted Arnoldi Iteration , 1996, SIAM J. Matrix Anal. Appl..
[7] Yousef Saad,et al. A Flexible Inner-Outer Preconditioned GMRES Algorithm , 1993, SIAM J. Sci. Comput..
[8] Roland W. Freund,et al. An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices , 1993, SIAM J. Sci. Comput..
[9] P. Sonneveld. CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems , 1989 .
[10] H. V. D. Vorst,et al. The superlinear convergence behaviour of GMRES , 1993 .
[11] Dennis C. Smolarski,et al. Implementation of an adaptive algorithm for Richardson's method , 1991 .
[12] M. Hestenes,et al. Methods of conjugate gradients for solving linear systems , 1952 .
[13] Danny C. Sorensen,et al. Implicit Application of Polynomial Filters in a k-Step Arnoldi Method , 1992, SIAM J. Matrix Anal. Appl..
[14] R. Freund,et al. QMR: a quasi-minimal residual method for non-Hermitian linear systems , 1991 .
[15] S. A. Kharchenko,et al. Eigenvalue translation based preconditioners for the GMRES(k) method , 1995, Numer. Linear Algebra Appl..
[16] Lloyd N. Trefethen,et al. GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems , 2018, SIAM J. Sci. Comput..
[17] Gerard L. G. Sleijpen,et al. A Jacobi-Davidson Iteration Method for Linear Eigenvalue Problems , 1996, SIAM Rev..
[18] H. A. V. D. Vorsty. University Utrecht a Generalized Jacobi-davidson Iteration Method for Linear Eigenvalue Problems a Generalized Jacobi-davidson Iteration Method for Linear Eigenvalue Problems , 1994 .
[19] W. Arnoldi. The principle of minimized iterations in the solution of the matrix eigenvalue problem , 1951 .
[20] B. Parlett. The Symmetric Eigenvalue Problem , 1981 .
[21] Anne Greenbaum,et al. Any Nonincreasing Convergence Curve is Possible for GMRES , 1996, SIAM J. Matrix Anal. Appl..
[22] R. Nicolaides. Deflation of conjugate gradients with applications to boundary value problems , 1987 .
[23] Gene H. Golub,et al. Matrix computations , 1983 .
[24] K. Burrage,et al. Restarted GMRES preconditioned by deflation , 1996 .
[25] C. Lanczos. Solution of Systems of Linear Equations by Minimized Iterations1 , 1952 .
[26] R. Morgan. Computing Interior Eigenvalues of Large Matrices , 1991 .
[27] E. Sturler,et al. Truncation Strategies for Optimal Krylov Subspace Methods , 1999 .
[28] Yousef Saad,et al. Deflated and Augmented Krylov Subspace Techniques , 1997, Numer. Linear Algebra Appl..
[29] Y. Saad. Analysis of Augmented Krylov Subspace Methods , 1997, SIAM J. Matrix Anal. Appl..
[30] Gene H. Golub,et al. Some History of the Conjugate Gradient and Lanczos Algorithms: 1948-1976 , 1989, SIAM Rev..
[31] Thomas A. Manteuffel,et al. On hybrid iterative methods for nonsymmetric systems of linear equations , 1996 .
[32] Ronald B. Morgan,et al. On restarting the Arnoldi method for large nonsymmetric eigenvalue problems , 1996, Math. Comput..
[33] Henk A. van der Vorst,et al. Approximate solutions and eigenvalue bounds from Krylov subspaces , 1995, Numer. Linear Algebra Appl..
[34] Gerard L. G. Sleijpen,et al. A Jacobi-Davidson Iteration Method for Linear Eigenvalue Problems , 1996, SIAM J. Matrix Anal. Appl..
[35] L. Knizhnerman,et al. Two polynomial methods of calculating functions of symmetric matrices , 1991 .
[36] R. Lehoucq. Analysis and implementation of an implicitly restarted Arnoldi iteration , 1996 .
[37] Roland W. Freund,et al. A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems , 1993, SIAM J. Sci. Comput..
[38] Kesheng Wu,et al. Dynamic Thick Restarting of the Davidson, and the Implicitly Restarted Arnoldi Methods , 1998, SIAM J. Sci. Comput..
[39] C. Lanczos. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators , 1950 .
[40] M. Saunders,et al. Solution of Sparse Indefinite Systems of Linear Equations , 1975 .
[41] Y. Saad. Krylov subspace methods for solving large unsymmetric linear systems , 1981 .
[42] G. Golub,et al. Iterative solution of linear systems , 1991, Acta Numerica.
[43] Wayne Joubert,et al. A Robust GMRES-Based Adaptive Polynomial Preconditioning Algorithm for Nonsymmetric Linear Systems , 1994, SIAM J. Sci. Comput..
[44] Y. Saad. Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices , 1980 .
[45] J. H. Wilkinson. The algebraic eigenvalue problem , 1966 .
[46] R. Freund. Quasi-kernel polynomials and their use in non-Hermitian matrix iterations , 1992 .
[47] Cornelis Vuik,et al. GMRESR: a family of nested GMRES methods , 1994, Numer. Linear Algebra Appl..
[48] E. Desturler,et al. Nested Krylov methods and preserving the orthogonality , 1993 .
[49] Min Zeng,et al. Harmonic projection methods for large non-symmetric eigenvalue problems , 1998, Numer. Linear Algebra Appl..
[50] Iain S. Duff,et al. Sparse matrix test problems , 1982 .
[51] Zhishun A. Liu,et al. A Look Ahead Lanczos Algorithm for Unsymmetric Matrices , 1985 .
[52] Lloyd N. Trefethen,et al. A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems , 1992, SIAM J. Matrix Anal. Appl..
[53] Thomas A. Manteuffel,et al. On the roots of the orthogonal polynomials and residual polynomials associated with a conjugate gradient method , 1994, Numer. Linear Algebra Appl..
[54] Gene H. Golub,et al. Adaptively Preconditioned GMRES Algorithms , 1998, SIAM J. Sci. Comput..