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Preconditioning techniques for large linear systems: A survey
 J. COMPUT. PHYS
, 2002
"... This article surveys preconditioning techniques for the iterative solution of large linear systems, with a focus on algebraic methods suitable for general sparse matrices. Covered topics include progress in incomplete factorization methods, sparse approximate inverses, reorderings, parallelization i ..."
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Cited by 192 (5 self)
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This article surveys preconditioning techniques for the iterative solution of large linear systems, with a focus on algebraic methods suitable for general sparse matrices. Covered topics include progress in incomplete factorization methods, sparse approximate inverses, reorderings, parallelization
Mismatched Estimation in Large Linear Systems
"... Abstract—We study the excess mean square error (EMSE) above the minimum mean square error (MMSE) in large linear systems where the posterior mean estimator (PME) is evaluated with a postulated prior that differs from the true prior of the input signal. We focus on large linear systems where the meas ..."
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Cited by 1 (1 self)
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Abstract—We study the excess mean square error (EMSE) above the minimum mean square error (MMSE) in large linear systems where the posterior mean estimator (PME) is evaluated with a postulated prior that differs from the true prior of the input signal. We focus on large linear systems where
Stabilization of Large Linear Systems
, 1994
"... We discuss numerical methods for the stabilization of large linear multiinput control systems of the form _x = Ax + Bu via a feedback of the form u = F x. The method discussed in this paper is a stabilization algorithm that is based on a subspace splitting. This splitting is done via the matrix sig ..."
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Cited by 8 (3 self)
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We discuss numerical methods for the stabilization of large linear multiinput control systems of the form _x = Ax + Bu via a feedback of the form u = F x. The method discussed in this paper is a stabilization algorithm that is based on a subspace splitting. This splitting is done via the matrix
Validated Solution of Large Linear Systems
 Validation numerics: theory and applications, volume 9 of Computing Supplementum
, 1993
"... Abstract Some new methods will be presented for computing verified inclusions of the solution of large linear systems. The matrix of the linear system is typically of band or sparse structure. There are no prerequisites to the matrix such as being Mmatrix, symmetric, positive definite or diagonall ..."
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Cited by 9 (2 self)
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Abstract Some new methods will be presented for computing verified inclusions of the solution of large linear systems. The matrix of the linear system is typically of band or sparse structure. There are no prerequisites to the matrix such as being Mmatrix, symmetric, positive definite
Differential Evolution Applied to the Solution of Large Linear Systems
"... Many fields of engineering and other applied sciences demand the use of the solution of algebraic linear systems. Depending on the mathematical model used to represent the phenomenon, the linear systems will have high dimensions. Traditionally, large linear systems are resolved by using iterative me ..."
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Many fields of engineering and other applied sciences demand the use of the solution of algebraic linear systems. Depending on the mathematical model used to represent the phenomenon, the linear systems will have high dimensions. Traditionally, large linear systems are resolved by using iterative
Parallel algorithms for solving large linear systems
, 1992
"... Abstract The solution of linear systems continues to play an important role in scientific computing. The problems to be solved often are of very large size, so that solving them requires large computer resources. To solve these problems, at least supercomputers with large shared memory or massive p ..."
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Cited by 4 (3 self)
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Abstract The solution of linear systems continues to play an important role in scientific computing. The problems to be solved often are of very large size, so that solving them requires large computer resources. To solve these problems, at least supercomputers with large shared memory or massive
Krylov Subspace Methods for Large Linear Systems of Equations
, 1993
"... When solving PDE's by means of numerical methods one often has to deal with large systems of linear equations, specifically if the PDE is timeindependent or if the timeintegrator is implicit. For real life problems, these large systems can often only be solved by means of some iterative metho ..."
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Cited by 3 (0 self)
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When solving PDE's by means of numerical methods one often has to deal with large systems of linear equations, specifically if the PDE is timeindependent or if the timeintegrator is implicit. For real life problems, these large systems can often only be solved by means of some iterative
A Survey of Packages for Large Linear Systems
, 2000
"... This paper evaluates portable software packages for the iterative solution of very large sparse linear systems on parallel architectures. While we cannot hope to tell individual users which package will best suit their needs, we do hope that our systematic evaluation provides essential unbiased info ..."
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This paper evaluates portable software packages for the iterative solution of very large sparse linear systems on parallel architectures. While we cannot hope to tell individual users which package will best suit their needs, we do hope that our systematic evaluation provides essential unbiased
CarnegieMel Ion University NUMERICAL STABILITY OF ITERATIONS FOR SOLUTION ̂ OF NONLINEAR EQUATIONS AND LARGE LINEAR SYSTEMS
, 1975
"... Numerical stability of iterations for solution of nonlinear equations and large linear systems ..."
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Numerical stability of iterations for solution of nonlinear equations and large linear systems
Results 1  10
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244,637