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On some ways of approximating inverses of banded matrices in connection with deriving preconditioners based on incomplete block factorizations

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01934919openalex-snapshot
The block preconditioned conjugate gradient method on vector computers
inferredcites →https://doi.org/10.1016/0024-3795(86)90121-7openalex-snapshot
A general incomplete block-matrix factorization method
inferredcites →https://doi.org/10.1016/0024-3795(86)90159-xopenalex-snapshot
On approximate factorization methods for block matrices suitable for vector and parallel processors
inferredcites →https://doi.org/10.1016/0024-3795(88)90211-xopenalex-snapshot
Decay rates of inverses of banded M-matrices that are near to Toeplitz matrices
inferredcites →https://doi.org/10.1016/0167-8191(89)90080-xopenalex-snapshot
Positive definiteness aspects of vectorizable preconditioners
inferredcites →https://doi.org/10.1090/s0025-5718-1977-0438681-4openalex-snapshot
An iterative solution method for linear systems of which the coefficient matrix is a symmetric 𝑀-matrix
inferredcites →https://doi.org/10.1090/s0025-5718-1984-0758197-9openalex-snapshot
Decay Rates for Inverses of Band Matrices
inferredcites →https://doi.org/10.1137/0717074openalex-snapshot
Dichotomies for Band Matrices
inferredcites →https://doi.org/10.1137/0906018openalex-snapshot
Block Preconditioning for the Conjugate Gradient Method

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/nla.70044openalex-snapshot
Quasiseparable LU Decay Bounds for Inverses of Banded Matrices
inferred← citeshttps://doi.org/10.1002/nme.1620270312openalex-snapshot
Algorithms for construction of preconditioners based on incomplete block‐factorizations of the matrix
inferred← citeshttps://doi.org/10.1007/978-3-319-49887-4_4openalex-snapshot
Localization in Matrix Computations: Theory and Applications
inferred← citeshttps://doi.org/10.1007/978-3-322-86200-6_18openalex-snapshot
Multilevel Preconditioning Matrices and Multigrid V-Cycle Methods
inferred← citeshttps://doi.org/10.1016/j.cma.2003.12.051openalex-snapshot
A nested iterative scheme for indefinite linear systems in particulate flows
inferred← citeshttps://doi.org/10.1080/00207169208804111openalex-snapshot
Vectorizable preconditioners for mixed finite element solution of second-order elliptic problems
inferred← citeshttps://doi.org/10.1080/00207169208804113openalex-snapshot
Incomplete block-factorization preconditioners for solving three-dimensional elliptic difference equations on systolic processors∗∗∗
inferred← citeshttps://doi.org/10.1080/10556788.2012.762517openalex-snapshot
New updates of incomplete LU factorizations and applications to large nonlinear systems
inferred← citeshttps://doi.org/10.1090/s0025-5718-1995-1257575-9openalex-snapshot
A Framework for Block ILU Factorizations Using Block-Size Reduction
inferred← citeshttps://doi.org/10.1109/78.824682openalex-snapshot
The marginal likelihood for parameters in a discrete Gauss-Markov process
inferred← citeshttps://doi.org/10.1137/040607964openalex-snapshot
Multilevel Hierarchical Matrices
inferred← citeshttps://doi.org/10.1137/0915005openalex-snapshot
Preconditioning Capacitance Matrix Problems in Domain Imbedding
inferred← citeshttps://doi.org/10.1137/s0036144594266284openalex-snapshot
Taking Advantage of the Potentialities of Dynamically Modified Block Incomplete Factorizations
inferred← citeshttps://doi.org/10.1137/s0895479897317259openalex-snapshot
Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices
inferred← citeshttps://doi.org/10.1137/s1064827597321052openalex-snapshot
Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-Diffusion Problems
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