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A class of first order factorization methods

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

inferredcites →https://doi.org/10.1007/bf01931691openalex-snapshot
A class of first order factorization methods
inferredcites →https://doi.org/10.1007/bf01932668openalex-snapshot
A note on a class of stronglyA-stable methods
inferredcites →https://doi.org/10.1007/bf01932955openalex-snapshot
A generalized SSOR method
inferredcites →https://doi.org/10.1016/0045-7825(76)90056-6openalex-snapshot
A class of iterative methods for finite element equations
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/10.1093/imamat/23.3.321openalex-snapshot
A Modified Upwind Scheme for Convective Transport Equations and the Use of a Conjugate Gradient Method for the Solution of Non-Symmetric Systems of Equations
inferredcites →https://doi.org/10.1137/0705044openalex-snapshot
Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations
inferredcites →https://doi.org/10.1137/0705045openalex-snapshot
An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations
inferredcites →https://doi.org/10.1137/0710032openalex-snapshot
Nested Dissection of a Regular Finite Element Mesh
inferredcites →https://doi.org/10.1137/0711071openalex-snapshot
Second Order Strongly Implicit Symmetric Factorization Methods for the Solution of Elliptic Difference Equations
inferredcites →https://doi.org/10.1137/0714011openalex-snapshot
Numerical Experiments Using Dissection Methods to Solve n by n Grid Problems
inferredcites →https://doi.org/10.1287/mnsc.3.3.255openalex-snapshot
The Elimination form of the Inverse and its Application to Linear Programming
inferredcites →https://doi.org/10.5170/cern-1974-010openalex-snapshot
On preconditioning and convergence acceleration in sparse matrix problems

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

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Upper eigenvalue bounds for pencils of matrices
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On Axelsson's perturbations
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A general incomplete block-matrix factorization method
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Approximate root-free factorization techniques for solving elliptic difference equations in three spaces variables
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Lower eigenvalue bounds for pencils of matrices
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Introduction
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A new preconditioning technique for solving large sparse linear systems
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A comparison of some GMRES-like methods
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A note on comparison theorems for splittings and multisplittings of Hermitian positive definite matrices
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An analysis of some element-by-element techniques
inferred← citeshttps://doi.org/10.1016/0045-7825(91)90090-sopenalex-snapshot
A global preconditioner for the element-by-element solution methods
inferred← citeshttps://doi.org/10.1016/0045-7825(91)90116-nopenalex-snapshot
Preconditioners for high degree elements
inferred← citeshttps://doi.org/10.1016/0045-7825(93)90190-9openalex-snapshot
Domain decomposition and parallel processing of a finite element model of the shallow water equations
inferred← citeshttps://doi.org/10.1016/0096-3003(83)90014-0openalex-snapshot
Multi-grid solution of three-dimensional problems with discontinuous coefficients
inferred← citeshttps://doi.org/10.1016/0096-3003(88)90134-8openalex-snapshot
Truncated incomplete factorizations for conjugate-gradient methods in two and three dimensions
inferred← citeshttps://doi.org/10.1016/0096-3003(89)90009-xopenalex-snapshot
Comparison of several iterative techniques in the solution of symmetric banded equations on a two-pipe cyber 205
inferred← citeshttps://doi.org/10.1016/0098-1354(94)00048-sopenalex-snapshot
Multiplicity analysis of the 2-D model of the catalytic porous wall reactor with axial flow
inferred← citeshttps://doi.org/10.1016/0098-1354(95)00074-7openalex-snapshot
Reliability of iterative linear equation solvers in chemical process simulation
inferred← citeshttps://doi.org/10.1016/0148-9062(96)81724-4openalex-snapshot
Mixed finite elements for accurate particle tracking in saturated groundwater flow
inferred← citeshttps://doi.org/10.1016/0167-8191(86)90006-2openalex-snapshot
The performance of FORTRAN implementations for preconditioned conjugate gradients on vector computers
inferred← citeshttps://doi.org/10.1016/0167-8191(87)90005-6openalex-snapshot
Large tridiagonal and block tridiagonal linear systems on vector and parallel computers
inferred← citeshttps://doi.org/10.1016/0167-8191(88)90084-1openalex-snapshot
Solving large elliptic difference equations on CYBER 205
inferred← citeshttps://doi.org/10.1016/0167-8191(94)90072-8openalex-snapshot
Finite element simulation of semiconductor devices on multiprocessor computers
inferred← citeshttps://doi.org/10.1016/0168-9274(85)90033-9openalex-snapshot
An efficient implementation for SSOR and incomplete factorization preconditionings
inferred← citeshttps://doi.org/10.1016/0168-9274(91)90096-iopenalex-snapshot
Conditioning analysis of sparse block approximate factorizations
inferred← citeshttps://doi.org/10.1016/0168-9274(91)90112-dopenalex-snapshot
On methods of incomplete LU decompositions for solving Poisson's equation in annular regions
inferred← citeshttps://doi.org/10.1016/0168-9274(95)00019-qopenalex-snapshot
Experience in implementing the Algebraic Multilevel Iteration method on a SIMD-type computer
inferred← citeshttps://doi.org/10.1016/0168-9274(95)00022-mopenalex-snapshot
Direct numerical simulation of turbulence on a Connection Machine CM-5
inferred← citeshttps://doi.org/10.1016/0168-9274(95)00077-8openalex-snapshot
Incomplete block LU preconditioners on slightly overlapping subdomains for a massively parallel computer
inferred← citeshttps://doi.org/10.1016/0306-4549(91)90004-hopenalex-snapshot
Conjugate gradient like methods and their application to eigenvalue problems for neutron diffusion equation
inferred← citeshttps://doi.org/10.1016/0309-1708(90)90005-oopenalex-snapshot
Iterative methods for the solution of large systems of equations on supercomputers
inferred← citeshttps://doi.org/10.1016/0309-1708(93)90035-eopenalex-snapshot
Application of Conjugate Gradient methods to tidal simulation
inferred← citeshttps://doi.org/10.1016/0377-0427(84)90030-xopenalex-snapshot
The use of second degree normalized implicit conjugate gradient methods for solving large sparse systems of linear equations
inferred← citeshttps://doi.org/10.1016/0377-0427(85)90004-4openalex-snapshot
Incomplete block matrix factorization preconditioning methods. The ultimate answer?
inferred← citeshttps://doi.org/10.1016/0377-0427(88)90344-5openalex-snapshot
Conjugate gradient type methods and preconditioning
inferred← citeshttps://doi.org/10.1016/0377-0427(89)90298-7openalex-snapshot
Conditioning analysis of positive definite matrices by approximate factorizations
inferred← citeshttps://doi.org/10.1016/0377-0427(89)90319-1openalex-snapshot
A quasi-direct fast Poisson solver for general regions
inferred← citeshttps://doi.org/10.1016/0377-0427(92)90011-lopenalex-snapshot
A second-order sparse factorization method for Poisson's equation with mixed boundary conditions
inferred← citeshttps://doi.org/10.1016/0377-0427(92)90203-aopenalex-snapshot
RILU preconditioning; a computational study
inferred← citeshttps://doi.org/10.1016/0377-0427(92)90208-fopenalex-snapshot
Lower eigenvalue bounds for singular pencils of matrices
inferred← citeshttps://doi.org/10.1016/0377-0427(94)00002-iopenalex-snapshot
Inexact Newton methods on a vector supercomputer
inferred← citeshttps://doi.org/10.1016/0377-0427(95)00077-1openalex-snapshot
Matrix compensation and diagonal compensation
inferred← citeshttps://doi.org/10.1016/0377-0427(95)00182-4openalex-snapshot
Nested grids ILU-decomposition (NGILU)
inferred← citeshttps://doi.org/10.1016/0377-0427(95)00204-9openalex-snapshot
The construction of an algebraically reduced system for the acceleration of preconditioned conjugate gradients
inferred← citeshttps://doi.org/10.1016/0377-0427(95)00227-8openalex-snapshot
Generalized conjugate gradient squared
inferred← citeshttps://doi.org/10.1016/0378-4754(87)90062-0openalex-snapshot
Explicit semi-direct methods based on approximate inverse matrix techniques for solving boundary-value problems on parallel processors
inferred← citeshttps://doi.org/10.1016/0771-050x(79)90011-1openalex-snapshot
Bibliography on the evaluation of numerical software
inferred← citeshttps://doi.org/10.1016/0893-9659(91)90173-sopenalex-snapshot
A note on a block preconditioner
inferred← citeshttps://doi.org/10.1016/0898-1221(81)90039-0openalex-snapshot
Normalized implicit methods for the solution of non-linear elliptic boundary value problems
inferred← citeshttps://doi.org/10.1016/0898-1221(95)00210-3openalex-snapshot
The preconditioned conjugate gradient method with incomplete factorization preconditioners
inferred← citeshttps://doi.org/10.1016/0899-8248(89)90029-3openalex-snapshot
Linear iterations as smoothers in multigrid methods: Theory with applications to incomplete decompositions
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