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Condition, equilibration and pivoting in linear algebraic systems
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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/bf02162559openalex-snapshot
Solution of real and complex systems of linear equations
inferredcites →https://doi.org/10.1007/bf02163333openalex-snapshot
Stability of solutions of linear algebraic systems
inferredcites →https://doi.org/10.1007/bf02165096openalex-snapshot
Condition numbers and equilibration of matrices
inferredcites →https://doi.org/10.1016/0016-0032(64)90390-4openalex-snapshot
Rounding errors in algebraic processes
inferredcites →https://doi.org/10.1016/0041-5553(66)90153-4openalex-snapshot
The algebraic eigenvalue problem
inferredcites →https://doi.org/10.1145/321075.321076openalex-snapshot
Error Analysis of Direct Methods of Matrix Inversion
inferredcites →https://doi.org/10.2307/2004501openalex-snapshot
Computer Solution of Linear Algebraic Systems
inferredcites →https://doi.org/10.2307/2004683openalex-snapshot
Mathematical Methods for Digital Computers
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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On equilibration and sparse factorization of matrices arising in finite element solutions of partial differential equations
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Symbolic‐Numerical Method for the Stability Investigation of Difference Schemes on a Computer
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Computational methods of linear algebra
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A note on partial pivoting and Gaussian elimination
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Error estimates for Miller's algorithm
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The efficient solution of large-scale linear programming problems—some algorithmic techniques and computational results
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Equilibration of matrices to optimize backward numerical stability
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A note on the instability of Gaussian elimination
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Stability of solutions of linear algebraic systems
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Über Pivot-Strategien bei der Lösung linearer Gleichungssysteme
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On scaling linear programming problems
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Scaling linear optimization problems prior to application of the simplex method
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Application of an incremental method to the solution of general plane strain boundary value problems in finite elasticity—I
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Application of an incremental method to the solution of general plane strain boundary value problems in finite elasticity—II
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Gaussian elimination: when is scaling beneficial?
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An upper bound on the growth ratio of Gaussian elimination
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Bregman's balancing method
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Jacobian-based model diagnostics and application to equation oriented modeling of a carbon capture system
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Chapter 6 A survey of matrix computations
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Relative perturbation results for matrix eigenvalues and singular values
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Efficient preconditioning of linear systems arising from the discretization of hyperbolic conservation laws
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On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/†
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A survey of sparse matrix research
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Effect of Equilibration on Residual Size for Partial Pivoting
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Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints II: Practical Implications
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Minimizing the Euclidean Condition Number
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On the Sensitivity of Solution Components in Linear Systems of Equations
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More Accurate Bidiagonal Reduction for Computing the Singular Value Decomposition
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Equilibration of Symmetric Matrices in the Max-Norm
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Some New Bounds on the Condition Numbers of Optimally Scaled Matrices
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Scaling for Numerical Stability in Gaussian Elimination
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A System of Subroutines for Iteratively Reweighted Least Squares Computations
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Scaling, reordering, and diagonal pivoting in ILU preconditionings
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Discretization and computational errors in high-order finite elements
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Calculation of a slender body moving through air at supersonic and subsonic velocities
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Condition of finite element matrices generated from nonuniform meshes.
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Detecting and Assessing the Problems Caused by Multi-Collinearity: A Useof the Singular-Value Decomposition
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A System of Subroutines For Iteratively Reweighted Least Squares Computations
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A platform for numerical computations with special application to preconditioning
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