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Computations with Sparse Matrices

https://doi.org/10.1137/1012103
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What this work says

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

inferredcites →https://doi.org/10.1002/sapm1959381104openalex-snapshot
A Graph Theoretic Method for the Complete Reduction of a Matrix with a View Toward Finding its Eigenvalues
inferredcites →https://doi.org/10.1007/bf01385880openalex-snapshot
Optimally scaled matrices
inferredcites →https://doi.org/10.1007/bf01386304openalex-snapshot
A graph theoretic approach to matrix inversion by partitioning
inferredcites →https://doi.org/10.1007/bf01934122openalex-snapshot
Solving linear least squares problems by Gram-Schmidt orthogonalization
inferredcites →https://doi.org/10.1007/bf01939264openalex-snapshot
Solution of a system of simultaneous linear equations with a sparse coefficient matrix by elimination methods
inferredcites →https://doi.org/10.1007/bf01939979openalex-snapshot
Solution of linear equations with coefficient matrix in band form
inferredcites →https://doi.org/10.1007/bf02162505openalex-snapshot
Tridiagonalization of a symetric band matrix
inferredcites →https://doi.org/10.1007/bf02163181openalex-snapshot
Random matrices and graphs
inferredcites →https://doi.org/10.1016/0016-0032(56)90143-0openalex-snapshot
Introduction to numerical analysis
inferredcites →https://doi.org/10.1016/0041-5553(66)90153-4openalex-snapshot
The algebraic eigenvalue problem
inferredcites →https://doi.org/10.1057/jors.1964.14openalex-snapshot
Recent Advances in Mathematical Programming
inferredcites →https://doi.org/10.1080/00207166808803022openalex-snapshot
A sparse matrix scheme for the computer analysis of structures
inferredcites →https://doi.org/10.1090/qam/104337openalex-snapshot
An application of algebraic topology: Kron’s method of tearing
inferredcites →https://doi.org/10.1090/qam/233497openalex-snapshot
Optimal elimination for sparse symmetric systems as a graph problem.
inferredcites →https://doi.org/10.1090/s0025-5718-1962-0156452-2openalex-snapshot
On the Inversion of Sparse Matrices
inferredcites →https://doi.org/10.1090/s0025-5718-1965-0196924-0openalex-snapshot
A Graph Technique for Inverting Certain Matrices
inferredcites →https://doi.org/10.1090/s0025-5718-1966-0192673-4openalex-snapshot
Experiments on Gram-Schmidt Orthogonalization
inferredcites →https://doi.org/10.1090/s0025-5718-1970-0275643-8openalex-snapshot
Some Results on Sparse Matrices
inferredcites →https://doi.org/10.1093/comjnl/10.2.190openalex-snapshot
The Inversion of Sparse Matrices by a Strategy Derived from their Graphs
inferredcites →https://doi.org/10.1093/comjnl/10.3.300openalex-snapshot
Row-column permutation of sparse matrices
inferredcites →https://doi.org/10.1093/comjnl/12.2.158openalex-snapshot
The Crout reduction for sparse matrices
inferredcites →https://doi.org/10.1093/comjnl/12.3.232openalex-snapshot
Advanced Linear-Programming Computing Techniques
inferredcites →https://doi.org/10.1093/comjnl/3.1.34openalex-snapshot
The Analysis of Large Structural Systems
inferredcites →https://doi.org/10.1093/comjnl/8.3.264openalex-snapshot
An algorithm for reducing the bandwidth of a matrix of symmetrical configuration
inferredcites →https://doi.org/10.1093/comjnl/9.1.84openalex-snapshot
The Partitioning of Network Equations for Block Iteration
inferredcites →https://doi.org/10.1093/comjnl/9.3.281openalex-snapshot
A Compact Storage Scheme for the Solution of Symmetric Linear Simultaneous Equations
inferredcites →https://doi.org/10.1109/proc.1967.6011openalex-snapshot
Direct solutions of sparse network equations by optimally ordered triangular factorization
inferredcites →https://doi.org/10.1109/tpas.1963.291477openalex-snapshot
Techniques for Exploiting the Sparsity or the Network Admittance Matrix
inferredcites →https://doi.org/10.1137/0702028openalex-snapshot
Partitioning and Tearing Systems of Equations
inferredcites →https://doi.org/10.1137/1002058openalex-snapshot
Applications of Graphs and Boolean Matrices to Computer Programming
inferredcites →https://doi.org/10.1137/1003021openalex-snapshot
The Use of Linear Graphs in Gauss Elimination
inferredcites →https://doi.org/10.1137/1004032openalex-snapshot
An Algorithm for Scaling Matrices
inferredcites →https://doi.org/10.1137/1004088openalex-snapshot
On an Approach to Techniques for the Analysis of the Structure of Large Systems of Equations
inferredcites →https://doi.org/10.1137/1008066openalex-snapshot
On the Product Form of Inverses of Sparse Matrices
inferredcites →https://doi.org/10.1137/1009003openalex-snapshot
Graphs and Matrices
inferredcites →https://doi.org/10.1137/1009004openalex-snapshot
The Product Form of Inverses of Sparse Matrices and Graph Theory
inferredcites →https://doi.org/10.1145/320964.320973openalex-snapshot
A New Method of Checking the Consistency of Precedence Matrices
inferredcites →https://doi.org/10.1145/321033.321038openalex-snapshot
On the Consistency of Precedence Matrices
inferredcites →https://doi.org/10.1145/368273.368283openalex-snapshot
A modified inversion procedure for product form of the inverse linear programming codes
inferredcites →https://doi.org/10.1145/800195.805928openalex-snapshot
Reducing the bandwidth of sparse symmetric matrices
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/10.21136/am.1966.102996openalex-snapshot
Graph-theoretic transformation of matrices to quasi-triangular form
inferredcites →https://doi.org/10.2140/pjm.1965.15.835openalex-snapshot
Incidence matrices and interval graphs
inferredcites →https://doi.org/10.2307/2001993openalex-snapshot
The Product Form for the Inverse in the Simplex Method
inferredcites →https://doi.org/10.2307/2003490openalex-snapshot
Finite Graphs and Networks, An Introduction with Applications
inferredcites →https://doi.org/10.2307/2003862openalex-snapshot
Matrix Iterative Analysis
inferredcites →https://doi.org/10.2307/2004501openalex-snapshot
Computer Solution of Linear Algebraic Systems
inferredcites →https://doi.org/10.2307/2786017openalex-snapshot
A Description of Strengthening and Weakening Members of a Group
inferredcites →https://doi.org/10.2514/3.4575openalex-snapshot
An automatic node-relabeling scheme for bandwidth minimization of stiffness matrices.

What points at this work

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

inferred← citeshttps://doi.org/10.1002/9781119903895.ch4openalex-snapshot
Large‐Scale Algebraic Equations
inferred← citeshttps://doi.org/10.1002/nme.1620070210openalex-snapshot
Computing with sparse matrices
inferred← citeshttps://doi.org/10.1007/978-1-4684-1423-3_16openalex-snapshot
Matrices and Linear Algebra
inferred← citeshttps://doi.org/10.1007/978-3-031-25820-6_1openalex-snapshot
An Introduction to Sparse Matrices
inferred← citeshttps://doi.org/10.1007/bf01086544openalex-snapshot
Computational methods of linear algebra
inferred← citeshttps://doi.org/10.1007/bf01846072openalex-snapshot
On solving problems with sparse matrices
inferred← citeshttps://doi.org/10.1007/bf02236371openalex-snapshot
On the gaussian elimination method for inverting sparse matrices
inferred← citeshttps://doi.org/10.1007/bf02236376openalex-snapshot
On the fill-in when sparse vectors are orthonormalized
inferred← citeshttps://doi.org/10.1007/bf02246733openalex-snapshot
On the optimal choice of pivots for the Gaussian elimination
inferred← citeshttps://doi.org/10.1016/0021-9991(73)90149-6openalex-snapshot
The iterative calculation of several of the lowest or highest eigenvalues and corresponding eigenvectors of very large symmetric matrices
inferred← citeshttps://doi.org/10.1016/0022-2852(73)90026-xopenalex-snapshot
A critique of the term value approach to determining molecular constants from the spectra of diatomic molecules
inferred← citeshttps://doi.org/10.1016/0098-1354(84)80004-6openalex-snapshot
Analysis of global approaches to the simulation of counter-current separators
inferred← citeshttps://doi.org/10.1016/s0076-5392(08)60535-4openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s0168-2024(99)80012-5openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s1570-8659(00)07002-2openalex-snapshot
Gaussian elimination for the solution of linear systems of equations
inferred← citeshttps://doi.org/10.1017/s0962492916000076openalex-snapshot
A survey of direct methods for sparse linear systems
inferred← citeshttps://doi.org/10.1109/proc.1975.9880openalex-snapshot
The theory and applications of the inners
inferred← citeshttps://doi.org/10.1109/proc.1977.10514openalex-snapshot
A survey of sparse matrix research
inferred← citeshttps://doi.org/10.1109/tcs.1974.1083911openalex-snapshot
The bordered triangular matrix and minimum essential sets of a digraph
inferred← citeshttps://doi.org/10.1115/1.4055241openalex-snapshot
Combining Uneliminated Algebraic Formulations With Sparse Linear Solvers to Increase the Speed and Accuracy of Homotopy Path Tracking for Kinematic Synthesis
inferred← citeshttps://doi.org/10.1137/0124012openalex-snapshot
Sparsity-Oriented Ordering of Pivotal Operations on Network Equations
inferred← citeshttps://doi.org/10.1137/0125018openalex-snapshot
Some Experiments on Sparse Sets of Linear Equations
inferred← citeshttps://doi.org/10.1145/1499799.1499935openalex-snapshot
Another algorithm for reducing bandwidth and profile of a sparse matrix
inferred← citeshttps://doi.org/10.1145/356616.356618openalex-snapshot
A Survey of Indexing Techniques for Sparse Matrices
inferred← citeshttps://doi.org/10.2172/5206570openalex-snapshot
Finite sparse matrix techniques. [Solution of linear systems Ax = b]
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