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A bump triangular dynamic factorization algorithm for the simplex method

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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/nav.3800120102openalex-snapshot
A complete constructive algorithm for the general mixed linear programming problem
inferredcites →https://doi.org/10.1007/978-1-4615-8675-3openalex-snapshot
Sparse Matrices and their Applications
inferredcites →https://doi.org/10.1007/978-1-4615-8675-3_6openalex-snapshot
The Partitioned Preassigned Pivot Procedure (P4)
inferredcites →https://doi.org/10.1007/bf01580108openalex-snapshot
Pivot selection methods of the Devex LP code
inferredcites →https://doi.org/10.1007/bf01580655openalex-snapshot
The factorization approach to large-scale linear programming
inferredcites →https://doi.org/10.1007/bf01584086openalex-snapshot
Reinversion with the preassigned pivot procedure
inferredcites →https://doi.org/10.1007/bf01584341openalex-snapshot
Matrix augmentation and partitioning in the updating of the basis inverse
inferredcites →https://doi.org/10.1007/bf01584548openalex-snapshot
Updated triangular factors of the basis to maintain sparsity in the product form simplex method
inferredcites →https://doi.org/10.1007/bf01585094openalex-snapshot
A sparsity-exploiting variant of the Bartels—Golub decomposition for linear programming bases
inferredcites →https://doi.org/10.1016/0016-0032(64)90390-4openalex-snapshot
Rounding errors in algebraic processes
inferredcites →https://doi.org/10.1016/b978-0-12-141050-6.50017-9openalex-snapshot
A FAST, STABLE IMPLEMENTATION OF THE SIMPLEX METHOD USING BARTELS-GOLUB UPDATING††Research for this paper was supported by the Energy Research and Development Administration Contract AT(04-3)-326 PA #18, at Stanford University.
inferredcites →https://doi.org/10.1145/362946.362974openalex-snapshot
The simplex method of linear programming using LU decomposition
inferredcites →https://doi.org/10.1287/mnsc.24.10.1031openalex-snapshot
A Spike Collective Dynamic Factorization Algorithm for the Simplex Method
inferredcites →https://doi.org/10.1515/9781400884179openalex-snapshot
Linear Programming and Extensions
inferredcites →https://doi.org/10.2307/2002959openalex-snapshot
Rounding Errors in Algebraic Processes
inferredcites →https://doi.org/10.7249/r366openalex-snapshot
Linear Programming and Extensions

What points at this work

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

inferred← citeshttps://doi.org/10.1007/bf01582564openalex-snapshot
Dynamic factorization in large-scale optimization
inferred← citeshttps://doi.org/10.1007/bf01585094openalex-snapshot
A sparsity-exploiting variant of the Bartels—Golub decomposition for linear programming bases
inferred← citeshttps://doi.org/10.1007/bf02022083openalex-snapshot
Advanced basis construction in linear programming
inferred← citeshttps://doi.org/10.1007/bf02591889openalex-snapshot
Large-scale linear programming: Geometry, working bases and factorizations
inferred← citeshttps://doi.org/10.1016/s0895-7177(98)00074-0openalex-snapshot
A warm-start dual simplex solution algorithm for the minimum flow networks with postoptimality analyses
inferred← citeshttps://doi.org/10.1080/02331939508844049openalex-snapshot
A comprehensive simplex-like algorithm for network optimization and perturbation analysis
inferred← citeshttps://doi.org/10.1137/0605007openalex-snapshot
A Hierarchical Representation of the Inverse for Sparse Matrices
inferred← citeshttps://doi.org/10.1137/0606056openalex-snapshot
Implementation of a Double-Basis Simplex Method for the General Linear Programming Problem
inferred← citeshttps://doi.org/10.1155/s1173912698000042openalex-snapshot
Managing cost uncertainties in transportation and assignment problems
inferred← citeshttps://doi.org/10.1287/ijoc.1040.0086openalex-snapshot
Implementing an LU Factorization for the Embedded Network Simplex Algorithm
inferred← citeshttps://doi.org/10.1287/inte.28.2.32openalex-snapshot
Advances in Solving the Multicommodity-Flow Problem
inferred← citeshttps://doi.org/10.21236/ada214568openalex-snapshot
Dynamic Factorization in Large-Scale Optimization
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