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  An introduction to linear programming (1953) [2 citations — 0 self]

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by D. Cooper, Richard A. Tapia, Aurelio Ribeiro, Aurelio Ribeiro, Leite Oliveira, Leite Oliveira
http://www.caam.rice.edu/~aurelio/thesis.ps.gz
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Citations

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459 Direct Methods for Sparse Matrices – Duff, Erisman, et al. - 1986
313 Numerical Methods for Large Eigenvalue Problems – Saad - 1992
291 Primal-dual interior-point methods – Wright - 1997
203 On the implementation of a primal-dual interior point method – Mehrotra - 1992
180 Implicit application of polynomial filters in a k-step arnoldi method – Sorensen - 1992
176 Solution of sparse indefinite systems of linear equations – Paige, Saunders - 1975
147 A new polynomial time algorithm for linear programming – Karmarkar - 1984
145 Solution of systems of linear equations by minimized iterations – Lanczos - 1952
124 QAPLIB - A Quadratic Assignment Problem Library – Burkard, Karisch, et al. - 1991
122 Electronic Mail Distribution of Linear Programming Test Problems – Gay - 1985
117 Path-following methods for linear programming – Gonzaga - 1992
117 Interior point methods for linear programming: Computational state of the art – Lustig, Marsten, et al. - 1994
90 Iterative solution of problems of linear and quadratic programming – Dikin - 1967
82 Inexact and preconditioned Uzawa algorithms for saddle point problems – Elman, Golub - 1994
74 Computational experience with a primal-dual interior point method for linear programming – Lustig, Marsten, et al. - 1991
61 On implementing Mehrotra's predictor-corrector interior point method for linear programming – Lustig, Marsten, et al. - 1992
57 Direct methods for solving symmetric indefinite systems of linear equations – Bunch, Parlett - 1971
56 A preconditioned iterative method for saddlepoint problems – RUSTEN, WINTHER - 1992
50 An implementation of Karmarkar's algorithm for linear programming – Adler, Karmarkar, et al. - 1989
45 On algorithms for obtaining a maximum transversal – Duff - 1981
43 Symmetric indefinite systems for interior point methods – Vanderbei, Carpenter - 1993
40 A Jacobi-Davidson Iteration Method for Linear Eigenvalue Problems – Sleijpen, Vorst - 1996
39 A Study of Indicators for Identifying Zero Variables in Interior-Point Methods – El-Bakry, Tapia, et al. - 1994
37 An implementation of Gaussian elimination with partial pivoting for sparse systems – Chu, George - 1985
35 Quadratically constrained least squares and quadratic problems – Golub, Matt - 1991
35 An implementation of a primal-dual interior point method for linear programming – McShane, Monma, et al. - 1989
30 A primal-dual interior point method for linear programming – Kojima, Mizuno, et al. - 1989
28 Stable numerical algorithms for equilibrium systems – Vavasis - 1994
27 Analysis of mathematical programming problems prior to applying the simplex algorithm – Brearley, Mitra, et al. - 1975
26 On the superlinear and quadratic convergence of primal-dual interior point linear programming algorithms – Zhang, Tapia, et al. - 1992
25 A QMR-based interior-point algorithm for solving linear programs – Freund, Jarre - 1996
24 A new Krylov-subspace method for symmetric indefinite linear systems – Freund, Nachtigal - 1994
24 Introduction to Applied Mathematics. Wellesley-Cambridge – Strang - 1986
20 Data structures and programming techniques for the implementation of Karmarkar's algorithm – Adler, Karmarkar, et al. - 1989
19 An empirical evaluation of the KORBX algorithms for military airlift applications – Carolan, Hill, et al. - 1990
18 Minimization of a large scale quadratic function subject to an ellipsoidal constraint – Sorensen - 1994
18 Fast iterative solution of stabilized Stokes systems. Part I: Using simple diagonal preconditioners – Wathen, Silvester - 1993
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14 The null space problem II: algorithms – Coleman, Pothen - 1987
11 Pathways to the Optimal Set – Megiddo - 1989
10 The null space problem I – Coleman, Pothen - 1986
10 Approximate solutions and eigenvalue bounds from Krylov spaces – Paige, Parlett, et al. - 1995
10 Splitting dense columns in sparse linear systems – Vanderbei - 1991
8 Hyperbolic pairs in the method of conjugate gradients – Luenberger - 1979
7 Performance of an augmented system approach for solving least-squares problems in an interior-point method for linear programming – Fourer, Mehrotra - 1991
7 A set of staircase linear programming test problems – Ho, Loute - 1981
6 Peisker: On the Numerical Solution of the Biharmonic Equation and the Role of Squaring Matrices for Preconditioning – Braess, Peisker - 1986
6 On scaling linear programming problems – Tomlin - 1975
4 The Solution of Large-Scale Least-Square Problems on – Duff - 1990