-
2
-
-
84966228742
-
Some stable methods for calculating inertia and solving symmetric linear systems
-
J. BUNCH AND L. KAUFMAN, Some stable methods for calculating inertia and solving symmetric linear systems, Math. Comput., 31 (1977), pp. 163-179.
-
(1977)
Math. Comput.
, vol.31
, pp. 163-179
-
-
Bunch, J.1
Kaufman, L.2
-
3
-
-
0043015970
-
The solution of augmented systems
-
Rutherford Appleton Laboratory, Oxon, U. K.
-
I. S. DUFF, The Solution of Augmented Systems, Technical report RAL-93-084, Rutherford Appleton Laboratory, Oxon, U. K., 1993.
-
(1993)
Technical Report RAL-93-084
-
-
Duff, I.S.1
-
4
-
-
85033104481
-
-
Report TRITA-MAT-1994-24, Royal Institute of Technology
-
A. FORSGREN, P. GILL, AND J. SHINNERL, Stability of Symmetric Ill-Conditioned Systems Arising in Interior Methods for Constrained Optimization, Report TRITA-MAT-1994-24, Royal Institute of Technology, 1994.
-
(1994)
Stability of Symmetric Ill-conditioned Systems Arising in Interior Methods for Constrained Optimization
-
-
Forsgren, A.1
Gill, P.2
Shinnerl, J.3
-
5
-
-
0002189178
-
Solving symmetric indefinite systems in an interior-point method for linear programming
-
R. FOURER AND S. MEHROTRA, Solving symmetric indefinite systems in an interior-point method for linear programming, Math. Programming, 62 (1993), pp. 15-39.
-
(1993)
Math. Programming
, vol.62
, pp. 15-39
-
-
Fourer, R.1
Mehrotra, S.2
-
6
-
-
0001856557
-
Theory of linear programming
-
H. W. Kuhn and A. W. Tucker, eds., Princeton University Press, Princeton, NJ
-
A. J. GOLDMAN AND A. W. TUCKER, Theory of linear programming, in Linear Equalities and Related Systems, H. W. Kuhn and A. W. Tucker, eds., Princeton University Press, Princeton, NJ, 1956, pp. 53-97.
-
(1956)
Linear Equalities and Related Systems
, pp. 53-97
-
-
Goldman, A.J.1
Tucker, A.W.2
-
7
-
-
0026876871
-
Path-following methods in linear programming
-
C. GONZAGA, Path-following methods in linear programming, SIAM Rev., 34 (1991), pp. 167-224.
-
(1991)
SIAM Rev.
, vol.34
, pp. 167-224
-
-
Gonzaga, C.1
-
8
-
-
0001114822
-
Convergence behavior of interior-point algorithms
-
O. GÜLER AND Y. YE, Convergence behavior of interior-point algorithms, Math. Programming, 60 (1993), pp. 215-228.
-
(1993)
Math. Programming
, vol.60
, pp. 215-228
-
-
Güler, O.1
Ye, Y.2
-
9
-
-
0026171528
-
An O(√nL) iteration potential reduction algorithm for linear complementarity problems
-
M. KOJIMA, S. MIZUNO, AND A. YOSHISE, An O(√nL) iteration potential reduction algorithm for linear complementarity problems, Math. Programming, 50 (1991), pp. 331-342.
-
(1991)
Math. Programming
, vol.50
, pp. 331-342
-
-
Kojima, M.1
Mizuno, S.2
Yoshise, A.3
-
10
-
-
0000114112
-
Computational experience with a primaldual interior point method for linear programming
-
I. J. LUSTIG, R. E. MARSTEN, AND D. F. SHANNO, Computational experience with a primaldual interior point method for linear programming, Linear Algebra Appl., 152 (1991), pp. 191-222.
-
(1991)
Linear Algebra Appl.
, vol.152
, pp. 191-222
-
-
Lustig, I.J.1
Marsten, R.E.2
Shanno, D.F.3
-
11
-
-
0028479748
-
Computational experience with a globally convergent primal-dual predictor-corrector algorithm for linear programming
-
I. J. LUSTIG, R. E. MARSTEN, AND D. F. SHANNO, Computational experience with a globally convergent primal-dual predictor-corrector algorithm for linear programming, Math. Programming, 66 (1994), pp. 123-135.
-
(1994)
Math. Programming
, vol.66
, pp. 123-135
-
-
Lustig, I.J.1
Marsten, R.E.2
Shanno, D.F.3
-
12
-
-
0001662422
-
Interior-point methods for linear programming: Computational state of the art
-
I. J. LUSTIG, R. E. MARSTEN, AND D. F. SHANNO, Interior-point methods for linear programming: Computational state of the art, ORSA J. Comput., 6 (1994), pp. 1-14.
-
(1994)
ORSA J. Comput.
, vol.6
, pp. 1-14
-
-
Lustig, I.J.1
Marsten, R.E.2
Shanno, D.F.3
-
13
-
-
0026386708
-
On finding primal- and dual-optimal bases
-
N. MEGIDDO, On finding primal- and dual-optimal bases, ORSA J. Comput., 3 (1991), pp. 63-65.
-
(1991)
ORSA J. Comput.
, vol.3
, pp. 63-65
-
-
Megiddo, N.1
-
14
-
-
0000561116
-
On the implementation of a primal-dual interior point method
-
S. MEHROTRA, On the implementation of a primal-dual interior point method, SIAM J. Optim., 2 (1992), pp. 575-601.
-
(1992)
SIAM J. Optim.
, vol.2
, pp. 575-601
-
-
Mehrotra, S.1
-
15
-
-
0000836925
-
On adaptive step primal-dual interior-point algorithms for linear programming
-
S. MIZUNO, M. TODD, AND Y. YE, On adaptive step primal-dual interior-point algorithms for linear programming, Math. Oper. Res., 18 (1993), pp. 964-981.
-
(1993)
Math. Oper. Res.
, vol.18
, pp. 964-981
-
-
Mizuno, S.1
Todd, M.2
Ye, Y.3
-
16
-
-
0007546262
-
-
Ph.D. thesis, Stanford University, Stanford, CA
-
D. B. PONCELEÓN, Barrier Methods for Large-scale Quadratic Programming, Ph.D. thesis, Stanford University, Stanford, CA, 1990.
-
(1990)
Barrier Methods for Large-scale Quadratic Programming
-
-
Ponceleón, D.B.1
-
17
-
-
0039606805
-
Potential reduction methods in mathematical programming
-
Cornell University, Ithaca, NY
-
M. TODD, Potential Reduction Methods in Mathematical Programming, Technical report 1112, Cornell University, Ithaca, NY, 1995.
-
(1995)
Technical Report
, vol.1112
-
-
Todd, M.1
-
18
-
-
0003664630
-
LOQO user's manual
-
Program in Statistics and Operations Research, Princeton University, Princeton, NJ
-
R. J. VANDERBEI, LOQO User's Manual, Technical report SOR 92-5, Program in Statistics and Operations Research, Princeton University, Princeton, NJ, 1992.
-
(1992)
Technical Report SOR 92-5
-
-
Vanderbei, R.J.1
-
19
-
-
21844522941
-
Stable numerical algorithms for equilibrium systems
-
S. VAVASIS, Stable numerical algorithms for equilibrium systems, SIAM J. Matrix Anal. Appl., 15 (1994), pp. 1108-1131.
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, pp. 1108-1131
-
-
Vavasis, S.1
-
20
-
-
0027903976
-
A path-following infeasible-interior-point algorithm for linear complementarity problems
-
S. J. WRIGHT, A path-following infeasible-interior-point algorithm for linear complementarity problems, Optimization Methods Software, 2 (1993), pp. 79-106.
-
(1993)
Optimization Methods Software
, vol.2
, pp. 79-106
-
-
Wright, S.J.1
-
21
-
-
21344446747
-
A path-following interior-point algorithm for linear and quadratic optimization problems
-
S. J. WRIGHT, A path-following interior-point algorithm for linear and quadratic optimization problems, Ann. Oper. Res., 62 (1996), pp. 103-130.
-
(1996)
Ann. Oper. Res.
, vol.62
, pp. 103-130
-
-
Wright, S.J.1
-
22
-
-
0039014262
-
Stability of linear equations solvers in interior-point methods
-
S. J. WRIGHT, Stability of linear equations solvers in interior-point methods, SIAM J. Matrix Anal. Appl., 16 (1994), pp. 1287-1307.
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 1287-1307
-
-
Wright, S.J.1
-
23
-
-
21344457406
-
A simplified homogeneous and self-dual linear programming algorithm and its implementation
-
X. XU, P. HUNG, AND Y. YE, A simplified homogeneous and self-dual linear programming algorithm and its implementation, Ann. Oper. Res., 62 (1996), pp. 151-172.
-
(1996)
Ann. Oper. Res.
, vol.62
, pp. 151-172
-
-
Xu, X.1
Hung, P.2
Ye, Y.3
-
24
-
-
30244459714
-
On the finite convergence of interior-point algorithms for linear programming
-
Y. YE, On the finite convergence of interior-point algorithms for linear programming, Math. Programming, 57 (1992), pp. 325-336.
-
(1992)
Math. Programming
, vol.57
, pp. 325-336
-
-
Ye, Y.1
-
25
-
-
0000252459
-
On the convergence of a class of infeasible-interior-point methods for the horizontal linear complementarity problem
-
Y. ZHANG, On the convergence of a class of infeasible-interior-point methods for the horizontal linear complementarity problem, SIAM J. Optim., 4 (1994), pp. 208-227.
-
(1994)
SIAM J. Optim.
, vol.4
, pp. 208-227
-
-
Zhang, Y.1
|