-
2
-
-
0030247572
-
A modified Schur complement method for handling dense columns in interior-point methods for linear programming
-
K.D. Anderson 1996 A modified Schur complement method for handling dense columns in interior-point methods for linear programming ACM Trans. Math. Softw. 22 348 356
-
(1996)
ACM Trans. Math. Softw.
, vol.22
, pp. 348-356
-
-
Anderson, K.D.1
-
3
-
-
0003412825
-
-
Boeing Shared Services Group, P.O. Box 24346, Mail Stop 7L-22, Seattle, WA 98124 (January). Available at
-
Ashcraft, C., Pierce, D., Wah, D.K., Wu, J.: The reference manual for SPOOLES, release 2.2: an object oriented software library for solving sparse linear systems of equations. Boeing Shared Services Group, P.O. Box 24346, Mail Stop 7L-22, Seattle, WA 98124 (January 1999). Available at http://netlib.bell- labs.com/netlib/linalg/spooles/spooles
-
(1999)
The Reference Manual for SPOOLES, Release 2.2: An Object Oriented Software Library for Solving Sparse Linear Systems of Equations
-
-
Ashcraft, C.1
Pierce, D.2
Wah, D.K.3
Wu, J.4
-
4
-
-
0001891186
-
An introduction to chordal graphs and clique trees
-
Springer New York
-
Blair, J.R.S., Peyton, B.: An introduction to chordal graphs and clique trees. In: George, A., Gilbert, J.R., Liu, J.W.H. (eds.) Graph Theory and Sparse Matrix Computation, pp. 1-29. Springer, New York (1993)
-
(1993)
Graph Theory and Sparse Matrix Computation
, pp. 1-29
-
-
Blair, J.R.S.1
Peyton, B.2
George, A.3
Gilbert, J.R.4
Liu, J.W.H.5
-
5
-
-
0012024481
-
An efficient trust region method for unconstrained discrete-time optimal control problems
-
T.F. Coleman A. Liao 1995 An efficient trust region method for unconstrained discrete-time optimal control problems Comput. Optim. Appl. 4 47 66
-
(1995)
Comput. Optim. Appl.
, vol.4
, pp. 47-66
-
-
Coleman, T.F.1
Liao, A.2
-
6
-
-
84966215545
-
Testing a class of methods for solving minimization problems with simple bounds on the variables
-
A.R. Conn N.I.M. Gould P.L. Toint 1988 Testing a class of methods for solving minimization problems with simple bounds on the variables Math. Comput. 50 399 430
-
(1988)
Math. Comput.
, vol.50
, pp. 399-430
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, P.L.3
-
7
-
-
0000609227
-
Exploiting sparsity in primal-dual Interior-point methods for semidefinite programming
-
K. Fujisawa M. Kojima K. Nakata 1997 Exploiting sparsity in primal-dual Interior-point methods for semidefinite programming Math. Program. 79 235 254
-
(1997)
Math. Program.
, vol.79
, pp. 235-254
-
-
Fujisawa, K.1
Kojima, M.2
Nakata, K.3
-
8
-
-
0035238840
-
Exploiting sparsity in semidefinite programming via matrix completion I: General framework
-
M. Fukuda M. Kojima K. Murota K. Nakata 2001 Exploiting sparsity in semidefinite programming via matrix completion I: general framework SIAM J. Optim. 11 647 674
-
(2001)
SIAM J. Optim.
, vol.11
, pp. 647-674
-
-
Fukuda, M.1
Kojima, M.2
Murota, K.3
Nakata, K.4
-
9
-
-
84878541685
-
-
GLOBAL Library, http://www.gamsworld.org/global/globallib.htm
-
GLOBAL Library
-
-
-
11
-
-
17444398132
-
Product-form Cholesky factorization in interior-point methods for second order cone programming
-
D. Goldfarb K. Scheinberg 2005 Product-form Cholesky factorization in interior-point methods for second order cone programming Math. Program. 103 153 179
-
(2005)
Math. Program.
, vol.103
, pp. 153-179
-
-
Goldfarb, D.1
Scheinberg, K.2
-
12
-
-
0003378255
-
On the unconstrained optimization of partially separable functions
-
Academic New York
-
Griewank, A., Toint, P.L.: On the unconstrained optimization of partially separable functions. In: Powell, M.J.D. (ed.) Nonlinear Optimization 1981, pp. 301-312. Academic, New York (1982)
-
(1982)
Nonlinear Optimization 1981
, pp. 301-312
-
-
Griewank, A.1
Toint, P.L.2
Powell, M.J.D.3
-
14
-
-
0003734628
-
-
Department of Computer Science/Army HPC Research Center, Minneapolis, MN 55455 (September); Available at
-
Karypis, G., Kumar, V.: METIS - A software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices, version 4.0. Department of Computer Science/Army HPC Research Center, University of Minnesota, Minneapolis, MN 55455 (September 1998); Available at http://www-users.cs.umn.edu/∼karypis/metis/metis
-
(1998)
METIS - A Software Package for Partitioning Unstructured Graphs, Partitioning Meshes, and Computing Fill-reducing Orderings of Sparse Matrices, Version 4.0
-
-
Karypis, G.1
Kumar, V.2
-
15
-
-
23844439934
-
Generalized Lagrangian duals and sums of squares relaxations of sparse polynomial optimization problems
-
S. Kim M. Kojima H. Waki 2005 Generalized Lagrangian duals and sums of squares relaxations of sparse polynomial optimization problems SIAM J. Optim. 15 697 719
-
(2005)
SIAM J. Optim.
, vol.15
, pp. 697-719
-
-
Kim, S.1
Kojima, M.2
Waki, H.3
-
16
-
-
49049117961
-
-
Research Report B-428, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152-8552, Japan (May)
-
Kim, S., Kojima, M., Toint, P.L.: Recognizing underlying sparsity in optimization. Research Report B-428, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152-8552, Japan (May 2006)
-
(2006)
Recognizing Underlying Sparsity in Optimization
-
-
Kim, S.1
Kojima, M.2
Toint, P.L.3
-
17
-
-
34547962268
-
-
Research Report B-421, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo 152-8552, Japan (January)
-
Kojima, M., Muramatsu, M.: A note on sparse SOS and SDP relaxations for polynomial optimization problems over symmetric cones. Research Report B-421, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo 152-8552, Japan (January 2006)
-
(2006)
A Note on Sparse SOS and SDP Relaxations for Polynomial Optimization Problems over Symmetric Cones
-
-
Kojima, M.1
Muramatsu, M.2
-
18
-
-
0031542833
-
Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices
-
M. Kojima S. Shindoh S. Hara 1997 Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices SIAM J. Optim. 7 86 125
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 86-125
-
-
Kojima, M.1
Shindoh, S.2
Hara, S.3
-
19
-
-
17444428545
-
Sparsity in sums of squares of polynomials
-
M. Kojima S. Kim H. Waki 2005 Sparsity in sums of squares of polynomials Math. Program. 103 45 62
-
(2005)
Math. Program.
, vol.103
, pp. 45-62
-
-
Kojima, M.1
Kim, S.2
Waki, H.3
-
20
-
-
0035238864
-
Global optimization with polynomials and the problems of moments
-
J.B. Lasserre 2001 Global optimization with polynomials and the problems of moments SIAM J. Optim. 11 796 817
-
(2001)
SIAM J. Optim.
, vol.11
, pp. 796-817
-
-
Lasserre, J.B.1
-
22
-
-
0000421739
-
A fast algorithm for reordering sparse matrices for parallel factorization
-
J.G. Lewis B.W. Peyton A. Pothen 1989 A fast algorithm for reordering sparse matrices for parallel factorization SIAM J. Sci. Comput. 10 1146 1173
-
(1989)
SIAM J. Sci. Comput.
, vol.10
, pp. 1146-1173
-
-
Lewis, J.G.1
Peyton, B.W.2
Pothen, A.3
-
23
-
-
0031285899
-
Primal-dual path-following algorithms for semidefinite programming
-
R.D.C. Monteiro 1997 Primal-dual path-following algorithms for semidefinite programming SIAM J. Optim. 7 663 678
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 663-678
-
-
Monteiro, R.D.C.1
-
25
-
-
0000304272
-
Using the conjugate gradient method in interior-point methods for semidefinite programs (in Japanese)
-
K. Nakata K. Fujisawa M. Kojima 1998 Using the conjugate gradient method in interior-point methods for semidefinite programs (in Japanese) Proc. Inst. Stat. Math. 46 297 316
-
(1998)
Proc. Inst. Stat. Math.
, vol.46
, pp. 297-316
-
-
Nakata, K.1
Fujisawa, K.2
Kojima, M.3
-
26
-
-
1542337154
-
Exploiting sparsity in semidefinite programming via matrix completion II: Implementation and numerical results
-
K. Nakata K. Fujisawa M. Fukuda M. Kojima K. Murota 2003 Exploiting sparsity in semidefinite programming via matrix completion II: implementation and numerical results Math. Program. 95 303 327
-
(2003)
Math. Program.
, vol.95
, pp. 303-327
-
-
Nakata, K.1
Fujisawa, K.2
Fukuda, M.3
Kojima, M.4
Murota, K.5
-
27
-
-
0021481124
-
Newton-type minimization via the Lanczos method
-
S.G. Nash 1984 Newton-type minimization via the Lanczos method SIAM J. Numer. Anal. 21 770 788
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 770-788
-
-
Nash, S.G.1
-
28
-
-
0032222088
-
Primal-dual interior-point for self-scaled cones
-
E.Yu. Nesterov M.J. Todd 1988 Primal-dual interior-point for self-scaled cones SIAM J. Optim. 8 324 364
-
(1988)
SIAM J. Optim.
, vol.8
, pp. 324-364
-
-
Nesterov, E.Yu.1
Todd, M.J.2
-
29
-
-
0036923521
-
Implementation of interior point methods for mixed semidefinite and second order cone optimization
-
F.J. Sturm 2002 Implementation of interior point methods for mixed semidefinite and second order cone optimization Optim. Methods Softw. 17 1105 1154
-
(2002)
Optim. Methods Softw.
, vol.17
, pp. 1105-1154
-
-
Sturm, F.J.1
-
30
-
-
4043058006
-
Solving large scale semidefinite programs via an iterative solver on the augmented systems
-
K.C. Toh 2004 Solving large scale semidefinite programs via an iterative solver on the augmented systems SIAM J. Optim. 14 670 698
-
(2004)
SIAM J. Optim.
, vol.14
, pp. 670-698
-
-
Toh, K.C.1
-
31
-
-
0036361611
-
Solving some large scale semidefinite programs via the conjugate residual method
-
K.C. Toh M. Kojima 2002 Solving some large scale semidefinite programs via the conjugate residual method SIAM J. Optim. 12 669 691
-
(2002)
SIAM J. Optim.
, vol.12
, pp. 669-691
-
-
Toh, K.C.1
Kojima, M.2
-
32
-
-
0033293480
-
A convergence analysis of the scaling-invariant primal-dual path-following algorithm for second-order cone programming
-
T. Tsuchiya 1999 A convergence analysis of the scaling-invariant primal-dual path-following algorithm for second-order cone programming Optim. Methods Softw. 11/12 141 182
-
(1999)
Optim. Methods Softw.
, vol.11-12
, pp. 141-182
-
-
Tsuchiya, T.1
-
33
-
-
0002090173
-
Symmetric quasidefinite matrices
-
R.J. Vanderbei 1995 Symmetric quasidefinite matrices SIAM J. Optim. 5 100 113
-
(1995)
SIAM J. Optim.
, vol.5
, pp. 100-113
-
-
Vanderbei, R.J.1
-
34
-
-
49049092515
-
-
Research Report B-414, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152-8552, Japan (March)
-
Waki, H., Kim, S., Kojima, M., Muramatsu, M.: SparsePOP: a sparse semidefinite programming relaxation of polynomial optimization problems. Research Report B-414, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152-8552, Japan (March 2005)
-
(2005)
SparsePOP: A Sparse Semidefinite Programming Relaxation of Polynomial Optimization Problems
-
-
Waki, H.1
Kim, S.2
Kojima, M.3
Muramatsu, M.4
-
35
-
-
33847158335
-
Sums of squares and semidefinite programming relaxations for polynomial optimization problems with structured sparsity
-
H. Waki S. Kim M. Kojima M. Muramatsu 2006 Sums of squares and semidefinite programming relaxations for polynomial optimization problems with structured sparsity SIAM J. Optim. 17 218 242
-
(2006)
SIAM J. Optim.
, vol.17
, pp. 218-242
-
-
Waki, H.1
Kim, S.2
Kojima, M.3
Muramatsu, M.4
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