-
1
-
-
0031141136
-
Complementarity and nondegeneracy in semidefinite programming
-
Alizadeh, F., J.-P. A. Haeberly, M. L. Overton. 1997. Complementarity and nondegeneracy in semidefinite programming. Math. Programming 77 111-128.
-
(1997)
Math. Programming
, vol.77
, pp. 111-128
-
-
Alizadeh, F.1
Haeberly, J.-P.A.2
Overton, M.L.3
-
2
-
-
84927914894
-
On matrices depending on parameters
-
Arnold, V. I. 1971. On matrices depending on parameters. Russian Math. Surveys 26 29-43.
-
(1971)
Russian Math. Surveys
, vol.26
, pp. 29-43
-
-
Arnold, V.I.1
-
3
-
-
27244440823
-
Strong regularity of semidefinite programming problems
-
Department of Mathematical Engineering, Universida de Chile
-
Bonnans, J. F., H. Ramírez C. 2005. Strong regularity of semidefinite programming problems. Techical report, Department of Mathematical Engineering, Universida de Chile.
-
(2005)
Techical report
-
-
Bonnans, J.F.H.1
Ramírez, C.2
-
4
-
-
0032354477
-
Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions
-
Bonnans, J. F., A. Shapiro. 1998. Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. SIAM J. Optim. 8 940-946.
-
(1998)
SIAM J. Optim
, vol.8
, pp. 940-946
-
-
Bonnans, J.F.1
Shapiro, A.2
-
6
-
-
0032208079
-
Sensitivity analysis of optimization problems under second order regularity constraints
-
Bonnans, J. F., R. Cominetti, A. Shapiro. 1998. Sensitivity analysis of optimization problems under second order regularity constraints. Math. Oper. Res. 23 803-832.
-
(1998)
Math. Oper. Res
, vol.23
, pp. 803-832
-
-
Bonnans, J.F.1
Cominetti, R.2
Shapiro, A.3
-
7
-
-
0033434223
-
Second order optimality conditions based on parabolic second order tangent sets
-
Bonnans, J. F., R. Cominetti, A. Shapiro. 1999. Second order optimality conditions based on parabolic second order tangent sets. SIAM J. Optim. 9 466-493.
-
(1999)
SIAM J. Optim
, vol.9
, pp. 466-493
-
-
Bonnans, J.F.1
Cominetti, R.2
Shapiro, A.3
-
8
-
-
58049197110
-
Constraint nondegeneracy, strong regularity and nonsingularity in semidefinite programming
-
Chan, Z. X., D. Sun. 2008. Constraint nondegeneracy, strong regularity and nonsingularity in semidefinite programming. SIAM J. Optim. 19 370-396.
-
(2008)
SIAM J. Optim
, vol.19
, pp. 370-396
-
-
Chan, Z.X.1
Sun, D.2
-
10
-
-
0001303990
-
Metric regularity, tangent sets and second order optimality conditions
-
Cominetti, R. 1990. Metric regularity, tangent sets and second order optimality conditions. J. Appl. Math. Optim. 21 265-287.
-
(1990)
J. Appl. Math. Optim
, vol.21
, pp. 265-287
-
-
Cominetti, R.1
-
11
-
-
0001918140
-
On the basic theorem for complemenarity
-
Eaves, B. C. 1971. On the basic theorem for complemenarity. Math. Programming 1 68-75.
-
(1971)
Math. Programming
, vol.1
, pp. 68-75
-
-
Eaves, B.C.1
-
12
-
-
36148941392
-
Equivalence of two nondegeneracy conditions for semidefinite programs
-
Flegel, M. L., C. Kanzow. 2007. Equivalence of two nondegeneracy conditions for semidefinite programs. J. Optim. Theory Appl. 135 381-397.
-
(2007)
J. Optim. Theory Appl
, vol.135
, pp. 381-397
-
-
Flegel, M.L.1
Kanzow, C.2
-
14
-
-
0344153904
-
Computing the nearest correlation matrix - A problem from finance
-
Higham, N. J. 2002. Computing the nearest correlation matrix - A problem from finance. IMA J. Numer. Anal. 22 329-343.
-
(2002)
IMA J. Numer. Anal
, vol.22
, pp. 329-343
-
-
Higham, N.J.1
-
15
-
-
0037289395
-
Semidefinite programs: New search directions, smoothing-type methods, and numerical results
-
Kanzow, C., C. Nagel. 2002. Semidefinite programs: New search directions, smoothing-type methods, and numerical results. SIAM J. Optim. 13 1-23.
-
(2002)
SIAM J. Optim
, vol.13
, pp. 1-23
-
-
Kanzow, C.1
Nagel, C.2
-
16
-
-
0024011499
-
An envelope-like effect of infinitely many inequality constraints on second order necessary conditions for minimization problems
-
Kawasaki, H. 1988. An envelope-like effect of infinitely many inequality constraints on second order necessary conditions for minimization problems. Math. Programming 41 73-96.
-
(1988)
Math. Programming
, vol.41
, pp. 73-96
-
-
Kawasaki, H.1
-
18
-
-
33646744638
-
An algebraic condition equivalent to strong stability of stationary solutions of nonlinear positive semidefinite programms
-
Matsumoto, T. 2005. An algebraic condition equivalent to strong stability of stationary solutions of nonlinear positive semidefinite programms. SIAM J. Optim. 16 452-470.
-
(2005)
SIAM J. Optim
, vol.16
, pp. 452-470
-
-
Matsumoto, T.1
-
19
-
-
0035729262
-
A predictor-corrector algorithm for QSDP combining Dikin-type and Newton centering steps
-
Nie, J. W., Y. X. Yuan. 2001. A predictor-corrector algorithm for QSDP combining Dikin-type and Newton centering steps. Ann. Oper. Res. 103 115-133.
-
(2001)
Ann. Oper. Res
, vol.103
, pp. 115-133
-
-
Nie, J.W.1
Yuan, Y.X.2
-
20
-
-
0038300039
-
Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems
-
Pang, J.-S., D. Sun, J. Sun. 2003. Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems. Math. Oper. Res. 28 39-63.
-
(2003)
Math. Oper. Res
, vol.28
, pp. 39-63
-
-
Pang, J.-S.1
Sun, D.2
Sun, J.3
-
21
-
-
0000607524
-
Convergence analysis of some algorithms for solving nonsmooth equations
-
Qi, L. 1993. Convergence analysis of some algorithms for solving nonsmooth equations. Math. Oper. Res. 18 227-244.
-
(1993)
Math. Oper. Res
, vol.18
, pp. 227-244
-
-
Qi, L.1
-
22
-
-
0016962866
-
First order conditions for general nonlinear optimization
-
Robinson, S. M. 1976. First order conditions for general nonlinear optimization. SIAM J. Appl. Math. 30 597-607.
-
(1976)
SIAM J. Appl. Math
, vol.30
, pp. 597-607
-
-
Robinson, S.M.1
-
23
-
-
0018977011
-
Strongly regular generalized equations
-
Robinson, S. M. 1980. Strongly regular generalized equations. Math. Oper. Res. 5 43-62.
-
(1980)
Math. Oper. Res
, vol.5
, pp. 43-62
-
-
Robinson, S.M.1
-
24
-
-
0020901152
-
Local structure of feasible sets in nonlinear programming, Part II: Nondegeneracy
-
Robinson, S. M. 1984. Local structure of feasible sets in nonlinear programming, Part II: Nondegeneracy. Math. Programming Stud. 22 217-230.
-
(1984)
Math. Programming Stud
, vol.22
, pp. 217-230
-
-
Robinson, S.M.1
-
25
-
-
0038047997
-
Constriant nondegeneracy in variational analysis
-
Robinson, S. M. 2003. Constriant nondegeneracy in variational analysis. Math. Oper. Res. 28 201-232.
-
(2003)
Math. Oper. Res
, vol.28
, pp. 201-232
-
-
Robinson, S.M.1
-
27
-
-
0031139858
-
First and second order analysis of nonlinear semidefinite programms
-
Shapiro, A. 1997. First and second order analysis of nonlinear semidefinite programms. Math. Programming 77 301-320.
-
(1997)
Math. Programming
, vol.77
, pp. 301-320
-
-
Shapiro, A.1
-
28
-
-
0242627080
-
Duality, optimality conditions and perturbation analysis
-
R. Saigal, L. Vandenberghe, H. Wolkowicz, eds, Kluwer Academic Publishers, Boston
-
Shapiro, A. 2000. Duality, optimality conditions and perturbation analysis. R. Saigal, L. Vandenberghe, H. Wolkowicz, eds. Semidefinite Programming and Applications Handbook. Kluwer Academic Publishers, Boston, 67-92.
-
(2000)
Semidefinite Programming and Applications Handbook
, pp. 67-92
-
-
Shapiro, A.1
-
29
-
-
4844226011
-
Sensitivity anlaysis of generalized equations
-
Shapiro, A. 2003. Sensitivity anlaysis of generalized equations. J. Math. Sci. 115 2554-2565.
-
(2003)
J. Math. Sci
, vol.115
, pp. 2554-2565
-
-
Shapiro, A.1
-
30
-
-
0000496360
-
On eigenvalue optimization
-
Shapiro, A., M. K. H. Fan. 1995. On eigenvalue optimization. SIAM J. Optim. 5 552-569.
-
(1995)
SIAM J. Optim
, vol.5
, pp. 552-569
-
-
Shapiro, A.1
Fan, M.K.H.2
-
31
-
-
33746089809
-
The strong second-order sufficient condition and constraint nondegeneracy in nonlinear semidefinite programming and their implications
-
Sun, D. 2006. The strong second-order sufficient condition and constraint nondegeneracy in nonlinear semidefinite programming and their implications. Math. Oper. Res. 31 761-776.
-
(2006)
Math. Oper. Res
, vol.31
, pp. 761-776
-
-
Sun, D.1
-
32
-
-
0036474487
-
Semismooth matrix valued functions
-
Sun, D., J. Sun. 2002. Semismooth matrix valued functions. Math. Oper. Res. 27 150-169.
-
(2002)
Math. Oper. Res
, vol.27
, pp. 150-169
-
-
Sun, D.1
Sun, J.2
-
33
-
-
34547439695
-
An inexact primal-dual path-following algorithm for convex quadratic SDP
-
Toh, K. C. 2008. An inexact primal-dual path-following algorithm for convex quadratic SDP. Math. Programming 112 221-254.
-
(2008)
Math. Programming
, vol.112
, pp. 221-254
-
-
Toh, K.C.1
-
34
-
-
67649960686
-
-
Toh, K. C., R. H. Tütüncü, M. J. Todd. 2007. Inexact primal-dual path-following algorithms for a special class of convex quadratic SDP and related problems. Pacific J. Optim. 3 135-164.
-
Toh, K. C., R. H. Tütüncü, M. J. Todd. 2007. Inexact primal-dual path-following algorithms for a special class of convex quadratic SDP and related problems. Pacific J. Optim. 3 135-164.
-
-
-
-
35
-
-
0000557604
-
A duality theorem for nonlionear programming
-
Wolfe, P. 1961. A duality theorem for nonlionear programming. Quart. Appl. Math. 19 239-244.
-
(1961)
Quart. Appl. Math
, vol.19
, pp. 239-244
-
-
Wolfe, P.1
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