-
3
-
-
84966205531
-
On pseudo-differentiability
-
R. Cominetti, On pseudo-differentiability, Trans. Amer. Math. Soc. 324 (1991), 843-865.
-
(1991)
Trans. Amer. Math. Soc.
, vol.324
, pp. 843-865
-
-
Cominetti, R.1
-
5
-
-
0039823531
-
A calculus rules on a new set-valued second derivative for convex functions
-
J.-B. Hiriart-Urruty and A. Seeger, A calculus rules on a new set-valued second derivative for convex functions, Nonlinear Anal. 13 (1989), 721-738.
-
(1989)
Nonlinear Anal.
, vol.13
, pp. 721-738
-
-
Hiriart-Urruty, J.-B.1
Seeger, A.2
-
6
-
-
21844488492
-
Sensitivity analysis of all eigenvalues of a symmetric matrix
-
J.-B. Hiriart-Urruty and D. Ye, Sensitivity analysis of all eigenvalues of a symmetric matrix, Numer. Math. 70 (1995), 45-72.
-
(1995)
Numer. Math.
, vol.70
, pp. 45-72
-
-
Hiriart-Urruty, J.-B.1
Ye, D.2
-
8
-
-
0030205038
-
Derivatives of spectral functions
-
A. S. Lewis, Derivatives of spectral functions, Math. Oper. Res. 21 (1996), 576-588.
-
(1996)
Math. Oper. Res.
, vol.21
, pp. 576-588
-
-
Lewis, A.S.1
-
9
-
-
0042602157
-
Eigenvalue optimization
-
A. S. Lewis and M. L. Overton, Eigenvalue optimization, Acta Numer. 5 (1996), 149-190.
-
(1996)
Acta Numer.
, vol.5
, pp. 149-190
-
-
Lewis, A.S.1
Overton, M.L.2
-
10
-
-
0040415952
-
Second order epi derivatives and the Dupin indicatrix for nonsmooth functions
-
D. Noll, Second order epi derivatives and the Dupin indicatrix for nonsmooth functions, Nonlinear Anal. 24 (1995), 563-573.
-
(1995)
Nonlinear Anal.
, vol.24
, pp. 563-573
-
-
Noll, D.1
-
12
-
-
34250080273
-
Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of a symmetric matrix
-
M. L. Overton and R. S. Womersley, Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of a symmetric matrix, Math. Program. Ser. B 62 (1993), 321-357.
-
(1993)
Math. Program. Ser. B
, vol.62
, pp. 321-357
-
-
Overton, M.L.1
Womersley, R.S.2
-
13
-
-
21844489704
-
Second derivatives for optimizing eigenvalues of symmetric matrices
-
M. L. Overton and R. S. Womersley, Second derivatives for optimizing eigenvalues of symmetric matrices, SIAM J. Matrix Anal. Appl. 16 (1995), 697-718.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 697-718
-
-
Overton, M.L.1
Womersley, R.S.2
-
14
-
-
0004267646
-
-
Princeton Univ. Press, Princeton, NJ
-
R. T. Rockafellar, "Convex Analysis," Princeton Univ. Press, Princeton, NJ, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
15
-
-
84966234425
-
Maximal monotone relations and the second derivatives of nonsmooth functions
-
R. T. Rockafellar, Maximal monotone relations and the second derivatives of nonsmooth functions, Ann. Inst. H. Poincaré, Analyse non linéaire 2 (1985), 167-184.
-
(1985)
Ann. Inst. H. Poincaré, Analyse Non Linéaire
, vol.2
, pp. 167-184
-
-
Rockafellar, R.T.1
-
16
-
-
84966228167
-
First and second epi-differentiability in nonlinear programming
-
R. T. Rockafellar, First and second epi-differentiability in nonlinear programming, Trans. Amer. Math. Soc. 307 (1988), 75-108.
-
(1988)
Trans. Amer. Math. Soc.
, vol.307
, pp. 75-108
-
-
Rockafellar, R.T.1
-
17
-
-
0000331856
-
Second order optimality conditions in non-linear programming by the way of epi derivatives
-
R. T. Rockafellar, Second order optimality conditions in non-linear programming by the way of epi derivatives, Trans. Amer. Math. Soc. 14 (1989), 462-484.
-
(1989)
Trans. Amer. Math. Soc.
, vol.14
, pp. 462-484
-
-
Rockafellar, R.T.1
-
18
-
-
84966214344
-
Generalized second derivatives of convex functions and saddle functions
-
R. T. Rockafellar, Generalized second derivatives of convex functions and saddle functions, Trans. Amer. Math. Soc. 322 (1990), 51-77.
-
(1990)
Trans. Amer. Math. Soc.
, vol.322
, pp. 51-77
-
-
Rockafellar, R.T.1
-
19
-
-
33646926972
-
Limiting behavior of the approximate second-order subdifferential of a convex function
-
A. Seeger, Limiting behavior of the approximate second-order subdifferential of a convex function, J. Optim. Theory Appl. 74 (1992), 527-544.
-
(1992)
J. Optim. Theory Appl.
, vol.74
, pp. 527-544
-
-
Seeger, A.1
-
20
-
-
0031529488
-
Convex analysis of spectrally defined matrix functions
-
A. Seeger, Convex analysis of spectrally defined matrix functions, SIAM J. Optim. 7 (1997), 679-696.
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 679-696
-
-
Seeger, A.1
-
21
-
-
0000859735
-
Perturbation theory of nonlinear programs when the set of optimal solutions is not a singleton
-
A. Shapiro, Perturbation theory of nonlinear programs when the set of optimal solutions is not a singleton, Appl. Math. Optim. 18 (1988), 215-229.
-
(1988)
Appl. Math. Optim.
, vol.18
, pp. 215-229
-
-
Shapiro, A.1
-
22
-
-
0000496360
-
On eigenvalue optimization
-
A. Shapiro and M. K. H. Fan, On eigenvalue optimization, SIAM J. Optim. 3 (1995), 552-568.
-
(1995)
SIAM J. Optim.
, vol.3
, pp. 552-568
-
-
Shapiro, A.1
Fan, M.K.H.2
-
23
-
-
85030065418
-
Epi-différentiabilité du premier et second ordre de certaines fonctions spectrales et conditions d'optimalité en optimisation de valeurs propres
-
Université Paul Sabatier
-
M. Torki, "Epi-différentiabilité du premier et second ordre de certaines fonctions spectrales et conditions d'optimalité en optimisation de valeurs propres," Technical Report, Laboratoire Approximation et Optimisation, Université Paul Sabatier, 1997.
-
(1997)
Technical Report, Laboratoire Approximation et Optimisation
-
-
Torki, M.1
-
24
-
-
0002931453
-
Second Order Directional Derivatives of all Eigenvalues of a Symmetric Matrix
-
Université Paul Sabatier
-
M. Torki, "Second Order Directional Derivatives of all Eigenvalues of a Symmetric Matrix," Technical Report, Laboratoire Approximation et Optimisation, Université Paul Sabatier, 1997.
-
(1997)
Technical Report, Laboratoire Approximation et Optimisation
-
-
Torki, M.1
|