-
1
-
-
0001538575
-
Five definitions of critical points at infinity, in Singularities, The Brieskorn Anniversary Volume
-
A. DURFEE, Five definitions of critical points at infinity, in Singularities, The Brieskorn Anniversary Volume, Progr. Math., 162 (1998), pp. 345-360.
-
(1998)
Progr. Math
, vol.162
, pp. 345-360
-
-
DURFEE, A.1
-
2
-
-
0040092308
-
The index of gradf{x,y)
-
A. DURFEE, The index of gradf{x,y), Topology, 37 (1998), pp. 1339-1361.
-
(1998)
Topology
, vol.37
, pp. 1339-1361
-
-
DURFEE, A.1
-
3
-
-
33646731856
-
Semidefinite approximations for global unconstrained polynomial optimization
-
D. JIBETEAN AND M. LAURENT, Semidefinite approximations for global unconstrained polynomial optimization, SIAM J. Optim., 16 (2005), pp. 490-514.
-
(2005)
SIAM J. Optim
, vol.16
, pp. 490-514
-
-
JIBETEAN, D.1
LAURENT, M.2
-
4
-
-
67649501216
-
Infimum of Polynomials and Singularity at Infinity
-
A. Migdalas, P. M. Pardalos, and P. Värbrand, eds, Kluwer Academic Publishers
-
H. V. HÀ, Infimum of Polynomials and Singularity at Infinity, in From Local to Global Optimization, A. Migdalas, P. M. Pardalos, and P. Värbrand, eds, Kluwer Academic Publishers, (2001), pp. 187-204.
-
(2001)
From Local to Global Optimization
, pp. 187-204
-
-
HÀ, H.V.1
-
5
-
-
67649492447
-
-
H. V. HÀ AND T. S. PHAM, Minimizing Polynomial Functions, Acta Math. Vietnam., 32 (2007), pp. 71-82.
-
H. V. HÀ AND T. S. PHAM, Minimizing Polynomial Functions, Acta Math. Vietnam., 32 (2007), pp. 71-82.
-
-
-
-
6
-
-
67649507598
-
-
H. V. HÀ AND T. S. PHAM, An estimation of the number of bifurcation values for real polynomials, Acta Math. Vietnam., 32 (2007), pp. 35-47.
-
H. V. HÀ AND T. S. PHAM, An estimation of the number of bifurcation values for real polynomials, Acta Math. Vietnam., 32 (2007), pp. 35-47.
-
-
-
-
7
-
-
67649469258
-
-
H. V. HÀ AND T. S. PHAM, Critical values of singularities at infinity of complex polynomials, Vietnam J. Math., 36 (2008), pp. 1-38.
-
H. V. HÀ AND T. S. PHAM, Critical values of singularities at infinity of complex polynomials, Vietnam J. Math., 36 (2008), pp. 1-38.
-
-
-
-
9
-
-
0013172386
-
Semialgebraic Sard theorem for generalized critical values
-
K. KURDYKA, P. ORRO, AND S. SIMON, Semialgebraic Sard theorem for generalized critical values, J. Differential Geom., 56 (2000), pp. 67-92.
-
(2000)
J. Differential Geom
, vol.56
, pp. 67-92
-
-
KURDYKA, K.1
ORRO, P.2
SIMON, S.3
-
10
-
-
0035238864
-
Global optimization with polynomials and the problem of moments
-
J. B. LASSERRE, Global optimization with polynomials and the problem of moments, SIAM J. Optim., 11 (2001), pp. 796-817.
-
(2001)
SIAM J. Optim
, vol.11
, pp. 796-817
-
-
LASSERRE, J.B.1
-
11
-
-
33847278560
-
SOS approximations of nonnegative polynomials via simple high degree perturbations
-
J. B. LASSERRE AND T. NETZER, SOS approximations of nonnegative polynomials via simple high degree perturbations, Math. Z., 256 (2007), pp. 99-112.
-
(2007)
Math. Z
, vol.256
, pp. 99-112
-
-
LASSERRE, J.B.1
NETZER, T.2
-
12
-
-
0242541855
-
Optimization of polynomial functions
-
M. MARSHALL, Optimization of polynomial functions, Canad. Math. Bull., 46 (2003), pp. 575- 587.
-
(2003)
Canad. Math. Bull
, vol.46
, pp. 575-587
-
-
MARSHALL, M.1
-
13
-
-
67649478100
-
Representations of non-negative polynomials, degree bounds and applications to optimization
-
to appear
-
M. MARSHALL, Representations of non-negative polynomials, degree bounds and applications to optimization, Canad. J. Math., to appear.
-
Canad. J. Math
-
-
MARSHALL, M.1
-
15
-
-
38249014627
-
Milnor fibration at infinity
-
A. NÉMETHI AND A. ZAHARIA, Milnor fibration at infinity, Indag. Math., 3 (1992), pp. 323-335.
-
(1992)
Indag. Math
, vol.3
, pp. 323-335
-
-
NÉMETHI, A.1
ZAHARIA, A.2
-
16
-
-
0001776805
-
-
H. Frenk et al, eds, Kluwer Academic Publishers, Norwell, MA
-
Y. NESTEROV, Squared functional systems and optimization problems, High Performance Optimization, H. Frenk et al., eds., Kluwer Academic Publishers, Norwell, MA, (2000), pp. 405-440.
-
(2000)
Squared functional systems and optimization problems, High Performance Optimization
, pp. 405-440
-
-
NESTEROV, Y.1
-
17
-
-
33644502551
-
Minimizing polynomials via sum of squares over the gradient ideal
-
Math. Prog
-
J. NIE, J. DEMMEL, AND B. STURMFELS, Minimizing polynomials via sum of squares over the gradient ideal, Math. Prog., Ser. A, 106 (2006), pp. 587-606.
-
(2006)
Ser. A
, vol.106
, pp. 587-606
-
-
NIE, J.1
DEMMEL, J.2
STURMFELS, B.3
-
18
-
-
28044447638
-
Minimum ellipsoid bounds for solutions of polynomial systems via sum of squares
-
J. NiE AND J. DEMMEL, Minimum ellipsoid bounds for solutions of polynomial systems via sum of squares, J. Global Optim., 33 (2005), pp. 511-525.
-
(2005)
J. Global Optim
, vol.33
, pp. 511-525
-
-
NiE, J.1
DEMMEL, J.2
-
19
-
-
67649501215
-
-
Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization, Ph.D. Thesis, California Institute of Technology
-
P. A. PARRILO, Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization, Ph.D. Thesis, California Institute of Technology, 2000.
-
(2000)
-
-
PARRILO, P.A.1
-
21
-
-
1542266056
-
Semidefinite Programming relaxations for semialgebraic problems
-
P. A. PARRILO, Semidefinite Programming relaxations for semialgebraic problems, Math. Program. Ser. B, 96 (2003), pp. 293-320.
-
(2003)
Math. Program. Ser. B
, vol.96
, pp. 293-320
-
-
PARRILO, P.A.1
-
22
-
-
0001735721
-
On the bifurcation set of a complex polynomial with isolated singularities at infinity
-
A. PARUSIÑSKI, On the bifurcation set of a complex polynomial with isolated singularities at infinity, Compos. Math., 97 (1995), pp. 369-384.
-
(1995)
Compos. Math
, vol.97
, pp. 369-384
-
-
PARUSIÑSKI, A.1
-
24
-
-
0001157581
-
Some concrete aspects of Hilbert's 17th problem
-
B. REZNICK, Some concrete aspects of Hilbert's 17th problem, Contemp. Math., 253 (2000), pp. 251-272.
-
(2000)
Contemp. Math
, vol.253
, pp. 251-272
-
-
REZNICK, B.1
-
25
-
-
34547940429
-
Global optimization of polynomials using gradient tentacles and sums of squares
-
M. SCHWEIGHOFER, Global optimization of polynomials using gradient tentacles and sums of squares, SIAM J. Optim., 17 (2006), pp. 920-942.
-
(2006)
SIAM J. Optim
, vol.17
, pp. 920-942
-
-
SCHWEIGHOFER, M.1
-
27
-
-
0030106462
-
Semidefinite Programming
-
L. VANDENBERGHE AND S. BOYD, Semidefinite Programming, SIAM Rev., 38 (1996), pp. 49-95.
-
(1996)
SIAM Rev
, vol.38
, pp. 49-95
-
-
VANDENBERGHE, L.1
BOYD, S.2
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