-
1
-
-
0010279046
-
-
Springer-Verlag, Berlin
-
S. BASU, R. POLLACK, AND M.-F. ROY, Algorithms in Real Algebraic Geometry, Springer-Verlag, Berlin, 2003.
-
(2003)
Algorithms in Real Algebraic Geometry
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
2
-
-
0003908675
-
-
Springer-Verlag, New York
-
D. COX, J. LITTLE, AND D. O'SHEA, Ideals, Varieties, and Algorithms, 2nd ed., Springer-Verlag, New York, 1997.
-
(1997)
Ideals, Varieties, and Algorithms, 2nd Ed.
-
-
Cox, D.1
Little, J.2
O'Shea, D.3
-
3
-
-
0003352688
-
Using algebraic geometry
-
Springer-Verlag, New York
-
D. COX, J. LITTLE, AND D. O'SHEA, Using Algebraic Geometry, Grad. Texts in Math. 185, Springer-Verlag, New York, 1998.
-
(1998)
Grad. Texts in Math.
, vol.185
-
-
Cox, D.1
Little, J.2
O'Shea, D.3
-
4
-
-
0029684826
-
Solution of the truncated complex moment problem for flat data
-
R. E. CURTO AND L. A. FIALKOW, Solution of the truncated complex moment problem for flat data, Mem. Amer. Math. Soc., 119 (1996).
-
(1996)
Mem. Amer. Math. Soc.
, vol.119
-
-
Curto, R.E.1
Fialkow, L.A.2
-
5
-
-
23044517911
-
The truncated complex K-moment problem
-
R. E. CURTO AND L. A. FIALKOW, The truncated complex K-moment problem, Trans. Amer. Math. Soc., 352 (2000), pp. 2825-2855.
-
(2000)
Trans. Amer. Math. Soc.
, vol.352
, pp. 2825-2855
-
-
Curto, R.E.1
Fialkow, L.A.2
-
8
-
-
3543086027
-
Computing global minima to polynomial optimization problems using Gröbner bases
-
K. HÄGGLÖF, P. O. LINDBERG, AND L. STENVENSON, Computing global minima to polynomial optimization problems using Gröbner bases, J. Global Optim., 7 (1995), pp. 115-125.
-
(1995)
J. Global Optim.
, vol.7
, pp. 115-125
-
-
Hägglöf, K.1
Lindberg, P.O.2
Stenvenson, L.3
-
9
-
-
0042266229
-
Global minimization of a multivariate polynomial using matrix methods
-
B. HANZON AND D. JIBETEAN, Global minimization of a multivariate polynomial using matrix methods, J. Global Optim., 27 (2003), pp. 1-23.
-
(2003)
J. Global Optim.
, vol.27
, pp. 1-23
-
-
Hanzon, B.1
Jibetean, D.2
-
10
-
-
2542587541
-
GloptiPoly: Global optimization over polynomials with MATLAB and SeDuMi
-
D. HENRION AND J.-B. LASSERRE, GloptiPoly: Global optimization over polynomials with MATLAB and SeDuMi, ACM Trans. Math. Software, 29 (2003), pp. 165-194.
-
(2003)
ACM Trans. Math. Software
, vol.29
, pp. 165-194
-
-
Henrion, D.1
Lasserre, J.-B.2
-
11
-
-
33947537644
-
Detecting global optimality and extracting solutions in GloptiPoly
-
Positive Polynomials in Control D. Henrion and A. Garulli, eds., Springer-Verlag, Berlin
-
D. HENRION AND J.-B. LASSERRE, Detecting global optimality and extracting solutions in GloptiPoly, in Positive Polynomials in Control, Lecture Notes in Control and Inform. Sci. 312, D. Henrion and A. Garulli, eds., Springer-Verlag, Berlin, 2005, pp. 293-310.
-
(2005)
Lecture Notes in Control and Inform. Sci.
, vol.312
, pp. 293-310
-
-
Henrion, D.1
Lasserre, J.-B.2
-
12
-
-
29144455919
-
-
Ph.D. thesis, Vrije Universiteit, Amsterdam, The Netherlands
-
D. JIBETEAN, Algebraic Optimization with Applications to System Theory, Ph.D. thesis, Vrije Universiteit, Amsterdam, The Netherlands, 2003.
-
(2003)
Algebraic Optimization with Applications to System Theory
-
-
Jibetean, D.1
-
13
-
-
0034383022
-
A test for copositive matrices
-
W. KAPLAN, A test for copositive matrices, Linear Algebra Appl., 313 (2000), pp. 203-206.
-
(2000)
Linear Algebra Appl.
, vol.313
, pp. 203-206
-
-
Kaplan, W.1
-
14
-
-
33646724947
-
On the equivalence of algebraic approaches to the minimization of forms over the simplex
-
Positive Polynomials in Control D. Henrion and A. Garulli, eds., Springer-Verlag, Berlin
-
E. DE KLERK, M. LAURENT, AND P. PARRILO, On the equivalence of algebraic approaches to the minimization of forms over the simplex, in Positive Polynomials in Control, Lecture Notes in Control and Inform. Sci. 312, D. Henrion and A. Garulli, eds., Springer-Verlag, Berlin, 2005, pp. 121-133.
-
(2005)
Lecture Notes in Control and Inform. Sci.
, vol.312
, pp. 121-133
-
-
De Klerk, E.1
Laurent, M.2
Parrilo, P.3
-
15
-
-
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
-
17
-
-
26444549416
-
Revisiting two theorems of Curio and Fialkow on moment matrices
-
M. LAURENT, Revisiting two theorems of Curio and Fialkow on moment matrices, Proc. Amer. Math. Soc., 133 (2005), pp. 2965-2976.
-
(2005)
Proc. Amer. Math. Soc.
, vol.133
, pp. 2965-2976
-
-
Laurent, M.1
-
18
-
-
33845284255
-
Semidefinite representations for finite varieties
-
to appear
-
M. LAURENT, Semidefinite representations for finite varieties, Math. Program., to appear.
-
Math. Program.
-
-
Laurent, M.1
-
19
-
-
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
-
20
-
-
0000230999
-
Maxima for graphs and a new proof of a theorem of Túran
-
T. S. MOTZKIN AND E. G. STRAUS, Maxima for graphs and a new proof of a theorem of Túran, Canad. J. Math., 17 (1965), pp. 533-540.
-
(1965)
Canad. J. Math.
, vol.17
, pp. 533-540
-
-
Motzkin, T.S.1
Straus, E.G.2
-
21
-
-
0023452095
-
Some NP-complete problems in quadratic and nonlinear programming
-
K. G. MURTY AND S. N. KABADI, Some NP-complete problems in quadratic and nonlinear programming, Math. Program., 39 (1987), pp. 117-129.
-
(1987)
Math. Program.
, vol.39
, pp. 117-129
-
-
Murty, K.G.1
Kabadi, S.N.2
-
22
-
-
0003406070
-
-
Ph.D. thesis, California Institute of Technology, Pasadena, CA
-
P. A. PARRILO, Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization, Ph.D. thesis, California Institute of Technology, Pasadena, CA, 2000.
-
(2000)
Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization
-
-
Parrilo, P.A.1
-
23
-
-
1542266056
-
Semidefinite programming relaxations for semialgebraic problems
-
P. A. PARRILO, Semidefinite programming relaxations for semialgebraic problems, Math. Program., 96 (2003), pp. 293-320.
-
(2003)
Math. Program.
, vol.96
, pp. 293-320
-
-
Parrilo, P.A.1
-
25
-
-
2942687307
-
Minimizing polynomial functions
-
Algorithmic and Quantitative Real Algebraic Geometry S. Basu and L. Gonzales-Vega, eds., AMS, Providence, RI
-
P. A. PARRILO AND B. STURMFELS, Minimizing polynomial functions, in Algorithmic and Quantitative Real Algebraic Geometry, DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 60, S. Basu and L. Gonzales-Vega, eds., AMS, Providence, RI, 2003, pp. 83-99
-
(2003)
DIMACS Ser. Discrete Math. Theoret. Comput. Sci.
, vol.60
, pp. 83-99
-
-
Parrilo, P.A.1
Sturmfels, B.2
-
26
-
-
0000135301
-
Positive polynomials on compact semialgebraic sets
-
M. PUTINAR, Positive polynomials on compact semialgebraic sets, Indiana Univ. Math. J., 42 (1993), pp. 969-984.
-
(1993)
Indiana Univ. Math. J.
, vol.42
, pp. 969-984
-
-
Putinar, M.1
-
27
-
-
51249169659
-
Uniform denominators in Hilbert's 17th problem
-
B. REZNICK, Uniform denominators in Hilbert's 17th problem, Math. Z., 220 (1995), pp. 75-97.
-
(1995)
Math. Z.
, vol.220
, pp. 75-97
-
-
Reznick, B.1
-
28
-
-
33646736183
-
Class of global minimum bounds of polynomial functions
-
N. SHOR, Class of global minimum bounds of polynomial functions, Translated from Kibernet-ica, 6 (1987), pp. 9-11.
-
(1987)
Translated from Kibernet-ica
, vol.6
, pp. 9-11
-
-
Shor, N.1
|