-
2
-
-
0003292618
-
Some questions in the theory of moments
-
Am. Math. Soc., Providence, R.I.
-
Akhiezer, N.I., Krein, M.G.: Some questions in the theory of moments. Am. Math. Soc. Transl. 2, Am. Math. Soc., Providence, R.I. (1962)
-
(1962)
Am. Math. Soc. Transl.
, vol.2
-
-
Akhiezer, N.I.1
Krein, M.G.2
-
3
-
-
0040241930
-
Moments in probability theory and approximation theory
-
Longman Scientific & Technical
-
Anastassiou, G.A.: Moments in Probability Theory and Approximation Theory, Pitman Research Notes in Mathematics Series. Longman Scientific & Technical (1993)
-
(1993)
Pitman Research Notes in Mathematics Series
-
-
Anastassiou, G.A.1
-
6
-
-
0000913894
-
The multidimensional moment problem and semi-groups
-
Landau, H.J. (ed.) Moments in Mathematics. American Mathematical Society, Providence
-
Berg, C.: The multidimensional moment problem and semi-groups. In: Landau, H.J. (ed.) Moments in Mathematics. American Mathematical Society, Providence. Proc. Symp. Appl. Math. 37, 110-124 (1980)
-
(1980)
Proc. Symp. Appl. Math.
, vol.37
, pp. 110-124
-
-
Berg, C.1
-
7
-
-
23844499733
-
Optimal inequalities in probability theory: A convex optimization approach
-
Bertsimas D. and Popescu I. (2005). Optimal inequalities in probability theory: a convex optimization approach. SIAM J. Optim. 15: 780-804
-
(2005)
SIAM J. Optim.
, vol.15
, pp. 780-804
-
-
Bertsimas, D.1
Popescu, I.2
-
8
-
-
0000825922
-
Recursiveness, positivity, and truncated moment problems
-
Curto R.E. and Fialkow L.A. (1991). Recursiveness, positivity and truncated moment problems. Houston J. Math. 17: 603-635
-
(1991)
Houston J. Math.
, vol.17
, pp. 603-635
-
-
Curto, R.E.1
Fialkow, L.A.2
-
9
-
-
23044517911
-
The truncated complex K-moment problem
-
Curto R.E. and Fialkow L.A. (2000). The truncated complex K-moment problem. Trans. Am. Math. Soc. 352: 2825-2855
-
(2000)
Trans. Am. Math. Soc.
, vol.352
, pp. 2825-2855
-
-
Curto, R.E.1
Fialkow, L.A.2
-
10
-
-
2542587541
-
GloptiPoly:global optimization over polynomials with matlab and SeDuMi
-
Henrion D. and Lasserre J.B. (2003). GloptiPoly:global optimization over polynomials with matlab and SeDuMi. ACM Trans. Math. Soft. 29: 165-194
-
(2003)
ACM Trans. Math. Soft.
, vol.29
, pp. 165-194
-
-
Henrion, D.1
Lasserre, J.B.2
-
12
-
-
0013249284
-
Approximation schemes for infinite linear programs
-
Hernández-Lerma O. and Lasserre J.B. (1998). Approximation schemes for infinite linear programs. SIAM J. Optim. 8: 973-988
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 973-988
-
-
Hernández-Lerma, O.1
Lasserre, J.B.2
-
13
-
-
0009578965
-
The extrema of probability determined by generalized moments (I): Bounded random variables
-
Isii K. (1960). The extrema of probability determined by generalized moments (I): bounded random variables. Ann. Inst. Math. Stat. 12: 119-133
-
(1960)
Ann. Inst. Math. Stat.
, vol.12
, pp. 119-133
-
-
Isii, K.1
-
14
-
-
0001315224
-
On sharpness of Tchebycheff-type inequalities
-
Isii K. (1963). On sharpness of Tchebycheff-type inequalities. Ann. Inst. Stat. Math. 14: 185-197
-
(1963)
Ann. Inst. Stat. Math.
, vol.14
, pp. 185-197
-
-
Isii, K.1
-
15
-
-
0035531030
-
Distinguished representations of strictly positive polynomials
-
Jacobi T. and Prestel A. (2001). Distinguished representations of strictly positive polynomials. J. Reine. Angew. Math. 532: 223-235
-
(2001)
J. Reine. Angew. Math.
, vol.532
, pp. 223-235
-
-
Jacobi, T.1
Prestel, A.2
-
16
-
-
29144520191
-
Global optimization of rational functions: A semidefinite programming approach
-
Jibetean D. and de Klerk E. (2006). Global optimization of rational functions: a semidefinite programming approach. Math. Prog. A 106: 93-109
-
(2006)
Math. Prog. A
, vol.106
, pp. 93-109
-
-
Jibetean, D.1
De Klerk, E.2
-
18
-
-
0002471618
-
Geometry of the moment problem
-
Landau, H.J. (ed.) Moments in Mathematics, American Mathematical Society, Providence
-
Kemperman, J.H.B.: Geometry of the moment problem, In: Landau, H.J. (ed.) Moments in Mathematics, American Mathematical Society, Providence. Proc. Symp. Appl. Math. 37, 16-53 (1980)
-
(1980)
Proc. Symp. Appl. Math.
, vol.37
, pp. 16-53
-
-
Kemperman, J.H.B.1
-
19
-
-
0003197687
-
Markov moment problems and extremal problems
-
Translations of Am. Math. Soc., Providence, RI
-
Krein, M.G., Nudelman, A.A.: Markov Moment Problems and Extremal Problems. Translations of Math. Monographs vol. 50, Am. Math. Soc., Providence, RI (1977)
-
(1977)
Math. Monographs
, vol.50
-
-
Krein, M.G.1
Nudelman, A.A.2
-
20
-
-
0003372433
-
Moments in mathematics
-
Landau, H.J. (ed.) American Mathematical Society, Providence
-
Landau, H.J.: Moments in mathematics. In: Landau, H.J. (ed.) Proc. Symp. Appl. Math. 37, American Mathematical Society, Providence (1980)
-
(1980)
Proc. Symp. Appl. Math.
, vol.37
-
-
Landau, H.J.1
-
21
-
-
0035238864
-
Global optimization with polynomials and the problem of moments
-
Lasserre J.B. (2001). Global optimization with polynomials and the problem of moments. SIAM J. Optim. 11: 796-817
-
(2001)
SIAM J. Optim.
, vol.11
, pp. 796-817
-
-
Lasserre, J.B.1
-
22
-
-
0036351765
-
An explicit equivalent positive semidefinite program for nonlinear 0-1 programs
-
Lasserre J.B. (2002). An explicit equivalent positive semidefinite program for nonlinear 0-1 programs. SIAM J. Optim. 12: 756-769
-
(2002)
SIAM J. Optim.
, vol.12
, pp. 756-769
-
-
Lasserre, J.B.1
-
23
-
-
0036387295
-
Bounds on measures satisfying moment conditions
-
Lasserre J.B. (2002). Bounds on measures satisfying moment conditions. Ann. Appl. Prob. 12: 1114-1137
-
(2002)
Ann. Appl. Prob.
, vol.12
, pp. 1114-1137
-
-
Lasserre, J.B.1
-
24
-
-
33847178013
-
Nonlinear optimal control: Numerical approximations via moments and LMI relaxations
-
Sevilla, December Spain
-
Lasserre, J.B., Prieur, C., Henrion, D.: Nonlinear optimal control: Numerical approximations via moments and LMI relaxations. In: Proceedings of the 44th IEEE Conference on Decision and Control, Sevilla, December, pp. 1648-1653, Spain (2005)
-
(2005)
Proceedings of the 44th IEEE Conference on Decision and Control
, pp. 1648-1653
-
-
Lasserre, J.B.1
Prieur, C.2
Henrion, D.3
-
25
-
-
34547414295
-
-
LAAS-CNRS, Toulouse, France. (in preparation)
-
Lasserre, J.B., Prieur, C., Henrion D., Trélat, E.: Nonlinear optimal control with state constraints: Numerical approximations via moments and LMI relaxations. LAAS-CNRS, Toulouse, France. (in preparation)
-
Nonlinear Optimal Control with State Constraints: Numerical Approximations Via Moments and LMI Relaxations
-
-
Lasserre, J.B.1
Prieur, C.2
Henrion, D.3
Trélat, E.4
-
27
-
-
33745011879
-
Option pricing exotic options via moments and semidefinite relaxations
-
Lasserre J.B., Prieto-Rumeau T. and Zervos M. (2006). Option pricing exotic options via moments and semidefinite relaxations. Math. Financ. 16: 469-494
-
(2006)
Math. Financ.
, vol.16
, pp. 469-494
-
-
Lasserre, J.B.1
Prieto-Rumeau, T.2
Zervos, M.3
-
28
-
-
34547492080
-
Convergent semidefinite relaxations in polynomial optimization with sparsity
-
Lasserre J.B. (2006). Convergent semidefinite relaxations in polynomial optimization with sparsity. SIAM J. Optim. 17: 822-843
-
(2006)
SIAM J. Optim.
, vol.17
, pp. 822-843
-
-
Lasserre, J.B.1
-
29
-
-
26444549416
-
Revisiting two theorems of Curto and Fialkow on moment matrices
-
Laurent M. (2005). Revisiting two theorems of Curto and Fialkow on moment matrices. Proc. Amer. Math. Soc. 133: 2965-2976
-
(2005)
Proc. Amer. Math. Soc.
, vol.133
, pp. 2965-2976
-
-
Laurent, M.1
-
30
-
-
84972537501
-
Exponentially bounded positive definite functions
-
Maserick P.H. and Berg C. (1984). Exponentially bounded positive definite functions. Illinois J. Math. 28: 162-179
-
(1984)
Illinois J. Math.
, vol.28
, pp. 162-179
-
-
Maserick, P.H.1
Berg, C.2
-
31
-
-
0000939331
-
Quasi-analytic vectors
-
Nussbaum A.E. (1966). Quasi-analytic vectors. Ark. Mat. 6: 179-191
-
(1966)
Ark. Mat.
, vol.6
, pp. 179-191
-
-
Nussbaum, A.E.1
-
32
-
-
23044523312
-
Polynomials that are positive on an interval
-
Powers V. and Reznick B. (2000). Polynomials that are positive on an interval. Trans. Am. math. Soc. 352: 4677-4692
-
(2000)
Trans. Am. Math. Soc.
, vol.352
, pp. 4677-4692
-
-
Powers, V.1
Reznick, B.2
-
33
-
-
0013043479
-
On the relation between the multidimensional moment problem and the one dimensional moment problem
-
Petersen L.C. (1982). On the relation between the multidimensional moment problem and the one dimensional moment problem. Math. Scand. 51: 361-366
-
(1982)
Math. Scand.
, vol.51
, pp. 361-366
-
-
Petersen, L.C.1
-
34
-
-
0000135301
-
Positive polynomials on compact semi-algebraic sets
-
Putinar M. (1993). Positive polynomials on compact semi-algebraic sets. Indiana Univ. Math. J. 42: 969-984
-
(1993)
Indiana Univ. Math. J.
, vol.42
, pp. 969-984
-
-
Putinar, M.1
-
35
-
-
0001250675
-
The K-moment problem for compact semi-algebraic sets
-
Schmüdgen K. (1991). The K-moment problem for compact semi-algebraic sets. Math. Ann. 289: 203-206
-
(1991)
Math. Ann.
, vol.289
, pp. 203-206
-
-
Schmüdgen, K.1
-
36
-
-
23844493105
-
Optimization of polynomials on compact semialgebraic sets
-
Schweighofer M. (2005). Optimization of polynomials on compact semialgebraic sets. SIAM J. Optim. 15: 805-825
-
(2005)
SIAM J. Optim.
, vol.15
, pp. 805-825
-
-
Schweighofer, M.1
-
38
-
-
0002672593
-
The classical moment problem as a self-adjoint finite difference operator
-
Simon B. (1998). The classical moment problem as a self-adjoint finite difference operator. Adv. Math. 137: 82-203
-
(1998)
Adv. Math.
, vol.137
, pp. 82-203
-
-
Simon, B.1
-
39
-
-
0027556195
-
Convex duality and nonlinear optimal control
-
Vinter V. (1993). Convex duality and nonlinear optimal control. SIAM J. Control Optim. 31: 518-538
-
(1993)
SIAM J. Control Optim.
, vol.31
, pp. 518-538
-
-
Vinter, V.1
-
40
-
-
33847158335
-
Sums of squares and semidefinite programming relaxations for polynomial optimization problems with structured sparsity
-
Waki S., Kim S., Kojima M. and Maramatsu M. (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, S.1
Kim, S.2
Kojima, M.3
Maramatsu, M.4
|