-
1
-
-
34548504645
-
Absolute Stability of Regulator Systems, Holden-Day Series in Information Systems, Holden-Day, San Francisco, 1964
-
Moscow
-
M. A. AIZERMAN AND F. R. GANTMACHER, Absolute Stability of Regulator Systems, Holden-Day Series in Information Systems, Holden-Day, San Francisco, 1964. Originally published as Absolutnaya Ustoichivost' Regulirayemykh Sistem by The Academy of Sciences of the USSR, Moscow, 1963.
-
(1963)
Originally published as Absolutnaya Ustoichivost' Regulirayemykh Sistem by The Academy of Sciences of the USSR
-
-
AIZERMAN, M.A.1
GANTMACHER, F.R.2
-
2
-
-
0002439756
-
On some generalizations of convex sets and convex functions
-
A. ALEMAN, On some generalizations of convex sets and convex functions, Anal. Numér. Théor. Approx., 14 (1985), pp. 1-6.
-
(1985)
Anal. Numér. Théor. Approx
, vol.14
, pp. 1-6
-
-
ALEMAN, A.1
-
3
-
-
0034345435
-
Degenerate nonlinear programming with a quadratic growth condition
-
M. ANITESCU, Degenerate nonlinear programming with a quadratic growth condition, SIAM J. Optim., 10 (2000), pp. 1116-1135.
-
(2000)
SIAM J. Optim
, vol.10
, pp. 1116-1135
-
-
ANITESCU, M.1
-
4
-
-
0036433570
-
A superlinearly convergent sequential quadratically constrained quadratic programming algorithm for degenerate nonlinear programming
-
M. ANITESCU, A superlinearly convergent sequential quadratically constrained quadratic programming algorithm for degenerate nonlinear programming, SIAM J. Optim., 12 (2002), pp. 949-978.
-
(2002)
SIAM J. Optim
, vol.12
, pp. 949-978
-
-
ANITESCU, M.1
-
5
-
-
84968518180
-
A theorem on a mapping from a sphere to the circle and the simultaneous diagonalization of two Hermitian matrices
-
Y.-H. AU-YEUNG, A theorem on a mapping from a sphere to the circle and the simultaneous diagonalization of two Hermitian matrices, Proc. Amer. Math. Soc., 20 (1969), pp. 545-548.
-
(1969)
Proc. Amer. Math. Soc
, vol.20
, pp. 545-548
-
-
AU-YEUNG, Y.-H.1
-
6
-
-
0002825729
-
A remark on the convexity and positive definiteness concerning Hermitian matrices
-
Y.-H. AU-YEUNG AND Y. T. POON, A remark on the convexity and positive definiteness concerning Hermitian matrices, South East Asian Bull. Math., 3 (1979), pp. 85-92.
-
(1979)
South East Asian Bull. Math
, vol.3
, pp. 85-92
-
-
AU-YEUNG, Y.-H.1
POON, Y.T.2
-
7
-
-
84966234626
-
An extension of the Hausdorff-Toeplitz theorem on the numerical range
-
Y.-H. AU-YEUNG AND N.-K. TSING, An extension of the Hausdorff-Toeplitz theorem on the numerical range, Proc. Amer. Math. Soc., 89 (1983), pp. 215-218.
-
(1983)
Proc. Amer. Math. Soc
, vol.89
, pp. 215-218
-
-
AU-YEUNG, Y.-H.1
TSING, N.-K.2
-
8
-
-
51249169354
-
Feasibility testing for systems of real quadratic equations
-
A. I. BARVINOK, Feasibility testing for systems of real quadratic equations, Discrete Comput. Geom., 10 (1993), pp. 1-13.
-
(1993)
Discrete Comput. Geom
, vol.10
, pp. 1-13
-
-
BARVINOK, A.I.1
-
9
-
-
0035584604
-
A remark on the rank of positive semidefinite matrices subject to affine constraints
-
A. I. BARVINOK, A remark on the rank of positive semidefinite matrices subject to affine constraints, Discrete Comput. Geom., 25 (2001), pp. 23-31.
-
(2001)
Discrete Comput. Geom
, vol.25
, pp. 23-31
-
-
BARVINOK, A.I.1
-
10
-
-
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
-
11
-
-
34548472488
-
-
A. BEN-TAL AND A. NEMIROVSKI, Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications, MPS/SIAM Ser. Optim. 2, SIAM, Philadelphia, 2001.
-
A. BEN-TAL AND A. NEMIROVSKI, Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications, MPS/SIAM Ser. Optim. 2, SIAM, Philadelphia, 2001.
-
-
-
-
12
-
-
0007160775
-
-
A. BEN-TAL AND M. TEBOULLE, Hidden convexity in some nonconvex quadratically constrained quadratic programming, Math. Programming, 72 (1996), pp. 51-63.
-
A. BEN-TAL AND M. TEBOULLE, Hidden convexity in some nonconvex quadratically constrained quadratic programming, Math. Programming, 72 (1996), pp. 51-63.
-
-
-
-
13
-
-
0000892961
-
Recent improvements in the complexity of the effective Nullstellensatz
-
C. BERENSTEIN AND D. STRUPPA, Recent improvements in the complexity of the effective Nullstellensatz, Linear Algebra Appl., 157 (1991), pp. 203-215.
-
(1991)
Linear Algebra Appl
, vol.157
, pp. 203-215
-
-
BERENSTEIN, C.1
STRUPPA, D.2
-
14
-
-
0003503639
-
-
Springer-Verlag, Berlin
-
J. BOCHNAK, M. COSTE, AND M.-F. ROY, Real Algebraic Geometry, Springer-Verlag, Berlin, 1998.
-
(1998)
Real Algebraic Geometry
-
-
BOCHNAK, J.1
COSTE, M.2
ROY, M.-F.3
-
15
-
-
0003595806
-
-
SIAM Stud. Appl. Math. 15, SIAM, Philadelphia
-
S. BOYD, L. EL GHAOUI, E. FERON, AND V. BALAKRISHNAN, Linear Matrix Inequalities in System and Control Theory, SIAM Stud. Appl. Math. 15, SIAM, Philadelphia, 1994.
-
(1994)
Linear Matrix Inequalities in System and Control Theory
-
-
BOYD, S.1
EL GHAOUI, L.2
FERON, E.3
BALAKRISHNAN, V.4
-
16
-
-
21744454161
-
A systemization of convexity concepts for sets and functions
-
W. W. BRECKNER AND G. KASSAY, A systemization of convexity concepts for sets and functions, J. Convex Anal., 4 (1997), pp. 109-127.
-
(1997)
J. Convex Anal
, vol.4
, pp. 109-127
-
-
BRECKNER, W.W.1
KASSAY, G.2
-
17
-
-
0010120775
-
On the field of values of a matrix
-
L. BRICKMAN, On the field of values of a matrix, Proc. Amer. Math. Soc., 12 (1961), pp. 61-66.
-
(1961)
Proc. Amer. Math. Soc
, vol.12
, pp. 61-66
-
-
BRICKMAN, L.1
-
18
-
-
0003951723
-
-
MPS/SIAM Ser. Optim. 1, SIAM, Philadelphia
-
A. R. CONN, N. I. M. GOULD, AND PH. L. TOINT, Trust-Region Methods, MPS/SIAM Ser. Optim. 1, SIAM, Philadelphia, 2000.
-
(2000)
Trust-Region Methods
-
-
CONN, A.R.1
GOULD, N.I.M.2
TOINT, P.L.3
-
19
-
-
34548493068
-
-
Lecture notes, Delft University of Technology, Delft, The Netherlands
-
E. DE KLERK, C. ROOS, AND T. TERLAKY, Nonlinear Optimization, Lecture notes, Delft University of Technology, Delft, The Netherlands, 2003.
-
(2003)
Nonlinear Optimization
-
-
DE KLERK, E.1
ROOS, C.2
TERLAKY, T.3
-
20
-
-
34748853860
-
An improved probability bound for the approximate S-lemma
-
to appear; DOI 10.1016/j.orl.2007.02.003
-
K. DERINKUYU, M. Ç. PINAR, AND A. CAMCI, An improved probability bound for the approximate S-lemma, Oper. Res. Lett., to appear; DOI 10.1016/j.orl.2007.02.003.
-
Oper. Res. Lett
-
-
DERINKUYU, K.1
PINAR, M.C.2
CAMCI, A.3
-
22
-
-
0037958862
-
On the mapping of quadratic forms
-
L. L. DINES, On the mapping of quadratic forms, Bull. Amer. Math. Soc., 47 (1941), pp. 494-498.
-
(1941)
Bull. Amer. Math. Soc
, vol.47
, pp. 494-498
-
-
DINES, L.L.1
-
23
-
-
10344240568
-
On linear combinations of quadratic forms
-
L. L. DINES, On linear combinations of quadratic forms, Bull. Amer. Math. Soc., 49 (1943), pp. 388-393.
-
(1943)
Bull. Amer. Math. Soc
, vol.49
, pp. 388-393
-
-
DINES, L.L.1
-
24
-
-
0003139789
-
Minimax theorems
-
K. FAN, Minimax theorems, Proc. Natl. Acad. Sci., 39 (1953), pp. 42-47.
-
(1953)
Proc. Natl. Acad. Sci
, vol.39
, pp. 42-47
-
-
FAN, K.1
-
25
-
-
34249099301
-
Jordan-algebraic approach to convexity theorems for quadratic mappings
-
L. FAYBUSOVICH, Jordan-algebraic approach to convexity theorems for quadratic mappings, SIAM J. Optim., 17 (2006), pp. 558-576.
-
(2006)
SIAM J. Optim
, vol.17
, pp. 558-576
-
-
FAYBUSOVICH, L.1
-
26
-
-
0001641947
-
Über das Vorkommen definiter und semidefiniter Formen in Scharen quadratischer Formen
-
P. FINSLER, Über das Vorkommen definiter und semidefiniter Formen in Scharen quadratischer Formen, Comment. Math. Helv., 9 (1937), pp. 188-192.
-
(1937)
Comment. Math. Helv
, vol.9
, pp. 188-192
-
-
FINSLER, P.1
-
27
-
-
0013292935
-
The S-procedure and a duality relation in nonconvex problems of quadratic programming
-
A. L. FRADKOV AND V. A. YAKUBOVICH, The S-procedure and a duality relation in nonconvex problems of quadratic programming, Vestnik Leningrad. Univ., 5 (1979), pp. 101-109.
-
(1979)
Vestnik Leningrad. Univ
, vol.5
, pp. 101-109
-
-
FRADKOV, A.L.1
YAKUBOVICH, V.A.2
-
28
-
-
0000201892
-
Semidefinite programming relaxation for nonconvex quadratic programs
-
T. FUJIE AND M. KOJIMA, Semidefinite programming relaxation for nonconvex quadratic programs, J. Global Optim., 10 (1997), pp. 367-380.
-
(1997)
J. Global Optim
, vol.10
, pp. 367-380
-
-
FUJIE, T.1
KOJIMA, M.2
-
29
-
-
0038300035
-
Robust portfolio selection problems
-
D. GOLDFARB AND G. IYENGAR, Robust portfolio selection problems, Math. Oper. Res., 28 (2003), pp. 1-38.
-
(2003)
Math. Oper. Res
, vol.28
, pp. 1-38
-
-
GOLDFARB, D.1
IYENGAR, G.2
-
31
-
-
18244383505
-
Polynomial-time computing over quadratic maps I: Sampling in real algebraic sets
-
D. GRIGORIEV AND D. V. PASECHNIK, Polynomial-time computing over quadratic maps I: Sampling in real algebraic sets, Comput. Complexity, 14 (2005), pp. 20-52.
-
(2005)
Comput. Complexity
, vol.14
, pp. 20-52
-
-
GRIGORIEV, D.1
PASECHNIK, D.V.2
-
32
-
-
0142125738
-
Convexity of the joint numerical range: Topological and differential geometric viewpoints
-
E. GUTKIN, E. A. JONCKHEERE, AND M. KAROW, Convexity of the joint numerical range: Topological and differential geometric viewpoints, Linear Algebra Appl., 376 (2004), pp. 143-171.
-
(2004)
Linear Algebra Appl
, vol.376
, pp. 143-171
-
-
GUTKIN, E.1
JONCKHEERE, E.A.2
KAROW, M.3
-
33
-
-
0034695774
-
On the intrinsic complexity of the arithmetic Nullstellensatz
-
K. HAGELE, J. E. MORAIS, L. M. PARDO, AND M. SOMBRA, On the intrinsic complexity of the arithmetic Nullstellensatz, J. Pure Appl. Algebra, 146 (2000), pp. 103-183.
-
(2000)
J. Pure Appl. Algebra
, vol.146
, pp. 103-183
-
-
HAGELE, K.1
MORAIS, J.E.2
PARDO, L.M.3
SOMBRA, M.4
-
34
-
-
0000130163
-
Der Wertvorrat einer Bilinearform, Math
-
F. HAUSDORFF, Der Wertvorrat einer Bilinearform, Math. Zentralblatt, 3 (1919), pp. 314-316.
-
(1919)
Zentralblatt
, vol.3
, pp. 314-316
-
-
HAUSDORFF, F.1
-
35
-
-
84966240889
-
A theorem on quadratic forms and its application in the calculus of variations
-
M. R. HESTENES AND E. J. MCSHANE, A theorem on quadratic forms and its application in the calculus of variations, Trans. Amer. Math. Soc., 47 (1940), pp. 501-512.
-
(1940)
Trans. Amer. Math. Soc
, vol.47
, pp. 501-512
-
-
HESTENES, M.R.1
MCSHANE, E.J.2
-
36
-
-
0346144114
-
Conditions for global optimality 2
-
J.-B. HIRIART-URRUTY, Conditions for global optimality 2, J. Global Optim., 13 (1998), pp. 349-367.
-
(1998)
J. Global Optim
, vol.13
, pp. 349-367
-
-
HIRIART-URRUTY, J.-B.1
-
37
-
-
0035576919
-
Global optimality conditions in maximizing a convex quadratic function under convex quadratic constraints
-
J.-B. HIRIART-URRUTY, Global optimality conditions in maximizing a convex quadratic function under convex quadratic constraints, J. Global Optim., 21 (2001), pp. 445-455.
-
(2001)
J. Global Optim
, vol.21
, pp. 445-455
-
-
HIRIART-URRUTY, J.-B.1
-
38
-
-
84942484786
-
Ridge regression: Biased estimation for nonorthogonal problems
-
A. E. HOERL AND R. W. KENNARD, Ridge regression: Biased estimation for nonorthogonal problems, Technometrics, 12 (1970), pp. 55-67.
-
(1970)
Technometrics
, vol.12
, pp. 55-67
-
-
HOERL, A.E.1
KENNARD, R.W.2
-
39
-
-
34548485407
-
-
R. A. HORN AND C. R. JOHNSON, Topics in Matrix Analysis, Cambridge University Press, Cambridge, UK, 1991.
-
R. A. HORN AND C. R. JOHNSON, Topics in Matrix Analysis, Cambridge University Press, Cambridge, UK, 1991.
-
-
-
-
40
-
-
34548495416
-
On a Nonconvex Farkas Theorem and Its Application in Optimization Theory
-
Report 1992-03, Eötvös University, Budapest, Hungary
-
T. ILLÉS, I. JOÓ, AND G. KASSAY, On a Nonconvex Farkas Theorem and Its Application in Optimization Theory, Report 1992-03, Eötvös University, Budapest, Hungary, 1992.
-
(1992)
-
-
ILLÉS, T.1
JOÓ, I.2
KASSAY, G.3
-
41
-
-
0001164862
-
Farkas type theorems for generalized convexities
-
T. ILLÉS AND G. KASSAY, Farkas type theorems for generalized convexities, Pure Math. Appl., 5 (1994), pp. 225-239.
-
(1994)
Pure Math. Appl
, vol.5
, pp. 225-239
-
-
ILLÉS, T.1
KASSAY, G.2
-
42
-
-
0033244569
-
Theorems of the alternative and optimality conditions for convexlike and general convexlike programming
-
T. ILLÉS AND G. KASSAY, Theorems of the alternative and optimality conditions for convexlike and general convexlike programming, J. Optim. Theory Appl., 101 (1999), pp. 243-257.
-
(1999)
J. Optim. Theory Appl
, vol.101
, pp. 243-257
-
-
ILLÉS, T.1
KASSAY, G.2
-
43
-
-
34548474386
-
-
Royal Institute of Technology, Stockholm, Sweden
-
U. T. JÖNSSON, A Lecture on the S-procedure, Lecture notes, Division of Optimization and Systems Theory, Royal Institute of Technology, Stockholm, Sweden, 2001.
-
(2001)
A Lecture on the S-procedure, Lecture notes, Division of Optimization and Systems Theory
-
-
JÖNSSON, U.T.1
-
44
-
-
0242302674
-
-
S. KIM AND M. KOJIMA, Exact solutions of some nonconvex quadratic optimization problems via SDP and SOCP relaxations, Comput. Optim. Appl., 26 (2003), pp. 143-154.
-
S. KIM AND M. KOJIMA, Exact solutions of some nonconvex quadratic optimization problems via SDP and SOCP relaxations, Comput. Optim. Appl., 26 (2003), pp. 143-154.
-
-
-
-
45
-
-
0036883726
-
On the finite convergence of successive SDP relaxation methods
-
M. KOJIMA AND L. TUNÇEL, On the finite convergence of successive SDP relaxation methods, European J. Oper. Res., 143 (2002), pp. 325-341.
-
(2002)
European J. Oper. Res
, vol.143
, pp. 325-341
-
-
KOJIMA, M.1
TUNÇEL, L.2
-
46
-
-
84968474102
-
Sharp effective Nullstellensatz
-
J. KOLLÁR, Sharp effective Nullstellensatz, J. Amer. Math. Soc., 1 (1988), pp. 963-975.
-
(1988)
J. Amer. Math. Soc
, vol.1
, pp. 963-975
-
-
KOLLÁR, J.1
-
47
-
-
0001702789
-
Über das von Neumannsche Minimax-Theorem
-
H. KÖNIG, Über das von Neumannsche Minimax-Theorem, Arch. Math. (Basel), 19 (1968), pp. 482-487.
-
(1968)
Arch. Math. (Basel)
, vol.19
, pp. 482-487
-
-
KÖNIG, H.1
-
48
-
-
0018518970
-
Mathematical models for determining the intersections of quadric surfaces
-
J. LEVIN, Mathematical models for determining the intersections of quadric surfaces, Comput. Graphics Image Process., 11 (1979), pp. 73-87.
-
(1979)
Comput. Graphics Image Process
, vol.11
, pp. 73-87
-
-
LEVIN, J.1
-
49
-
-
0033633273
-
-
C.-K. LI AND Y.-T. POON, Convexity of the joint numerical range, SIAM J. Matrix Anal. Appl., 21 (2000), pp. 668-678.
-
C.-K. LI AND Y.-T. POON, Convexity of the joint numerical range, SIAM J. Matrix Anal. Appl., 21 (2000), pp. 668-678.
-
-
-
-
50
-
-
8744267024
-
Applications of convex optimization in signal processing and digital communication
-
Z.-Q. LUO, Applications of convex optimization in signal processing and digital communication, Math. Programming, 97 (2003), pp. 177-207.
-
(2003)
Math. Programming
, vol.97
, pp. 177-207
-
-
LUO, Z.-Q.1
-
51
-
-
9944244703
-
Multivariate nonnegative quadratic mappings
-
Z.-Q. LUO, J. F. STURM, AND S. ZHANG, Multivariate nonnegative quadratic mappings, SIAM J. Optim., 14 (2004), pp. 1140-1162.
-
(2004)
SIAM J. Optim
, vol.14
, pp. 1140-1162
-
-
LUO, Z.-Q.1
STURM, J.F.2
ZHANG, S.3
-
52
-
-
0000075780
-
On the theory of stability of control systems
-
A. I. LUR'E AND V. N. POSTNIKOV, On the theory of stability of control systems, Prikl. Mat. i Mekh., 8 (1944), pp. 3-13.
-
(1944)
Prikl. Mat. i Mekh
, vol.8
, pp. 3-13
-
-
LUR'E, A.I.1
POSTNIKOV, V.N.2
-
53
-
-
3943093474
-
S-Procedure in Optimal Non-stochastic Filtering
-
Technical Report TRITA/MAT-92-0015, Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden
-
A. MEGRETSKY, S-Procedure in Optimal Non-stochastic Filtering, Technical Report TRITA/MAT-92-0015, Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden, 1992.
-
(1992)
-
-
MEGRETSKY, A.1
-
54
-
-
0001253761
-
Power distribution in optimization and robustness of uncertain systems
-
A. MEGRETSKY AND S. TREIL, Power distribution in optimization and robustness of uncertain systems, J. Math. Systems Estim. Control, 3 (1993), pp. 301-319.
-
(1993)
J. Math. Systems Estim. Control
, vol.3
, pp. 301-319
-
-
MEGRETSKY, A.1
TREIL, S.2
-
55
-
-
0000467513
-
On maximization of quadratic forms over intersection of ellipsoids with common center
-
A. NEMIROVSKI, C. ROOS, AND T. TERLAKY, On maximization of quadratic forms over intersection of ellipsoids with common center, Math. Programming, 86 (1999), pp. 463-473.
-
(1999)
Math. Programming
, vol.86
, pp. 463-473
-
-
NEMIROVSKI, A.1
ROOS, C.2
TERLAKY, T.3
-
56
-
-
0030086619
-
An energy amplification condition for decentralized adaptive stabilization
-
R. ORTEGA, An energy amplification condition for decentralized adaptive stabilization, IEEE Trans. Automat. Control, 41 (1996), pp. 285-288.
-
(1996)
IEEE Trans. Automat. Control
, vol.41
, pp. 285-288
-
-
ORTEGA, R.1
-
57
-
-
0040730891
-
On the Facial Structure of Cone-LP's and Semidefinite Programs
-
MSRR-#595, Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PA
-
G. PATAKI, On the Facial Structure of Cone-LP's and Semidefinite Programs, Management Science Research Report MSRR-#595, Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PA, 1994.
-
(1994)
Management Science Research Report
-
-
PATAKI, G.1
-
58
-
-
0032070507
-
On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues
-
G. PATAKI, On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues, Math. Oper. Res., 23 (1998), pp. 339-358.
-
(1998)
Math. Oper. Res
, vol.23
, pp. 339-358
-
-
PATAKI, G.1
-
59
-
-
0031285896
-
-
J.-M. PENG AND Y.-X. YUAN, Optimality conditions for the minimization of a quadratic with two quadratic constraints, SIAM J. Optim., 7 (1997), pp. 579-594.
-
J.-M. PENG AND Y.-X. YUAN, Optimality conditions for the minimization of a quadratic with two quadratic constraints, SIAM J. Optim., 7 (1997), pp. 579-594.
-
-
-
-
60
-
-
34548477286
-
-
H. PÉPIN, Revue de la filière Mathématiques (RMS), 3 (2004), pp. 171-172. Answer to a problem posed by J.-B. Hiriart-Urruty.
-
H. PÉPIN, Revue de la filière Mathématiques (RMS), 3 (2004), pp. 171-172. Answer to a problem posed by J.-B. Hiriart-Urruty.
-
-
-
-
61
-
-
34548489949
-
-
E. PESONEN, Über die Sprektraldarstellung quadratischer Formen in linearen Räumen mit indefiniter Metrik, Ann. Acad. Sci. Fenn. Ser. A. I. 227, Finnish Academy of Sciences, 1956.
-
E. PESONEN, Über die Sprektraldarstellung quadratischer Formen in linearen Räumen mit indefiniter Metrik, Ann. Acad. Sci. Fenn. Ser. A. I. 227, Finnish Academy of Sciences, 1956.
-
-
-
-
63
-
-
0032259651
-
Convexity of quadratic transformations and its use in control and optimization
-
B. T. POLYAK, Convexity of quadratic transformations and its use in control and optimization, J. Optim. Theory Appl., 99 (1998), pp. 553-583.
-
(1998)
J. Optim. Theory Appl
, vol.99
, pp. 553-583
-
-
POLYAK, B.T.1
-
64
-
-
0035598864
-
Convexity of nonlinear image of a small ball with applications to optimization
-
B. T. POLYAK, Convexity of nonlinear image of a small ball with applications to optimization, Set-Valued Anal., 9 (2001), pp. 159-168.
-
(2001)
Set-Valued Anal
, vol.9
, pp. 159-168
-
-
POLYAK, B.T.1
-
65
-
-
0000124515
-
On the convex hull of the multiform numerical range
-
Y. T. POON, On the convex hull of the multiform numerical range, Linear Multilinear Algebra, 37 (1994), pp. 221-223.
-
(1994)
Linear Multilinear Algebra
, vol.37
, pp. 221-223
-
-
POON, Y.T.1
-
67
-
-
34548476106
-
Quadratic Maps with Convex Images
-
Report 36-94, Rutgers Center for Operations Research, Rutgers, New Brunswick, NJ
-
M. RAMANA AND A. J. GOLDMAN, Quadratic Maps with Convex Images, Report 36-94, Rutgers Center for Operations Research, Rutgers, New Brunswick, NJ, 1994.
-
(1994)
-
-
RAMANA, M.1
GOLDMAN, A.J.2
-
68
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
-
(1970)
Convex Analysis
-
-
ROCKAFELLAR, R.T.1
-
69
-
-
0031139062
-
Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz
-
M. SOMBRA, Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz, J. Pure Appl. Algebra, 117/118 (1991), pp. 565-559.
-
(1991)
J. Pure Appl. Algebra
, vol.117-118
, pp. 565-559
-
-
SOMBRA, M.1
-
70
-
-
0033076908
-
A sparse effective Nullstellensatz
-
M. SOMBRA, A sparse effective Nullstellensatz, Adv. Appl. Math., 22 (1999), pp. 271-295.
-
(1999)
Adv. Appl. Math
, vol.22
, pp. 271-295
-
-
SOMBRA, M.1
-
71
-
-
0001219945
-
Indefinite trust region subproblems and nonsymmetric eigenvalue perturbations
-
R. J. STERN AND H. WOLKOWICZ, Indefinite trust region subproblems and nonsymmetric eigenvalue perturbations, SIAM J. Optim., 5 (1995), pp. 286-313.
-
(1995)
SIAM J. Optim
, vol.5
, pp. 286-313
-
-
STERN, R.J.1
WOLKOWICZ, H.2
-
73
-
-
0038386380
-
On cones of nonnegative quadratic functions
-
J. F. STURM AND S. ZHANG, On cones of nonnegative quadratic functions, Math. Oper. Res., 28 (2003), pp. 246-267.
-
(2003)
Math. Oper. Res
, vol.28
, pp. 246-267
-
-
STURM, J.F.1
ZHANG, S.2
-
74
-
-
34250972218
-
Das algebraische Analogon zu einem Satze von Fejér
-
O. TOEPLITZ, Das algebraische Analogon zu einem Satze von Fejér, Math. Z., 2 (1918), pp. 187-197.
-
(1918)
Math. Z
, vol.2
, pp. 187-197
-
-
TOEPLITZ, O.1
-
75
-
-
1542351108
-
Further results on approximating nonconvex quadratic optimization by semidefinite programming relaxation
-
P. TSENG, Further results on approximating nonconvex quadratic optimization by semidefinite programming relaxation, SIAM J. Optim., 14 (2003), pp. 268-283.
-
(2003)
SIAM J. Optim
, vol.14
, pp. 268-283
-
-
TSENG, P.1
-
76
-
-
0011039516
-
Zur Theorie der bilinearen und quadratischen Formen, Monatsberichte der Königl
-
Berlin, May
-
K. WEIERSTRASS, Zur Theorie der bilinearen und quadratischen Formen, Monatsberichte der Königl. Preuss, Akademie der Wissenschaften zu Berlin, May 1868, pp. 310-338.
-
(1868)
Preuss, Akademie der Wissenschaften zu
, pp. 310-338
-
-
WEIERSTRASS, K.1
-
77
-
-
34548496553
-
-
D. XU AND S. ZHANG, Approximation Bounds for Quadratic Maximization with Semidefinite Programming Relaxation, Technical Report SEEM 2003-01, Department of Systems Engineering & Engineering Management, The Chinese University of Hong Kong, Hong Kong, 2003.
-
D. XU AND S. ZHANG, Approximation Bounds for Quadratic Maximization with Semidefinite Programming Relaxation, Technical Report SEEM 2003-01, Department of Systems Engineering & Engineering Management, The Chinese University of Hong Kong, Hong Kong, 2003.
-
-
-
-
79
-
-
0001138002
-
Minimization of quadratic functionals under quadratic constraints and the necessity of a frequency condition in the quadratic criterion for absolute stability of nonlinear control systems
-
V. A. YAKUBOVICH, Minimization of quadratic functionals under quadratic constraints and the necessity of a frequency condition in the quadratic criterion for absolute stability of nonlinear control systems, Soviet Math. Dokl., 14 (1973), pp. 593-597.
-
(1973)
Soviet Math. Dokl
, vol.14
, pp. 593-597
-
-
YAKUBOVICH, V.A.1
-
81
-
-
1542380911
-
-
Y. YE AND S. ZHANG, New results on quadratic minimization, SIAM J. Optim., 14 (2003), pp. 245-267.
-
Y. YE AND S. ZHANG, New results on quadratic minimization, SIAM J. Optim., 14 (2003), pp. 245-267.
-
-
-
-
82
-
-
0002765829
-
On a subproblem of trust region algorithms for constrained optimization
-
Y.-X. YUAN, On a subproblem of trust region algorithms for constrained optimization, Math. Programming, 47 (1990), pp. 53-63.
-
(1990)
Math. Programming
, vol.47
, pp. 53-63
-
-
YUAN, Y.-X.1
|