-
1
-
-
21844502368
-
Criteria for copositive matrices using simplices and barycentric coordinates
-
l.-e. andersson, G. Z. chang, and t. elfving, Criteria for copositive matrices using simplices and barycentric coordinates, Linear Algebra Appl., 220 (1995), pp. 9-30.
-
(1995)
Linear Algebra Appl.
, vol.220
, pp. 9-30
-
-
Andersson, L.-E.1
Chang, G.Z.2
Elfving, T.3
-
2
-
-
27744568236
-
DC versus copositive bounds for standard QP
-
K. M. ANSTREicHER AND S. BuRER, DC versus copositive bounds for standard QP, J. Global Optim., 33 (2005), pp. 299-312.
-
(2005)
J. Global Optim.
, vol.33
, pp. 299-312
-
-
Anstreicher, K.M.1
Burer, S.2
-
3
-
-
31244433644
-
Optimal Hoffman-type estimates in eigenvalue and semidefinite inequality constraints
-
D. AzÉ AND J.-B. HiRIART-URRUTY, Optimal Hoffman-type estimates in eigenvalue and semidefinite inequality constraints, J. Global Optim., 24 (2002), pp. 133-147.
-
(2002)
J. Global Optim.
, vol.24
, pp. 133-147
-
-
Azé, D.1
Hiriart-Urruty, J.-B.2
-
5
-
-
0013555812
-
Theory of convex cones
-
G. P. BARKER Theory of convex cones, Linear Algebra Appl., 39 (1981), pp. 263-291.
-
(1981)
Linear Algebra Appl.
, vol.39
, pp. 263-291
-
-
Barker, G.P.1
-
6
-
-
0004970684
-
Extreme copositive quadratic forms
-
V. J. D. BASTON, Extreme copositive quadratic forms, Acta Arith., 15 (1968/1969), pp. 319-327.
-
(1968)
Acta Arith.
, vol.15
, pp. 319-327
-
-
Baston, V.J.D.1
-
7
-
-
84972513398
-
Extreme copositive quadratic forms
-
L. D. BAUMERT, Extreme copositive quadratic forms, Pac ific J. Math., 19 (1966), pp. 197-204.
-
(1966)
Pac Ific J. Math.
, vol.19
, pp. 197-204
-
-
Baumert, L.D.1
-
8
-
-
84972539512
-
Extreme copositive quadratic forms
-
L. D. BAUMERT Extreme copositive quadratic forms, II, Pacific J. Math., 20 (1967), pp. 1-20.
-
(1967)
II, Pacific J. Math.
, vol.20
, pp. 1-20
-
-
Baumert, L.D.1
-
9
-
-
0003658403
-
Nonnegative Matrices in the Mathematical Sciences, revised reprint of the 1979 original
-
SIAM, Philadelphia, PA
-
A. BERMAN AND R. J. PLEMMONS, Nonnegative Matrices in the Mathematical Sciences, revised reprint of the 1979 original, Classics Appl. Math. 9, SIAM, Philadelphia, PA, 1994.
-
(1994)
Classics Appl. Math.
, vol.9
-
-
Berman, A.1
Plemmons, R.J.2
-
11
-
-
0002213060
-
Remarks on the recursive structure of copositivity
-
I. M. BOMZE, Remarks on the recursive structure of copositivity, J. Inform. Optim. Sci., 8 (1987), pp. 243-260.
-
(1987)
J. Inform. Optim. Sci.
, vol.8
, pp. 243-260
-
-
Bomze, I.M.1
-
12
-
-
84859266377
-
Copositivity and optimization
-
I. M. BOMZE, Copositivity and optimization, Methods Oper. Res., 58 (1989), pp. 27-35.
-
(1989)
Methods Oper. Res.
, vol.58
, pp. 27-35
-
-
Bomze, I.M.1
-
13
-
-
0001811674
-
Copositivity conditions for global optimality in indefinite quadratic programming problems
-
I. M. BOMZE, Copositivity conditions for global optimality in indefinite quadratic programming problems, Czechoslovak J. Oper. Res., 1 (1992), pp. 7-19.
-
(1992)
Czechoslovak J. Oper. Res.
, vol.1
, pp. 7-19
-
-
Bomze, I.M.1
-
14
-
-
0030486436
-
Block pivoting and shortcut strategies for detecting copositivity
-
I. M. BOMZE, Block pivoting and shortcut strategies for detecting copositivity, Linear Algebra Appl., 248 (1996), pp. 161-184.
-
(1996)
Linear Algebra Appl.
, vol.248
, pp. 161-184
-
-
Bomze, I.M.1
-
15
-
-
0034342188
-
Linear-time copositivity detection for tridiagonal matrices and extension to block-tridiagonality
-
I. M. BOMZE, Linear-time copositivity detection for tridiagonal matrices and extension to block-tridiagonality, SIAM J. Matrix Anal. Appl., 21 (2000), pp. 840-848.
-
(2000)
SIAM J. Matrix Anal. Appl.
, vol.21
, pp. 840-848
-
-
Bomze, I.M.1
-
16
-
-
0036734114
-
Regularity versus degeneracy in dynamics, games, and optimization: A unified approach to different aspects
-
I. M. BOMZE, Regularity versus degeneracy in dynamics, games, and optimization: A unified approach to different aspects, SIAM Rev., 44 (2002), pp. 394-414.
-
(2002)
SIAM Rev.
, vol.44
, pp. 394-414
-
-
Bomze, I.M.1
-
17
-
-
42749096246
-
Perron-Frobenius property of copositive matrices, and a block copositivity criterion
-
I. M. BOMZE, Perron-Frobenius property of copositive matrices, and a block copositivity criterion, Linear Algebra Appl., 429 (2008), pp. 68-71.
-
(2008)
Linear Algebra Appl.
, vol.429
, pp. 68-71
-
-
Bomze, I.M.1
-
18
-
-
0011565238
-
On copositive programming and standard quadratic optimization problems
-
I. M. Bomze, M. DÜR, E. de Klerk, C. Roos, A. J. Quist, and T. Terlaky, On copositive programming and standard quadratic optimization problems, J. Global Optim., 18 (2000), pp. 301-320.
-
(2000)
J. Global Optim.
, vol.18
, pp. 301-320
-
-
Bomze, I.M.1
Dür, M.2
De Klerk, E.3
Roos, C.4
Quist, A.J.5
Terlaky, T.6
-
19
-
-
31244435061
-
Solving standard quadra tic optimization problems via linear, semidefinite and copositive programming
-
I. M. BOMZE AND E. DE KLERK, Solving standard quadra tic optimization problems via linear, semidefinite and copositive programming, J. Global Optim., 24 (2002), pp. 163-185.
-
(2002)
J. Global Optim.
, vol.24
, pp. 163-185
-
-
Bomze, I.M.1
De Klerk, E.2
-
20
-
-
25444488772
-
Quartic formulation of standard quadratic optimization problems
-
DOI 10.1007/s10898-004-2701-z
-
I. M. BOMZE AND L. PALAGI, Quartic formulation of standard quadratic optimization problems, J. Global Optim., 32 (2005), pp. 181-205. (Pubitemid 41367545)
-
(2005)
Journal of Global Optimization
, vol.32
, Issue.2
, pp. 181-205
-
-
Bomze, I.M.1
Palagi, L.2
-
21
-
-
79952983238
-
-
Ph.D. thesis, TU Darmstadt
-
S. BUNDFUSS, Copositive Matrices, Copositive Programming, and Applications, Ph.D. thesis, TU Darmstadt, 2009.
-
(2009)
Copositive Matrices, Copositive Programming, and Applications
-
-
Bundfuss, S.1
-
22
-
-
38849167450
-
Algorithmic copositivity detection by simplicial partition
-
DOI 10.1016/j.laa.2007.09.035, PII S0024379507004466
-
S. BUNDFUSS AND M. DÜR, Algorithmic copositivity detection by simplicial partition, Linear Algebra Appl., 428 (2008), pp. 1511-1523. (Pubitemid 351191953)
-
(2008)
Linear Algebra and Its Applications
, vol.428
, Issue.7
, pp. 1511-1523
-
-
Bundfuss, S.1
Dur, M.2
-
23
-
-
67349282710
-
On the copositive representation of binary and continuous nonconvex quadratic programs
-
S. BURER, On the copositive representation of binary and continuous nonconvex quadratic programs, Math. Program., 120 (2009), pp. 479-495.
-
(2009)
Math. Program.
, vol.120
, pp. 479-495
-
-
Burer, S.1
-
24
-
-
68349144699
-
The difference between 5x5 doubly nonnegative and completely positive matrices
-
S. BURER, K. M. ANSTREICHER, AND M. DÜR, The difference between 5x5 doubly nonnegative and completely positive matrices, Linear Algebra Ap pl., 431 (2009), pp. 1539-1552.
-
(2009)
Linear Algebra Ap Pl.
, vol.431
, pp. 1539-1552
-
-
Burer, S.1
Anstreicher, K.M.2
Dür, M.3
-
25
-
-
0028374956
-
Nonnegative quadratic Bézier triangular patches
-
G. CHANG AND T. W. SEDERBERG, Nonnegative quadratic Bézier triangular patches, Comput. Aided Geom. Design, 11 (1994), pp. 113-116.
-
(1994)
Comput. Aided Geom. Design
, vol.11
, pp. 113-116
-
-
Chang, G.1
Sederberg, T.W.2
-
26
-
-
0001229486
-
Une caractérisation complète des minima locaux en programmation quadratique
-
L. CONTESSE, Une caractérisation complète des minima locaux en programmation quadratique, Numer. Math., 34 (1980), pp. 315-332.
-
(1980)
Numer. Math.
, vol.34
, pp. 315-332
-
-
Contesse, L.1
-
28
-
-
0010360003
-
-
University Press, Princeton, NJ
-
R. W. COTTLE, G. J. HABETLER, AND C. E. LEMKE, Quadratic forms semi-definite over convex cones, in Proceedings of the Princeton Symposium on Mathematical Programming, Princeton University Press, Princeton, NJ, 1970, pp 551-565.
-
(1970)
Quadratic Forms Semi-definite over Convex Cones, in Proceedings of the Princeton Symposium on Mathematical Programming, Princeton
, pp. 551-565
-
-
Cottle, R.W.1
Habetler, G.J.2
Lemke, C.E.3
-
29
-
-
0014970402
-
On classes of copositive matrices
-
R. W. COTTLE, G. J. HABETLER, AND C. E. LEMKE, On classes of copositive matrices, Linear Algebra Appl., 3 (1970), pp. 295-310.
-
(1970)
Linear Algebra Appl.
, vol.3
, pp. 295-310
-
-
Cottle, R.W.1
Habetler, G.J.2
Lemke, C.E.3
-
30
-
-
21844495729
-
An alternative theorem for quadratic forms and extensions
-
J.-P. CROUZEIX, J.-E. MARTÍNEZ-LEGAZ, AND A. SEEGER, An alternative theorem for quadratic forms and extensions, Linear Algebra Appl., 215 (1995), pp. 121-134.
-
(1995)
Linear Algebra Appl.
, vol.215
, pp. 121-134
-
-
Crouzeix, J.-P.1
Martínez-Legaz, J.-E.2
Seeger, A.3
-
31
-
-
0001862081
-
A recursive algorithm for determining (strict) copositivity of a symmetric matrix, in Proceedings of the 14th Symposium on Operations Research (Ulm 1989)
-
Hain, Frankfurt am Main
-
G. DANNINGER, A recursive algorithm for determining (strict) copositivity of a symmetric matrix, in Proceedings of the 14th Symposium on Operations Research (Ulm, 1989), Methods Oper. Res. 62, Hain, Frankfurt am Main, 1990, pp. 45-52.
-
(1990)
Methods Oper. Res.
, vol.62
, pp. 45-52
-
-
Danninger, G.1
-
32
-
-
0026970916
-
Role of copositivity in optimality criteria for nonconvex optimization problems
-
G. DANNINGER, Role of copositivity in optimality criteria for nonconvex optimization problems, J. Optim. Theory Appl., 75 (1992), pp. 535-558. (Pubitemid 23599002)
-
(1992)
Journal of Optimization Theory and Applications
, vol.75
, Issue.3
, pp. 535-558
-
-
Danninger, G.1
-
33
-
-
34250084013
-
Using copositivity for global optimality criteria in concave quadratic programming problems
-
G. DANNINGER AND I. M. BOMZE, Using copositivity for global optimality criteria in concave quadratic programming problems, Math. Programming, 62 (1993), pp. 575-580.
-
(1993)
Math. Programming
, vol.62
, pp. 575-580
-
-
Danninger, G.1
Bomze, I.M.2
-
35
-
-
0002106815
-
On nonnegative forms in real variables some or all of which are nonnegative
-
P. H. Diananda, On nonnegative forms in real variables some or all of which are nonnegative, Proc. Cambridge Philos. Soc., 58 (1962), p p. 17-25.
-
(1962)
Proc. Cambridge Philos. Soc.
, vol.58
, pp. 17-25
-
-
Diananda, P.H.1
-
36
-
-
79952955093
-
Copositive programming motivated bounds on the stability and the chromatic numbers
-
I. DukANovic AND F. Rendl, Copositive programming motivated bounds on the stability and the chromatic numbers, Math. Program., 121 (2009) , pp. 249-268.
-
(2009)
Math. Program.
, vol.121
, pp. 249-268
-
-
Dukanovic, I.1
Rendl, F.2
-
37
-
-
39049123653
-
Interior points of the completely positive cone
-
M. DÜR AND G. Still, Interior points of the completely positive cone, Electron. J. Linear Algebra, 17 (2008), pp. 48-53.
-
(2008)
Electron. J. Linear Algebra
, vol.17
, pp. 48-53
-
-
Dür, M.1
Still, G.2
-
38
-
-
59649110020
-
Set-semidefinite optimization
-
G. EICHFELDER AND J. JAHN, Set-semidefinite optimization, J. Convex Anal., 15 (2008), pp. 767-801.
-
(2008)
J. Convex Anal.
, vol.15
, pp. 767-801
-
-
Eichfelder, G.1
Jahn, J.2
-
39
-
-
0036353324
-
A new condition measure, preconditioners, and relations between different measures of conditioning for conic linear systems
-
M. EPELMAN AND R. M. FREUND, A new condition measure, preconditioners, and relations between different measures of conditioning for conic linear systems, SIAM J.Optim., 12 (2002), pp. 627-655.
-
(2002)
SIAM J.Optim.
, vol.12
, pp. 627-655
-
-
Epelman, M.1
Freund, R.M.2
-
41
-
-
0043067213
-
Positivity with respect to the round cone
-
M. FIEDLER, Positivity with respect to the round cone, Mat. Časopis Sloven. Akad. Vied, 24 (1974), pp. 155-159.
-
(1974)
Mat. Časopis Sloven. Akad. Vied
, vol.24
, pp. 155-159
-
-
Fiedler, M.1
-
42
-
-
0242679721
-
On the primal-dual geometry of level sets in linear and conic optimization
-
DOI 10.1137/S1052623401393645, PII S1052623401393645
-
R. M. FREUND, On the primal-dual geometry of level sets in linear and conic optimization, SIAM J. Optim., 13 (2003), pp. 1004-1013. (Pubitemid 37395683)
-
(2003)
SIAM Journal on Optimization
, vol.13
, Issue.4
, pp. 1004-1013
-
-
Freund, R.M.1
-
43
-
-
0033261317
-
Condition-based complexity of convex optimization in conic linear form via the ellipsoid algorithm
-
R. M. FREUND AND J. R. Vera, Condition-based complexity of convex optimization in conic linear form via the ellipsoid algorithm, SIAM J. Optim., 10 (1999), pp. 155-176.
-
(1999)
SIAM J. Optim.
, vol.10
, pp. 155-176
-
-
Freund, R.M.1
Vera, J.R.2
-
44
-
-
84972510518
-
Linear inequalities and quadratic forms
-
J. W. GADDUM, Linear inequalities and quadratic forms, Pacific J. Math., 8 (1958), pp. 411-414.
-
(1958)
Pacific J. Math.
, vol.8
, pp. 411-414
-
-
Gaddum, J.W.1
-
45
-
-
2442543343
-
Stability and instability matrices for linear evolution variational inequalities
-
D. GOELEVEN AND B. BROGLIATO, Stability and instability matrices for linear evolution variational inequalities, IEEE Trans. Automat. Control, 49 (2004), pp. 521-534.
-
(2004)
IEEE Trans. Automat. Control
, vol.49
, pp. 521-534
-
-
Goeleven, D.1
Brogliato, B.2
-
46
-
-
73549121291
-
Critical angles in polyhedral convex cones: Numerical and statistical considerations
-
D. GOURION AND A. SEEGER, Critical angles in polyhedral convex cones: Numerical and statistical considerations, Math. Program., 123 (2010), pp. 173-198.
-
(2010)
Math. Program.
, vol.123
, pp. 173-198
-
-
Gourion, D.1
Seeger, A.2
-
47
-
-
77956554596
-
Deterministic and random methods for computing volumetric moduli of convex cones
-
to appear
-
D. GOURION AND A. SEEGER, Deterministic and random methods for computing volumetric moduli of convex cones, Comput. Appl. Math., 29 (2010), to appear.
-
(2010)
Comput. Appl. Math.
, vol.29
-
-
Gourion, D.1
Seeger, A.2
-
48
-
-
0003258511
-
On copositive matrices
-
K. P. HADELER, On copositive matrices, Linear Algebra Appl., 49 (1983), pp. 79-89.
-
(1983)
Linear Algebra Appl.
, vol.49
, pp. 79-89
-
-
Hadeler, K.P.1
-
50
-
-
0000606957
-
Copositive and completely positive quadratic forms
-
M. HALL AND M. NEWMAN, Copositive and completely positive quadratic forms, Proc. Cambridge Philos. Soc., 59 (1963), pp. 329-339.
-
(1963)
Proc. Cambridge Philos. Soc.
, vol.59
, pp. 329-339
-
-
Hall, M.1
Newman, M.2
-
51
-
-
48749139631
-
Conjugate cone characterization of positive definite and semidefinite matrices
-
S. P. Han AND O. L. MANGASARIAN, Conjugate cone characterization of positive definite and semidefinite matrices, Linear Algebra Appl., 56 (1984), pp. 89-103.
-
(1984)
Linear Algebra Appl.
, vol.56
, pp. 89-103
-
-
Han, S.P.1
Mangasarian, O.L.2
-
55
-
-
10444244660
-
On copositive matrices with-10, 1 entries
-
A. J. HOFFMAN AND F. PEREIRA, On copositive matrices with-1, 0, 1 entries, J.Combin. Theory Ser. A., 14 (1973), pp. 302-309.
-
(1973)
J.Combin. Theory Ser. A.
, vol.14
, pp. 302-309
-
-
Hoffman, A.J.1
Pereira, F.2
-
57
-
-
38849207529
-
Linear-Time Algorithm for Verifying the Copositivity of an Acyclic Matrix
-
K. D. IKRAMOV, An algorithm, linear with respect to time, for verifying the copositivity of an acyclic matrix, Comput. Math. Math. Phys., 42 (2002), pp. 1701-1703. (Pubitemid 36137070)
-
(2002)
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
, vol.42
, Issue.12
, pp. 1701-1703
-
-
Ikramov, K.D.1
-
58
-
-
10444271520
-
Conditionally definite matrices
-
K. D. IKRAMOV AND N. V. SAVEL'EVA Conditionally definite matrices, J. Math. Sci., 98 (2000), pp. 1-50.
-
(2000)
J. Math. Sci.
, vol.98
, pp. 1-50
-
-
Ikramov, K.D.1
Savel'Eva, N.V.2
-
59
-
-
33645699341
-
Axiomatization of the index of pointedness for closed convex cones
-
A. IUSEM AND A. SEEGER, Axiomatization of the index of pointedness for closed convex cones, Comput. Appl. Math., 24 (2005), pp. 245-283.
-
(2005)
Comput. Appl. Math.
, vol.24
, pp. 245-283
-
-
Iusem, A.1
Seeger, A.2
-
60
-
-
27244437220
-
On pairs of vectors achieving the maximal angle of a convex cone
-
DOI 10.1007/s10107-005-0626-z
-
A. IUSEM AND A. SEEGER, On pairs of vectors achieving the maximal angle of a convex cone, Math. Program., 104 (2005), pp. 501-523. (Pubitemid 41521386)
-
(2005)
Mathematical Programming
, vol.104
, Issue.2-3
, pp. 501-523
-
-
Iusem, A.1
Seeger, A.2
-
61
-
-
33645656211
-
Measuring the degree of pointedness of a closed convex cone: A metric approach
-
DOI 10.1002/mana.200310380
-
A. IUSEM AND A. SEEGER, Measuring the degree of pointedness of a closed convex cone: A metric approach, Math. Nachr., 279 (2006), pp. 599-618. (Pubitemid 43535584)
-
(2006)
Mathematische Nachrichten
, vol.279
, Issue.5-6
, pp. 599-618
-
-
Iusem, A.1
Seeger, A.2
-
62
-
-
34547841346
-
Angular analysis of two classes of non-polyhedral convex cones: The point of view of optimization theory
-
A. IUSEM AND A. SEEGER, Angular analysis of two classes of non-polyhedral convex cones: The point of view of optimization theory, Comput. Appl. Math., 26 (2007), pp. 191-214.
-
(2007)
Comput. Appl. Math.
, vol.26
, pp. 191-214
-
-
Iusem, A.1
Seeger, A.2
-
63
-
-
33845882743
-
On convex cones with infinitely many critical angles
-
A. IUSEM AND A. SEEGER, On convex cones with infinitely many critical angles, Optimization, 56 (2007), pp. 115-128.
-
(2007)
Optimization
, vol.56
, pp. 115-128
-
-
Iusem, A.1
Seeger, A.2
-
64
-
-
34548814994
-
Normality and modulability indices. Part I: Convex cones in normed spaces
-
A. IUSEM AND A. SEEGER, Normality and modulability indices. Part I: Convex cones in normed spaces, J. Math. Anal. Appl., 338 (2008), pp . 365-391.
-
(2008)
J. Math. Anal. Appl.
, vol.338
, pp. 365-391
-
-
Iusem, A.1
Seeger, A.2
-
65
-
-
65249090727
-
Searching for critical angles in a convex cone
-
A. IUSEM AND A. SEEGER, Searching for critical angles in a convex cone, Math. Program., 120 (2009), pp. 3-25.
-
(2009)
Math. Program.
, vol.120
, pp. 3-25
-
-
Iusem, A.1
Seeger, A.2
-
66
-
-
0141947815
-
A generalization of Finsler's theorem for quadratic inequalities and equalities
-
D. H. JACOBSON, A generalization of Finsler's theorem for quadratic inequalities and equalities, Quaestiones Math., 1 (1976), pp. 19-28.
-
(1976)
Quaestiones Math.
, vol.1
, pp. 19-28
-
-
Jacobson, D.H.1
-
68
-
-
10444237369
-
Spectral theory of coposi tive matrices
-
C. R. JOHNSON AND R. REAMS, Spectral theory of coposi tive matrices, Linear Algebra Appl., 395 (2005), pp. 275-281.
-
(2005)
Linear Algebra Appl.
, vol.395
, pp. 275-281
-
-
Johnson, C.R.1
Reams, R.2
-
69
-
-
38749132477
-
Constructing copositive matrices from interior matrices
-
C. R. JOHNSON AND R. REAMS, Constructing copositive matrices from interior matrices, Electron. J. Linear Algebra, 17 (2008), pp. 9-20.
-
(2008)
Electron. J. Linear Algebra
, vol.17
, pp. 9-20
-
-
Johnson, C.R.1
Reams, R.2
-
70
-
-
79952945264
-
A note on the Talman, Van der Heyden linear complementarity algorithm
-
P. C. JONES, A note on the Talman, Van der Heyden linear complementarity algorithm, Math. Programming, 25 (1983), pp. 122-124.
-
(1983)
Math. Programming
, vol.25
, pp. 122-124
-
-
Jones, P.C.1
-
71
-
-
42149123694
-
On the solution of the symmetric eigenvalue complementarity problem by the spectral projected gradient algorithm
-
J. J. JÚDICE, M. RAYDAN, S. S. ROSA, AND A. A. SANTOS, On the solution of the symmetric eigenvalue complementarity problem by the spectral projected gradient algorithm, Numer. Algorithms, 47 (2008), pp. 391-407.
-
(2008)
Numer. Algorithms
, vol.47
, pp. 391-407
-
-
Júdice, J.J.1
Raydan, M.2
Rosa, S.S.3
Santos, A.A.4
-
72
-
-
34248209655
-
The eigenvalue complementarity problem
-
DOI 10.1007/s10589-007-9017-0
-
J. J. JÚDICE, H. D. SHERALI, AND I. M. RIBEIRO, The eigenvalue complementarity problem, Comput. Optim. Appl., 37 (2007), pp. 139-156. (Pubitemid 46709792)
-
(2007)
Computational Optimization and Applications
, vol.37
, Issue.2
, pp. 139-156
-
-
Judice, J.J.1
Sherali, H.D.2
Ribeiro, I.M.3
-
73
-
-
0023452095
-
Some NP-complete problems in quadratic and nonlinear programming
-
S. N. KABADI AND K. G. M RTY, Some NP-complete problems in quadratic and nonlinear programming, Math. Programming, 39 (1987), pp. 117-129.
-
(1987)
Math. Programming
, vol.39
, pp. 117-129
-
-
Kabadi, S.N.1
Rty, K.G.M.2
-
74
-
-
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
-
75
-
-
0035501550
-
A copositive probe
-
W. KAPLAN, A copositive probe, Linear Algebra Appl., 337 (2001), pp. 237-251.
-
(2001)
Linear Algebra Appl.
, vol.337
, pp. 237-251
-
-
Kaplan, W.1
-
76
-
-
0036433723
-
Approximation of the stability number of a graph via copositive programming
-
E. DE KLERK AND D. V. PASECHNIK, Approximation of the stability number of a graph via copositive programming, SIAM J. Optim., 12 (2002), pp. 875-892.
-
(2002)
SIAM J. Optim.
, vol.12
, pp. 875-892
-
-
De Klerk, E.1
Pasechnik, D.V.2
-
77
-
-
33845294388
-
A linear programming reformulation of the standard quadratic optimization problem
-
DOI 10.1007/s10898-006-9037-9
-
E. DE KLERK AND D. V. PASECHNIK, A linear program ming reformulation of the standard quadratic optimization problem, J. Global Optim., 37 (2007), pp. 75-84. (Pubitemid 44876768)
-
(2007)
Journal of Global Optimization
, vol.37
, Issue.1
, pp. 75-84
-
-
De Klerk, E.1
Pasechnik, D.V.2
-
78
-
-
0030211377
-
On Hadamard stability for compressible viscoelastic constitutive equations
-
PII S0377025796014577
-
Y. KwON, On Hadamard stability for compressible viscoelastic constitutive equations, J. Non-Newtonian Fluid Mech., 65 (1996), pp. 151-163. (Pubitemid 126394849)
-
(1996)
Journal of Non-Newtonian Fluid Mechanics
, vol.65
, Issue.2-3
, pp. 151-163
-
-
Kwon, Y.1
-
79
-
-
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
-
80
-
-
43949162969
-
Criteria for copositive matrices of order four
-
P. LI AND Y. Y. Feng, Criteria for copositive matrices of order four, Linear Algebra Appl., 194 (1993), pp. 109-124.
-
(1993)
Linear Algebra Appl.
, vol.194
, pp. 109-124
-
-
Li, P.1
Feng, Y.Y.2
-
81
-
-
0016470698
-
Positive operators on the n-dimensional ice cream cone
-
R. LOEWY AND H. SCHNEIDER, Positive operators on the n-dimensional ice cream cone, J. Math. Anal. Appl., 49 (1975), pp. 375-392.
-
(1975)
J. Math. Anal. Appl.
, vol.49
, pp. 375-392
-
-
Loewy, R.1
Schneider, H.2
-
82
-
-
3042895560
-
Finite criteria for conditional definiteness of quadratic forms
-
D. H. MARTIN, Finite criteria for conditional definiteness of quadratic forms, Linear Algebra Appl., 39 (1981), pp. 9-21.
-
(1981)
Linear Algebra Appl.
, vol.39
, pp. 9-21
-
-
Martin, D.H.1
-
83
-
-
0010315920
-
Copositive matrices and definiteness of quadratic forms subject to homogeneous linear inequality constraints
-
D. H. MARTIN AND D. H. JACOBSON, Copositive matrices and definiteness of quadratic forms subject to homogeneous linear inequality constraints, Linear Algebra Appl., 35 (1981), pp. 227-258.
-
(1981)
Linear Algebra Appl.
, vol.35
, pp. 227-258
-
-
Martin, D.H.1
Jacobson, D.H.2
-
84
-
-
0009346389
-
Some remarks on nonnegative polynomials on polyhedra
-
(papers in honor of S. Karlin), Academic Press, Boston
-
C. A. MICCHELLI AND A. PINK S, Some remarks on nonnegative polynomials on polyhedra, in Probability, Statistics, and Mathematics (papers in honor of S. Karlin), Academic Press, Boston, 1989, pp. 163-186.
-
(1989)
Probability, Statistics, and Mathematics
, pp. 163-186
-
-
Micchelli, C.A.1
Pink, S.A.2
-
85
-
-
0001650577
-
Décomposition orthogonale d'un espace hilbertien selon deux cônes mutuellement polaires
-
J.-J. MOREAU, Décomposition orthogonale d'un espace hilbertien selon deux cônes mutuellement polaires, C. R. Acad. Sci. Paris, 255 (1962), pp . 238-240.
-
(1962)
C. R. Acad. Sci. Paris
, vol.255
, pp. 238-240
-
-
Moreau, J.-J.1
-
87
-
-
0041399934
-
-
Inequalities, O. Sh isa, ed., Academic Press, New York
-
T. S. MOTZKIN, Signs of minors, in Inequalities, O. Sh isa, ed., Academic Press, New York, 1967, pp. 225-240.
-
(1967)
Signs of Minors
, pp. 225-240
-
-
Motzkin, T.S.1
-
89
-
-
0026905862
-
Nonnegativity of bivariate quadratic functions on a triangle
-
E. NADLER, Nonnegativity of bivariate quadratic functions on a triangle, Comput. Aided Geom. Design, 9 (1992), pp. 195-205.
-
(1992)
Comput. Aided Geom. Design
, vol.9
, pp. 195-205
-
-
Nadler, E.1
-
90
-
-
0034442088
-
Semidefinite programming based tests for matrix copositivity
-
P. A. PARRILO, Semidefinite programming based tests for matrix copositivity, in Proceedings of the 39th IEEE Conference on Decision and Contr ol, Sydney, 2000, pp. 4624-4629. (Pubitemid 32528006)
-
(2000)
Proceedings of the IEEE Conference on Decision and Control
, vol.5
, pp. 4624-4629
-
-
Parrilo, P.A.1
-
91
-
-
77249135266
-
Cone-constrained eigenvalue problems: Theory and algorithms
-
A. PINTO DA COSTA AND A. SEEGER, Cone-constrained eigenvalue problems: Theory and algorithms, Comput. Optim. Appl., 45 (2010), pp. 25-57.
-
(2010)
Comput. Optim. Appl.
, vol.45
, pp. 25-57
-
-
Pinto Da Costa, A.1
Seeger, A.2
-
92
-
-
69049118364
-
Numerical resolu tion of cone-constrained eigenvalue problems
-
A. PINTO DA COSTA AND A. SEEGER, Numerical resolu tion of cone-constrained eigenvalue problems, Comput. Appl. Math., 28 (2009), pp. 37-61.
-
(2009)
Comput. Appl. Math.
, vol.28
, pp. 37-61
-
-
Pinto Da Costa, A.1
Seeger, A.2
-
93
-
-
39449117440
-
A copositive programming approach to graph partitioning
-
DOI 10.1137/050637467
-
J. POVH AND F. RENDL, A copositive programming approach to graph partitioning, S\AMJ. Optim., 18 (2007), pp. 223-241. (Pubitemid 351271329)
-
(2007)
SIAM Journal on Optimization
, vol.18
, Issue.1
, pp. 223-241
-
-
Povh, J.1
Rendl, F.2
-
94
-
-
34548491396
-
A survey of the S-lemma
-
DOI 10.1137/S003614450444614X
-
I. PÓLIK AND T. TERLAKY, A survey of the S-lemma, SIAM Rev., 49 (2007), pp. 371-418. (Pubitemid 47377690)
-
(2007)
SIAM Review
, vol.49
, Issue.3
, pp. 371-418
-
-
Polik, I.1
Terlaky, T.2
-
95
-
-
5644293283
-
The symmetric eigenvalue complementarity problem
-
DOI 10.1090/S0025-5718-03-01614-4
-
m. queiroz, j. júdice, and c. humes, The symmetric eigenvalue complementarity problem, Math. Comp., 73 (2004), pp. 1849-1863. (Pubitemid 39374841)
-
(2004)
Mathematics of Computation
, vol.73
, Issue.248
, pp. 1849-1863
-
-
Queiroz, M.1
Judice, J.2
Humes Jr., C.3
-
96
-
-
0031674391
-
Copositive relaxation for general quadratic programming
-
a. j. quist, e. De klerk, c. roos, and t. terlaky, Copositive relaxation for general quadratic programming, Optim. Methods Softw., 9 ( 1998), pp. 185-208. (Pubitemid 128542196)
-
(1998)
Optimization Methods and Software
, vol.9
, Issue.1-3
, pp. 185-208
-
-
Quist, A.J.1
De Klerk, E.2
Roos, C.3
Terlaky, T.4
-
97
-
-
0033416342
-
Eigenvalue analysis of equilibrium processes defined by linear complementarity conditions
-
PII S002437959900004X
-
a. seeger, Eigenvalue analysis of equilibrium processes defined by linear complementarity conditions, Linear Algebra Appl., 292 (1999), pp. 1-14. (Pubitemid 129563051)
-
(1999)
Linear Algebra and Its Applications
, vol.292
, Issue.1-3
, pp. 1-14
-
-
Seeger, A.1
-
98
-
-
0142167593
-
On eigenvalues induced by a cone-constraint
-
a. seeger and m. torki, On eigenvalues induced by a cone-constraint, Linear Algebra Appl., 372 (2003), pp. 181-206.
-
(2003)
Linear Algebra Appl.
, vol.372
, pp. 181-206
-
-
Seeger, A.1
Torki, M.2
-
99
-
-
64249153666
-
Local minima of quadratic forms on convex cones
-
a. seeger and m. torki, Local minima of quadratic forms on convex cones, J. Global Optim., 44, (2009), pp. 1-28.
-
(2009)
J. Global Optim.
, vol.44
, pp. 1-28
-
-
Seeger, A.1
Torki, M.2
-
100
-
-
0020905805
-
ON COPOSITIVE MATRICES AND STRONG ELLIPTICITY FOR ISOTROPIC ELASTIC MATERIALS.
-
h. c. simpson and s. j. spector, On copositive matrices and strong ellipticity for isotropic elastic materials, Arch. Rational Mech. Anal., 84 (1983), pp. 55-68. (Pubitemid 14504026)
-
(1983)
Archive for Rational Mechanics and Analysis
, vol.84
, Issue.1
, pp. 55-68
-
-
Simpson, H.C.1
Spector, S.J.2
-
101
-
-
0002126665
-
Criteria for copositive matrices
-
h. väliaho, Criteria for copositive matrices, Linear Algebra Appl., 81 (1986), pp. 19-34.
-
(1986)
Linear Algebra Appl.
, vol.81
, pp. 19-34
-
-
Väliaho, H.1
-
102
-
-
0010359916
-
Testing the definiteness of matrices on polyhedral cones
-
h. väliaho, Testing the definiteness of matrices on polyhedral cones, Linear Algebra Appl., 101 (1988), pp. 135-165.
-
(1988)
Linear Algebra Appl.
, vol.101
, pp. 135-165
-
-
Väliaho, H.1
-
103
-
-
0002182464
-
S-Procedure in nonlinear control theory
-
v. a. yakubovich, S-Procedure in nonlinear control theory, Vestnik Leningrad. Univ., 1 (1971), pp. 62-77.
-
(1971)
Vestnik Leningrad. Univ.
, vol.1
, pp. 62-77
-
-
Yakubovich, V.A.1
-
104
-
-
0002765829
-
On a subproblem of trust region algorithms for constrained optimization
-
y. 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.1
|