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Publications

Last update: 16 August 2017

Here you can find an alphabetical list of my coauthors.

My Erdös number is 3 (via 1. A.Jagota, 2. M.Pelillo).

Published/accepted articles 1983-1990, 1991-1995, 1996-2000, 2001-2005, 2006-2010, 2011-2015, 2016-.

Reviews, surveys & encyclopedia entries, books


I. Refereed articles in journals and conference proceedings

2016-

100. The complexity of simple models - a study of worst and typical hard cases for the Standard Quadratic Optimization Problem (I.M. Bomze, W. Schachinger, R. Ullrich).
To appear in: Mathematics of Operations Research (2017).

99. Robust spherical separation (A. Astorino, I.M. Bomze, A. Fuduli, M. Gaudioso).
Optimization 66 (6), 925-938 (2017).

98. A fresh CP look at mixed-binary QPs: new formulations and relaxations
(I.M. Bomze, J. Chen, P.J.C. Dickinson, A. Lisser). To appear in: Math. Programming (2017).
doi:10.1007/s10107-017-1109-8 (21 Jan 2017)

97. Copositivity for second-order optimality conditions in general smooth optimization problems (I. Bomze). Optimization 65 (4), 779-795 (2016).

2011-2015

96. Copositive relaxation beats Lagrangian dual bounds in quadratically and linearly constrained QPs (I. Bomze). SIAM J. Optimization 25 (3), 1249–1275 (2015).

95. The structure of completely positive matrices according to their CP-rank and CP-plus-rank
(I. Bomze, P.J.C. Dickinson, G. Still). Linear Algebra and its Applications 482, 191-206 (2015).

94. Copositivity-based approximations for mixed-integer fractional quadratic optimization
(P.A. Amaral, I.M. Bomze). Pacific Journal of Optimization 11 (2), 225-238 (2015).

93. Narrowing the difficulty gap for the Celis-Dennis-Tapia problem
(I. Bomze, M. Overton). Math. Programming 151 (2), 459-476 (2015).

92. New lower bounds and asymptotics for the cp-rank
(I. Bomze, W. Schachinger, R. Ullrich).
SIAM Journal on Matrix Analysis and Applications 36 (1), 20-37 (2015).

91. New results on the cp rank and related properties of co(mpletely )positive matrices
(N. Shaked-Monderer, A. Berman, I. Bomze, F. Jarre, W. Schachinger).
Linear and Multilinear Algebra 63 (2), 384-396 (2015).

90. From seven to eleven: completely positive matrices with high cp-rank
(I.M. Bomze, W. Schachinger, R. Ullrich).
Linear Algebra and its Applications 459, 208-221 (2014).

89. Rounding on the standard simplex: regular grids for global optimization
(I. Bomze, S. Gollowitzer, E.A. Yildirim).
J. Global Optimization 59 (2-3), 243-258 (2014) Best paper award.

88. Copositivity and constrained fractional quadratic problems
(P. Amaral, I. Bomze, J. Judice). Mathematical Programming 146, 325-350 (2014).

87. Constraint Selection in a Build-Up Interior-Point Cutting-Plane Method for Solving Relaxations of the Stable-Set Problem (A. Engau, M.F. Anjos, I. Bomze).
Mathematical Methods of Operations Research 78, 35-59 (2013).

86. On the cp-rank and minimal cp factorizations of a completely positive matrix
(N. Shaked-Monderer, I. Bomze, F. Jarre, W. Schachinger).
SIAM Journal on Matrix Analysis and Applications 34, 355–368 (2013).

85. Copositivity detection by difference-of-convex decomposition and ω-subdivision
(I. Bomze, G. Eichfelder). Math. Programming 138, 365-400 (2013).

84. Two spherical separation procedures via non-smooth convex optimization
(A. Astorino, I.M. Bomze, M.P. Brito, M. Gaudioso). In: V. de Simone, D. di Serafino, and G. Toraldo (eds.), Recent advances in nonlinear optimization and equilibrium problems: a tribute to Marco D'Apuzzo, Quaderni di Matematica, Dipartimento di Matematica, Seconda Università degli Studi di Napoli, Vol. 27, Aracne, ISBN 978-88-548-5687-5 (2012).

83. Unconstrained formulation of standard quadratic optimization problems
(I. Bomze, L. Grippo, L. Palagi). TOP 20, 35-51 (2012).

82. Separable standard quadratic optimization problems
(I. Bomze, M. Locatelli). Optimization Letters 6, 857-866 (2012).

81. Standard bi-quadratic optimization problems and unconstrained polynomial reformulations
(I. Bomze, Ch. Ling, L. Qi, X. Zhang). Journal of Global Optimization 52, 663–687 (2012).

80. Think co(mpletely)positive ! Matrix properties, examples and a clustered bibliography on copositive optimization (I. Bomze, W. Schachinger, G. Uchida).
Journal of Global Optimization 52 (Special issue in memory of Professor Reiner Horst), 423-445 (2012).

79. Copositive optimization - recent developments and applications (I. Bomze).
European Journal of Operational Research 216, 509-520 (2012).

78. A first-order interior-point method for linearly constrained smooth optimization
(P. Tseng, I. Bomze, W. Schachinger). Mathematical Programming 127, 399-424 (2011).

77. Quadratic factorization heuristics for copositive programming
(I. Bomze, F. Jarre, F. Rendl). Mathematical Programming Computation 3, 37-57 (2011).

76. Graph-Based Quadratic Optimization: A Fast Evolutionary Approach (S. Rota-Bulò, M. Pelillo, I. Bomze). Computer Vision and Image Understanding 115, 984-995 (2011).

75. Infection and immunization: a new class of evolutionary game dynamics
(S. Rota-Bulò, I. Bomze). Games and Economic Behavior 71
(special issue in honor of J.F.Nash, jr.), 193-211 (2011).

2006-2010

74. Solving two-stage stochastic Steiner tree problems by two-stage branch-and-cut.
(I. Bomze, M. Chimani, M. Jünger, I. Ljubic, P. Mutzel, B. Zey ). In:  O. Cheong, K.-Y. Chwa, and K. Park (eds.), ISAAC 2010, Part I, Lecture Notes in Computer Science 6506, pp. 427-439. Springer, Heidelberg (2010).

73. Fast population game dynamics for dominant sets and other quadratic optimization problems
(S. Rota-Bulò, M. Pelillo, I. Bomze). In:  E.R. Hancock, R.C. Wilson, T. Windeatt, I. Ulusoy, and F. Escolano (eds.), Structural, Syntactic, and Statistical Pattern Recognition, SSPR&SPR 2010, Lecture Notes in Computer Science 6218, pp. 275-285. Springer, Heidelberg (2010).

72. Necessary conditions for local optimality in difference-of-convex  programming
( I. Bomze, C. Lemaréchal). J. Convex Analysis 17, 673-680 (2010).

71. A note on Burer's copositive representation of mixed-binary QPs (I. Bomze, F. Jarre).
Optimization Letters 4, 465-472 (2010).

70. Gap, cosum, and product properties of the $\theta'$ bound on the clique number
(I. Bomze, F. Frommlet, M. Locatelli). Optimization 59, 1041-1051 (2010).

69. Copositivity cuts for improving SDP bounds on the clique number
(I. Bomze, F. Frommlet, M. Locatelli). Mathematical Programming 124, 13-32 (2010).

68. Multi-Standard Quadratic optimization problems: interior point methods and cone programming reformulation (I. Bomze, W. Schachinger).
Computational Optimization and Applications 45, 237-256 (2010).

67. A conic duality Frank-Wolfe type theorem via exact penalization in
quadratic optimization (W. Schachinger, I. Bomze). Mathematics of Operations Research 34, 83-91 (2009).

66. A new approach to exact crossing minimization (M. Chimani, P. Mutzel, I. Bomze). In: D. Halperin, K. Mehlhorn (eds.), Algorithms ESA 2008, pp. 284--296.
Lecture Notes in Computer Science  5193, Springer, Berlin (2008).

65. One-third rules with equality: second-order evolutionary stability conditions in finite populations (I. Bomze, C. Pawlowitsch). J. theo. Biol. 254, 616-620 (2008).

64. Perron-Frobenius property of copositive matrices, and a block copositivity criterion
(I. Bomze). Linear Algebra and its Applications 429,  68-71 (2008).

63. New and old bounds for standard quadratic optimization:
dominance, equivalence and incomparability (I. Bomze, M. Locatelli, F. Tardella).
Math. Programming 115, 31-64 (2008).

62. New results for molecular formation under pairwise potential minimization
(W. Schachinger, B. Addis, I. Bomze, F. Schoen).
Computational Optimization and Applications 38, 329-349 (2007).

61. Improved SDP bounds for minimizing quadratic functions over the l¹-ball
(I. Bomze, F. Frommlet, M. Rubey). Optimization Letters 1, 49-59 (2007).

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2001-2005

60. Quartic formulation of standard quadratic optimization problems (I. Bomze, L. Palagi).
Journal of Global Optimization 32, 181 - 205 (2005).

59. Portfolio selection via replicator dynamics and projections of indefinite estimated covariances. (I. Bomze). Dynamics of Continuous, Discrete and Impulsive Systems B 12, 527-564 (2005).

58. Optimization of functions with rank-two variation over a box (I. Bomze).
European Journal of Operational Research 161, 598-617 (2005).

57. The combinatorics of pivoting for the maximum weight clique (M. Locatelli, I. Bomze, M. Pelillo). Operations Research Letters 32, 523-529 (2004).

56. Hyper sensitivity analysis of portfolio optimization problems (L. Churilov, I. Bomze, M. Sniedovich, D. Ralph). Asia Pacific Journal of Operational Research 21, 297-317 (2004).

55. Undominated d.c. decompositions of quadratic functions and applications to branch-and-bound approaches (I. Bomze, M. Locatelli). Computational Optimization and Applications 28, 227-245 (2004).

54. Ellipsoidal approach to box-constrained quadratic problems (P. de Angelis, I. Bomze, G. Toraldo). Journal of Global Optimization 28, 1-15 (2004).

53. On the structure of undominated statistical experiments: sufficiency, invariance, and optimality in unbiased estimation (extended abstract) ( I. Bomze). Tatra Mountain Math. Publication 26, 1-13 (2003).

52. Regularity versus degeneracy in dynamics, games, and optimization: a unified approach to different aspects ( I. Bomze). SIAM Review 44, 394-414 (2002). Comment: TR-ISDS 2007-07.

51. Solving standard quadratic optimization problems via linear, semidefinite and copositive programming (I. Bomze, E.de Klerk). Journal of Global Optimization 24, 163-185 (2002).

50. Annealed replication: A new heuristic for the maximum clique problem (I. Bomze, M. Budinich, M. Pelillo, C. Rossi). Discrete Appl. Math. 121, 27-49 (2002).

49. A complementary pivoting approach to the maximum weight clique problem (A. Massaro, M. Pelillo, I. Bomze). SIAM J. Optimization 12, 928-948 (2002).

48. Branch-and-Bound Approaches to Standard Quadratic Optimization Problems ( I. Bomze).
Journal of Global Optimization 22, 17-37 (2002).

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1996-2000

47. On copositive programming and standard quadratic optimization problems (I. Bomze, M. Dür, E. de Klerk, A. Quist, C. Roos, T. Terlaky). Journal of Global Optimization 18, 301-320 (2000).

46. Approximating the maximum weight clique using replicator dynamics (I. Bomze, M. Pelillo, V. Stix). IEEE Trans. Neural Networks 11, 1228-1241 (2000).

45. A new 'annealed' heuristic for the maximum clique problem (I. Bomze, M. Budinich, M. Pelillo, C. Rossi). In: P.M. Pardalos (ed.), Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems, 78-96. Kluwer, Dordrecht (2000).

44. Copositivity aspects of standard quadratic optimization problems. In: E. Dockner, R. Hartl, M. Luptacik, G. Sorger (eds.), Dynamics, optimization and economic analysis, Festschrift f. G. Feichtinger pp. 1-11. Physica, Heidelberg (2000).

43. Linear-time detection of copositivity for tridiagonal matrices and extension to block-tridiagonality. SIAM J. Matrix Anal. Appl. 21, 840 - 848 (2000).

42. Genetic engineering via negative fitness: evolutionary dynamics for global optimization (I. Bomze, V. Stix). Annals of OR 89, 297-318 (1999).

41. Replicator dynamics for the evolution towards the maximum clique: variants and experiments (I. Bomze, F. Rendl). In: R. De Leone, A. Murli, P. M. Pardalos, G. Toraldo (eds.),
High Performance Algorithms and Software in Nonlinear Optimization, 53-67. Kluwer, Dordrecht (1998).

40. On standard quadratic optimization problems. Journal of Global Optimization 13, 369-387 (1998). Comment on terminology

39. Uniform barriers and evolutionarily stable sets.
In: W. Leinfellner, E. Köhler(eds.), Game Theory, Experience, Rationality, pp. 225-244. Kluwer, Dordrecht (1998).

38. Global escape strategies for maximizing quadratic forms over a simplex.
Journal of Global Optimization 11, 325-338 (1997).

37. Evolution towards the maximum clique.
Journal of Global Optimization 10, 143-164 (1997). Comment on terminology

36. Evolutive versus Naive Bayesian Learning (I. Bomze, J. Eichberger). In: C. Bicchieri, R. Jeffrey, B. Skyrms (eds.),
The Dynamics of Norms. Cambridge Studies in Probability, Induction and Decision Theory, pp. 109-130, Cambridge University Press (1997).

35. Evolutionary approach to the maximum clique problem: empirical evidence on a larger scale (I. Bomze, M. Pelillo, R. Giacomini).
In: I. Bomze, T. Csendes, R. Horst, P. M. Pardalos (eds.),
Developments in Global Optimization, pp. 95-108. Kluwer, Dordrecht (1997).

34. Block pivoting and shortcut strategies for detecting copositivity.
Linear Algebra and its Applications 248, 161-184 (1996).

33. Parallelizable evolutionary dynamics principles for
solving the maximum clique problem (M. Pelillo, I. Bomze).
In: H.-M. Voigt, W. Ebeling, I. Rechenberg, H.-P. Schwefel (eds.),
Parallel Problem Solving from Nature - PPSNIV, pp. 676-685. Springer, Berlin (1996).

32. Stationary distributions under mutation-selection balance: structure and properties
( R. Bürger, I. Bomze). Adv. Appl. Prob. 28, 227-251 (1996).

31. Evolutionary stability is not a foolish game.
Central Eur. J. O.R.Econ. 4, 26-56 (1996).

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1991-1995

30. Does neutral stability imply Lyapunov stability? (I. Bomze, J. Weibull).
Games and Economic Behaviour 11, 173-192 (1995).

29. Estimating qualification in a self-evaluating group (W. Gutjahr, I. Bomze).
Quality and Quantity 29, 241-250 (1995).

28. Checking positive-definiteness by three statements.
Int. J. Math. Educ. Sci. Technol. 26, 289-294 (1995).

27. Stability by mutation in evolutionary games (I. Bomze, R. Bürger).
Games and Economic Behaviour 11, 146-172 (1995).

26. Lotka-Volterra equation and replicator dynamics: new issues in classification.
Biol. Cybernetics 72, 447-453 (1995).

25. The dynamics of self-evaluation (I. Bomze, W. Gutjahr).
Applied Math. and Computation 64, 47-63 (1994).

24. Generalizing convexity for second-order optimality conditions (G. Danninger, I. Bomze).
In: S. Komlósi, T. Rapcsák, S. Schaible (eds.), Generalized Convexity, pp. 137-144. Springer, Berlin (1994).

23. A finite algorithm for solving general quadratic problems (I. Bomze, G. Danninger).
Journal of Global Optimization 4, 1-16 (1994).

22. On the balance between mutation and frequency-dependent selection in evolutionary game dynamics (I. Bomze, R. Bürger).
In: Ph. Clement, G. Lumer (eds.), Proc. 3rd Intern. Work-shop/Conf. on Evolution Equations, Control Theory and Biomathematics, pp. 11-23.
Marcel Dekker , New York (1994).

21. A global optimization algorithm for concave quadratic problems (I. Bomze, G. Danninger).
SIAM J. Optimization 3, 836-842 (1993).

20. Behaviour of the length test for medium sample sizes (R. Dittrich, E. Reschenhofer,
I. Bomze
). Commun. Statistics: Theory and Methods 22, 2517-2525 (1993).

19. Using copositivity for global optimality criteria in concave quadratic programming problems (G. Danninger, I. Bomze).
Math. Programming 62, 575-580 (1993).

18. A dynamical characterization of evolutionarily stable states. (I. Bomze, E. van Damme).
Annals of OR 37, 229-244 (1992).

17. Detecting all evolutionarily stable strategies. J. Optimization Theory Appl. 75, 313-329 (1992).

16. Copositivity conditions for global optimality in indefinite quadratic programming problems.
Czechoslovak J. Operations Research 1, 7-19 (1992).

15. Testing for white noise against multimodal spectral alternatives (E. Reschenhofer, I. Bomze).
J. Time Series Analysis 13, 435-439 (1992).

14. Amendments and Corrections (E. Reschenhofer, I. Bomze).
Biometrika 79, 859 (1992).

13. Length tests for goodness-of-fit (E. Reschenhofer, I. Bomze).
Biometrika 78, 207-216 (1991).

12. Cross entropy minimization in uninvadable states of complex populations.
J. math. Biol. 30, 73-87 (1991).

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1983-1990

11. Dynamical aspects of evolutionary stability.
Monatsh. Math. 110, 189-206 (1990).

10. Copositivity and optimization.
In: P. Kleinschmidt, F.J. Radermacher (eds.), Proc. 12th SOR (Methods in OR 58), pp. 27-35.
Athen¨um, Frankfurt/Main (1989)

9. A note on aspirations in non-transferable utility games.
Int. J. Game Theory 17, 193-200 (1988).

8. Remarks on the recursive structure of copositivity.
J. Inf. & Optimiz. Sciences 8, 243-260 (1987).

7. Non-cooperative two-person games in biology: a classification.
Int. J. Game Theory 15, 31-57 (1986).

6. Suffizienz, Invarianz und Optimalität in undominierten statistischen Experimenten II.
Sitzungsber. Österr. Akad. Wiss., Abt.II, 195, 517-568 (1986).

5. Suffizienz, Invarianz und Optimalität in undominierten statistischen Experimenten I.
Sitzungsber. Österr. Akad.
Wiss., Abt.II, 195, 349-403 (1986).

4. Measurable supports, reducible spaces and the structure of the optimal sigma-field in unbiased estimation.
Monatsh. Math. 101, 27-38 (1986).

3. Jensen-Ungleichung in Banach-Räumen: ein kurzer Beweis.
Anz. Österr. Akad. Wiss., math.-naturw.
Kl. 121, 67-68 (1984).

2. Lotka-Volterra equation and replicator dynamics: a two-dimensional classification.
Biol. Cybern. 48, 201-211 (1983).

1. The role of Mendelian genetics in strategic models on animal behaviour ( I. Bomze, P. Schuster, K. Sigmund).
J. theor. Biol. 101, 19-38 (1983).

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II. Reviews, surveys & encyclopedia entries

8. Forty years of the European Journal of Operational Research: A bibliometric overview
(S. Laengle, J.M. Merigó, J. Miranda, R. Słowiński, I. Bomze, E. Borgonovo, R.G. Dyson,
J.F. Oliveira, R. Teunter
).
European Journal of Operational Research 262 (3), 803-816 (2017).

7. Copositive Optimization (I. Bomze, M. Dür, C.P. Teo).
Optima 89, 2-10 (2012).

6. Copositive Optimization. In: C.A. Floudas, P.M. Pardalos (eds.),
Encyclopedia of Optimization (2nd ed.),  561-564. Springer, New York (2009).

5. Standard Quadratic Optimization Problems: Algorithms.
In: C.A. Floudas, P.M. Pardalos (eds.),
Encyclopedia of Optimization (2nd ed.), 3688-3690. Springer, New York (2009).

4. Standard Quadratic Optimization Problems: Applications.
In: C.A. Floudas, P.M. Pardalos (eds.),
Encyclopedia of Optimization (2nd ed.), 3690-3692. Springer, New York (2009).

3. Standard Quadratic Optimization Problems: Theory.
In: C.A. Floudas, P.M. Pardalos (eds.),
Encyclopedia of Optimization (2nd ed.), 3692-3693. Springer, New York (2009).

2. The maximum clique problem (I. Bomze, M. Budinich, P. Pardalos, M. Pelillo),
In: D.-Z. Du, P.M. Pardalos (eds.),
Handbook of Combinatorial Optimization (supp. Vol. A), 1-74.
Kluwer, Dordrecht (1999).

1. The L-space of a statistical experiment.
In: M. Hazewinkel (ed.), Encyclopaedia of Mathematics, Supplementary
Vol. 1, pp. 345-346. Kluwer, Dordrecht (1997).

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III. Books

5. Nonlinear Optimization (I. Bomze, V. Demyanov, R. Fletcher, T. Terlaky, I. Pólik;
editors: G. Di Pillo, F. Schoen
). Lecture Notes in Mathematics 1989.
Springer, New York (2010).

4. Developments in Global Optimization (I. Bomze, T. Csendes, R. Horst, P. Pardalos (eds.)).
Kluwer, Dordrecht (1997).

3. Optimierung - Theorie und Algorithmen. Eine Einführung in Operations Research für Wirtschaftsinformatiker (I. Bomze, W. Grossmann). BI-Verlag, Mannheim (1993).

2. A functional analytic approach to statistical experiments.
Pitman Research Notes in Mathematics 237. Longman, London (1990).

1. Game theoretic foundations of evolutionary stability
(I. Bomze, B. M. Pötscher).
Springer, Berlin (1989).