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1. Discrete optimization
by Parker, R. Gary and Rardin, Ronald L
1988, Computer science and scientific computing., ISBN 9780125450751, xi, 472
Mathematical optimization
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2. Theory and algorithms for linear optimization
: an interior point approach
by Roos, Cornelis, 1941 and Terlaky, Tamás and Vial, J. P
1997, Wiley-Interscience series in discrete mathematics and optimization, ISBN 9780471956761, xxiv, 482
Linear programming | Mathematical optimization | Algorithms
Book
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3. Optimization of polynomials in non-commuting variables
by Burgdorf, Sabine and Klep, Igor and Povh, Janez
2016, SpringerBriefs in Mathematics, ISBN 9783319333380
Variables (Mathematics) | Polynomials | Mathematical optimization
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4. Moments, positive polynomials and their applications
by Lasserre, Jean-Bernard
2010, ISBN 9781848164451, xxi, 361
Book
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5. Approximation methods for polynomial optimization
: models, algorithms, and applications / Zhening Li, Simai He, Shuzhong Zhang
by Li, Zhening and He, Simai and Zhang, Shuzhong
2012, Springer briefs in optimization, ISBN 1461439841
Approximation theory | Polynomials
Web Resource
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6. Full Text Berge-acyclic multilinear 0–1 optimization problems
by Buchheim, Christoph and Crama, Yves and Rodríguez-Heck, Elisabeth
European Journal of Operational Research, ISSN 0377-2217, 02/2019, Volume 273, Issue 1, pp. 102 - 107
The problem of optimizing a multilinear polynomial in 0–1 variables arises in applications from many different areas. We are interested in resolution methods... 
Integer programming | Nonlinear programming | Standard linearization | Balanced matrix | Signed hypergraph | POLYNOMIAL PROGRAMMING-PROBLEMS | HYPERGRAPHS | VALID INEQUALITIES | ALGORITHMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | REDUCTION | POLYTOPE | MINIMIZATION | FACETS | SELECTION | Linearization (Electronics) | Analysis
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7. Full Text A feasible method for optimization with orthogonality constraints
by Wen, Zaiwen and Yin, Wotao
Mathematical Programming, ISSN 0025-5610, 12/2013, Volume 142, Issue 1, pp. 397 - 434
Minimization with orthogonality constraints (e.g., $$X^\top X = I$$ ) and/or spherical constraints (e.g., $$\Vert x\Vert _2 = 1$$ ) has wide applications in... 
Nearest correlation matrix | Invariant subspace | 65K05 | Theoretical, Mathematical and Computational Physics | Curvilinear search | Maxcut SDP | Mathematics | 90C26 | Eigenvalue and eigenvector | Quadratic assignment problem | 90C27 | Orthogonality constraint | Mathematical Methods in Physics | Cayley transformation | 90C30 | Polynomial optimization | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Stiefel manifold | Numerical Analysis | 90C22 | Spherical constraint | 49Q99 | Combinatorics | MATHEMATICS, APPLIED | ALGORITHM | DECOMPOSITION | FORMULATION | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | BARZILAI | MATRICES | RANK REDUCTION | FLOWS | SEMIDEFINITE PROGRAMS | Methods | Algorithms | Studies | Polynomials | Topological manifolds | Analysis | Optimization | Mathematical programming
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8. Full Text Diversity Management in Evolutionary Many-Objective Optimization
by Adra, S F and Fleming, P J
IEEE Transactions on Evolutionary Computation, ISSN 1089-778X, 04/2011, Volume 15, Issue 2, pp. 183 - 195
In evolutionary multiobjective optimization, the task of the optimizer is to obtain an accurate and useful approximation of the true Pareto-optimal front.... 
Measurement | Algorithm design and analysis | Diversity requirement | evolutionary multiobjective optimization | Polynomials | Delta modulation | Approximation methods | Optimization | Convergence | NSGA-II | DOMINANCE | MULTIOBJECTIVE OPTIMIZATION | PERFORMANCE | ALGORITHM | COMPUTER SCIENCE, THEORY & METHODS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Studies | Approximation | Mathematical analysis | Evolutionary | Mathematical models | Evolutionary algorithms | Management | Speciation
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9. Genericity in polynomial optimization
by Hà, Huy-Vui and Pham, Tién-Son
12/2016, ISBN 9781786342218
Book
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10. Full Text LMI Techniques for Optimization Over Polynomials in Control: A Survey
by Chesi, Graziano
IEEE Transactions on Automatic Control, ISSN 0018-9286, 11/2010, Volume 55, Issue 11, pp. 2500 - 2510
Numerous tasks in control systems involve optimization problems over polynomials, and unfortunately these problems are in general nonconvex. In order to cope... 
Uncertain systems | Stability | Control system | Lyapunov method | Nonlinear control systems | Control systems | linear matrix inequality (LMI) | Linear matrix inequalities | Matrix decomposition | optimization | polynomial | positivity | Control system synthesis | Polynomials | Nonlinear systems | LINEAR-SYSTEMS | LTI SYSTEMS | LYAPUNOV FUNCTIONS | ROBUST PERFORMANCE ANALYSIS | SUM | VERIFICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | STABILITY ANALYSIS | RELAXATIONS | GLOBAL OPTIMIZATION | SQUARES | AUTOMATION & CONTROL SYSTEMS | Liapunov functions | Usage | Matrices | Design and construction | Networks | Tasks | Genetics | Collection | Dynamical systems | Readers | Optimization
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11. Full Text GloptiPoly 3: moments, optimization and semidefinite programming
by Henrion, Didier and Lasserre, Jean-Bernard and Löfberg, Johan and Reglerteknik and Linköpings universitet and Tekniska högskolan and Institutionen för systemteknik
Optimization Methods and Software, ISSN 1055-6788, 10/2009, Volume 24, Issue 4-5, pp. 761 - 779
We describe a major update of our Matlab freeware GloptiPoly for parsing generalized problems of moments and solving them numerically with semidefinite... 
semidefinite programming | moments | polynomials | 90C22 | 90C26 | global optimization | 44A60 | Global optimization | Semidefinite programming | Moments | Polynomials | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RELAXATIONS | Mathematics | Optimization and Control | Reglerteknik | Teknik och teknologier | TEKNIKVETENSKAP | Elektroteknik och elektronik | Automatic control | Natural Sciences | Beräkningsmatematik | TECHNOLOGY | Informationsteknik | Computational Mathematics | Electrical Engineering, Electronic Engineering, Information Engineering | Optimeringslära, systemteori | Information technology | Optimization, systems theory | Engineering and Technology | Tillämpad matematik | Naturvetenskap | Applied mathematics | Matematik | Control Engineering
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12. Full Text Min–max–min robust combinatorial optimization
by Buchheim, Christoph and Kurtz, Jannis
Mathematical Programming, ISSN 0025-5610, 5/2017, Volume 163, Issue 1, pp. 1 - 23
The idea of k-adaptability in two-stage robust optimization is to calculate a fixed number k of second-stage policies here-and-now. After the actual scenario... 
Mathematical Methods in Physics | Robust optimization | 90C57 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | k -Adaptability | Mathematics | 90C27 | Combinatorics | Complexity | k-Adaptability | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Algorithms | Studies | Analysis | Optimization | Adaptability | Mathematical programming | Functions (mathematics) | Uncertainty | Policies | Robustness (mathematics) | Mathematical analysis | Polynomials | Combinatorial analysis
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13. Full Text Robust trajectory optimization using polynomial chaos and convex optimization
by Wang, Fenggang and Yang, Shuxing and Xiong, FenFen and Lin, Qizhang and Song, Jianmei
Aerospace Science and Technology, ISSN 1270-9638, 09/2019, Volume 92, pp. 314 - 325
The polynomial chaos (PC) theory and direct collocation method have been integrated to solve a lot of robust trajectory optimization problems. However, the... 
Robust trajectory optimization | Uncertainty | Polynomial chaos | Convex optimization | UNCERTAINTY PROPAGATION | GUIDANCE | ENGINEERING, AEROSPACE | Mathematical optimization | Aerospace engineering
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14. Full Text Combinatorial Network Optimization With Unknown Variables: Multi-Armed Bandits With Linear Rewards and Individual Observations
by Yi Gai and Krishnamachari, B and Jain, R
IEEE/ACM Transactions on Networking, ISSN 1063-6692, 10/2012, Volume 20, Issue 5, pp. 1466 - 1478
We formulate the following combinatorial multi-armed bandit (MAB) problem: There are N random variables with unknown mean that are each instantiated in an... 
Algorithm design and analysis | Upper bound | Radiation detectors | Combinatorial network optimization | multi-armed bandits (MABs) | Polynomials | Random variables | Indexes | Optimization | online learning | MULTIPLE PLAYS | EFFICIENT ALLOCATION RULES | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | COMPUTER SCIENCE, THEORY & METHODS | LOGARITHMIC REGRET | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Studies | Problems | Algorithms | Formulations | Networks | Policies | Computation | Mathematical analysis | Mathematical models | Combinatorial analysis
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15. Full Text Cost–benefit optimization of structural health monitoring sensor networks
by Capellari, Giovanni and Chatzi, Eleni and Mariani, Stefano
Sensors (Switzerland), ISSN 1424-8220, 07/2018, Volume 18, Issue 7, p. 2174
Structural health monitoring (SHM) allows the acquisition of information on the structural integrity of any mechanical system by processing data, measured... 
Benefit analysis | Bayesian experimental design | Model order reduction | Structural health monitoring | Bayesian inference | Stochastic optimization | Surrogate modeling | Cost | Information theory | ELECTROCHEMISTRY | CHEMISTRY, ANALYTICAL | ORBIT MODAL IDENTIFICATION | PLACEMENT METHODOLOGY | UPDATING MODELS | model order reduction | surrogate modeling | structural health monitoring | GENERALIZED POLYNOMIAL CHAOS | BAYESIAN EXPERIMENTAL-DESIGN | EXPECTED INFORMATION | KALMAN FILTER | stochastic optimization | STOCHASTIC FINITE-ELEMENT | DAMAGE DETECTION | INSTRUMENTS & INSTRUMENTATION | cost-benefit analysis | information theory | PROPER ORTHOGONAL DECOMPOSITION | Uncertainty | Algorithms | Stochastic Processes | Cost-Benefit Analysis | Bayes Theorem | Nonlinear Dynamics | Monte Carlo Method | Structural integrity | Parameter estimation | Maximization | Computer simulation | Mechanical properties | Data processing | Principal components analysis | Optimization | Mathematical models | Sensors | Model reduction | cost–benefit analysis
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16. An introduction to polynomial and semi-algebraic optimization
by Lasserre, Jean-Bernard, 1953
2015, Cambridge texts in applied mathematics, ISBN 9781107630697
Polynomials | Mathematical optimization
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17. Full Text Quadrature-based polynomial optimization
by Martinez, Angeles and Piazzon, Federico and Sommariva, Alvise and Vianello, Marco
Optimization Letters, ISSN 1862-4472, 2019
Polynomial optimization | Multivariate quadrature formulas | Lasserre measure-based hierarchy
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18. Full Text Monotonically convergent optimization in quantum control using Krotov's method
by Reich, Daniel M and Ndong, Mamadou and Koch, Christiane P
Journal of Chemical Physics, ISSN 0021-9606, 03/2012, Volume 136, Issue 10, pp. 104103 - 104103-16
The non-linear optimization method developed by A. Konnov and V. Krotov [ Autom. Remote Cont. (Engl. Transl.) 60 , 1427 ( 1999 )] has been used previously to... 
DESIGN | NMR | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DYNAMICS | TIME | ALGORITHMS | SELECTIVITY | UNIMOLECULAR REACTIONS | ELECTRONIC STATES | MOLECULES | Physics - Quantum Physics | POLYNOMIALS | SCHROEDINGER EQUATION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EQUATIONS OF MOTION | HAMILTONIANS | OPTIMIZATION | OPTIMAL CONTROL | TIME DEPENDENCE
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19. Full Text Ambiguity Function Shaping for Cognitive Radar Via Complex Quartic Optimization
by Aubry, A and De Maio, A and Bo Jiang and Shuzhong Zhang
IEEE Transactions on Signal Processing, ISSN 1053-587X, 11/2013, Volume 61, Issue 22, pp. 5603 - 5619
In this paper, we propose a cognitive approach to design phase-only modulated waveforms sharing a desired range-Doppler response. The idea is to minimize the... 
complex tensor optimization | radar waveform optimization | maximum block improvement method | Cognitive radar | Vectors | Radar signal processing | Doppler radar | Doppler effect | Optimization | PERIODIC CORRELATION | SIGNAL | DESIGN | SEQUENCES | WAVE-FORMS | TO-NOISE RATIO | ENGINEERING, ELECTRICAL & ELECTRONIC | RECEIVE FILTER | CLUTTER | Measurement | Usage | Frequency modulation | Innovations | Signal processing | Design and construction | Mathematical optimization | Operations research | Functions (mathematics) | Mathematical analysis | Blocking | Waveforms | Polynomials | Transaction processing | Ambiguity
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20. Full Text A density field parametrization for topology optimization using Bernstein elements
by Lambe, Andrew B and Czekanski, Aleksander
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 09/2018, Volume 115, Issue 10, pp. 1266 - 1286
Summary A new way of describing the density field in density‐based topology optimization is introduced. The new method uses finite elements constructed from... 
Bernstein elements | topology design | finite element methods | optimization | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | Topology optimization | Interpolation | Polynomials | Parameterization | Density | Structural analysis
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