scientific article; zbMATH DE number 2156462

zbMath1067.49024MaRDI QIDQ4668956

David Yang Gao

Publication date: 15 April 2005

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

global optimizationtrialityquadratic programmingdualitycritical point theoryNP-hard problemssemi-linear equationscanonical dual transformationnonconvex mechanicsnonconvex variations

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Nonconvex programming, global optimization (90C26) Numerical optimization and variational techniques (65K10) Optimality conditions and duality in mathematical programming (90C46) Methods involving semicontinuity and convergence; relaxation (49J45) Statistical mechanics of superconductors (82D55) Duality theory (optimization) (49N15)

Related Items (14)

Global solutions to nonconvex optimization of 4th-order polynomial and log-sum-exp functions ⋮ Canonical duality for solving nonconvex and nonsmooth optimization problem ⋮ Analytical solutions to general anti-plane shear problems in finite elasticity ⋮ Canonical Duality-Triality Theory: Unified Understanding for Modeling, Problems, and NP-Hardness in Global Optimization of Multi-Scale Systems ⋮ Complete solutions to general box-constrained global optimization problems ⋮ Solutions and optimality criteria for nonconvex quadratic-exponential minimization problem ⋮ On quadratically constrained quadratic optimization problems and canonical duality theory ⋮ On modeling and global solutions for d.c. optimization problems by canonical duality theory ⋮ On unconstrained optimization problems solved using the canonical duality and triality theories ⋮ Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization ⋮ Canonical duality for solving general nonconvex constrained problems ⋮ Canonical dual least square method for solving general nonlinear systems of quadratic equations ⋮ Global Optimal Trajectory in Chaos and NP-Hardness ⋮ Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality

Uses Software

• UOBYQA

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