Canonical dual least square method for solving general nonlinear systems of quadratic equations

Counterexamples to a triality theorem in ``canonical dual least square method, Solutions to quadratic minimization problems with box and integer constraints, 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

SNLSDP

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Multi-scale modelling and canonical dual finite element method in phase transitions of solids
Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem
Canonical dual approach to solving 0-1 quadratic programming problems
Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality
A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique
Primal-relaxed dual global optimization approach
New reformulation linearization/convexification relaxations for univariate and multivariate polynomial programming problems
Analytic solutions and triality theory for nonconvex and nonsmooth variational problems with applications
Global optimization with non-convex constraints. Sequential and parallel algorithms
Canonical duality theory and solutions to constrained nonconvex quadratic programming
Sparsity in sums of squares of polynomials
Duality principles in nonconvex systems. Theory, methods and applications
General analytic solutions and complementary variational principles for large deformation nonsmooth mechanics
Pure complementary energy principle and triality theory in finite elasticity
On dual configurational forces
Solutions and optimality criteria to box constrained nonconvex minimization problems
Geometric nonlinearity: potential energy, complementary energy, and the gap function
Canonical Dual Solutions for Fixed Cost Quadratic Programs
A differentiable exact penalty function for bound constrained quadratic programming problems
Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization
Some NP-complete problems in quadratic and nonlinear programming
Duality, triality and complementary extremum principles in non-convex parametric variational problems with applications
Solving Polynomial Systems Using a Branch and Prune Approach
Perfect duality theory and complete solutions to a class of global optimization problems*
Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity
Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation
Canonical dual transformation method and generalized triality theory in nonsmooth global optimization