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Canonical Duality-Triality Theory: Unified Understanding for Modeling, Problems, and NP-Hardness in Global Optimization of Multi-Scale Systems - MaRDI portal

Canonical Duality-Triality Theory: Unified Understanding for Modeling, Problems, and NP-Hardness in Global Optimization of Multi-Scale Systems (Q5114939)

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scientific article; zbMATH DE number 7215621

Language	Label	Description	Also known as
English	Canonical Duality-Triality Theory: Unified Understanding for Modeling, Problems, and NP-Hardness in Global Optimization of Multi-Scale Systems	scientific article; zbMATH DE number 7215621

Statements

scholarly article

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Canonical Duality-Triality Theory: Unified Understanding for Modeling, Problems, and NP-Hardness in Global Optimization of Multi-Scale Systems (English)

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Advances in Mechanics and Mathematics

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publication date

29 June 2020

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-02487-1_1

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Improved canonical dual finite element method and algorithm for post-buckling analysis of nonlinear Gao beam

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On teaching mathematics

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Algorithmic Aspects of Wireless Sensor Networks

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Exact matrix completion via convex optimization

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Global solutions to nonconvex optimization of 4th-order polynomial and log-sum-exp functions

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Global solutions to spherically constrained quadratic minimization via canonical duality theory

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Struktur der Materie

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Panpenalty finite element programming for plastic limit analysis

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Complementary finite-element method for finite deformation nonsmooth mechanics

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Duality, triality and complementary extremum principles in non-convex parametric variational problems with applications

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Bi-complementarity and duality: A framework in nonlinear equilibria with applications to the contact problem of elastoplastic beam theory

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Pure complementary energy principle and triality theory in finite elasticity

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General analytic solutions and complementary variational principles for large deformation nonsmooth mechanics

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Duality principles in nonconvex systems. Theory, methods and applications

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Analytic solutions and triality theory for nonconvex and nonsmooth variational problems with applications

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Canonical dual transformation method and generalized triality theory in nonsmooth global optimization

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Complementarity, polarity and triality in non‐smooth, non–convex and non–conservative Hamilton systems

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Perfect duality theory and complete solutions to a class of global optimization problems*

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Solutions and optimality criteria to box constrained nonconvex minimization problems

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Analytical solutions to general anti-plane shear problems in finite elasticity

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Canonical duality theory for topology optimization

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On topology optimization and canonical duality method

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Analytic solutions to 3-D finite deformation problems governed by St Venant-Kirchhoff material

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Canonical duality theory. Unified methodology for multidisciplinary study

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Solutions to quadratic minimization problems with box and integer constraints

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Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation

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Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem

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Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality

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Canonical Dual Solutions for Fixed Cost Quadratic Programs

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Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization

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Geometric nonlinearity: potential energy, complementary energy, and the gap function

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On the triality theory for a quartic polynomial optimization problem

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Multi-scale modelling and canonical dual finite element method in phase transitions of solids

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Complete solutions to a class of eighth-order polynomial optimization problems

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DC programming: overview.

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On modeling and global solutions for d.c. optimization problems by canonical duality theory

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Reducibility among Combinatorial Problems

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Canonical duality for solving general nonconvex constrained problems

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Global Optimal Trajectory in Chaos and NP-Hardness

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A proximal method for composite minimization

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On dual configurational forces

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Further remarks on Euclidean objectivity and the principle of material frame-indifference

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Canonical duality theory and triality for solving general global optimization problems in complex systems

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On minimal distance between two surfaces

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On criticism of the nature of objectivity in classical continuum physics

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An Introduction to Mathematical Modeling

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The Multidimensional Knapsack Problem: Structure and Algorithms

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Tensor eigenvalues and their applications

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Global optimal solution to quadratic discrete programming problem with inequality constraints

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Canonical duality approach for non-linear dynamical systems

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On modeling and complete solutions to general fixpoint problems in multi-scale systems with applications

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A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique

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A reformulation-convexification approach for solving nonconvex quadratic programming problems

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Counter-examples in bi-duality, triality and tri-duality

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DC Programming and DCA for General DC Programs

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A duality principle for non-convex optimisation and the calculus of variations

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Some remarks concerning Gao–Strang's complementary gap function

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Global extremal conditions for multi-integer quadratic programming

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Canonical dual approach to solving the maximum cut problem

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Global solutions to a class of CEC benchmark constrained optimization problems

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-02487-1_1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5114939

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