Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA564.SPR FCT 96987 (Browse shelf) | 1 | Available |
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QA564.SPR FCT 96732 Period mappings with applications to symplectic complex spaces | QA564.SPR FCT 96739 The Grassmannian variety | QA564.SPR FCT 96906 Numerical semigroups and applications | QA564.SPR FCT 96987 Optimization of polynomials in non-commuting variables | QA564.SPR FCT 97030 Introduction to the theory of standard monomials | QA564.SPR FCT 97085 Geometric procedures for civil engineers | QA564.SPR FCT 97148 Rigid cohomology over Laurent series fields |
Colocação: Online
This book presents recent results on positivity and optimization of polynomials in non-commuting variables. Researchers in non-commutative algebraic geometry, control theory, system engineering, optimization, quantum physics and information science will find the unified notation and mixture of algebraic geometry and mathematical programming useful. Theoretical results are matched with algorithmic considerations; several examples and information on how to use NCSOStools open source package to obtain the results provided. Results are presented on detecting the eigenvalue and trace positivity of polynomials in non-commuting variables using Newton chip method and Newton cyclic chip method, relaxations for constrained and unconstrained optimization problems, semidefinite programming formulations of the relaxations and finite convergence of the hierarchies of these relaxations, and the practical efficiency of algorithms.
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