Polynomial Optimization: Theory and Applications

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Related lectures (29)

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Tori: Character Forms and Monomials

Explores Tori in algebraic geometry, emphasizing character forms and monomials.

Irreducible Polynomials: Degree and Roots

Explores irreducible polynomials, focusing on their degree and roots in different fields.

Complex Numbers: Argument and Polar Method

Introduces the argument of complex numbers and the polar method, demonstrating their application in finding roots.

Directed Networks & Hypergraphs

Explores directed networks with asymmetric relationships and hypergraphs that generalize graphs by allowing edges to connect any subset of nodes.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Bar Construction: Homology Groups and Classifying Space

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

Decomposition: Simple and Quadratic Factors

Explores the decomposition of a function into simple and quadratic factors.

Differential Forms Integration

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Polynomials: Definitions and Operations

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

Extension of Domains

Covers extending domains, leading coefficients, and valid extensions.