Polynomial Optimization: SOS and Nonnegative Polynomials

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Explores outliers, leverage, and influential observations in statistical models, including methods for detection and assessment.

Explores qualitative factors in Design of Experiments, including Latin squares, factorial designs, and ANOVA tables.

Explores the Max-Cut Problem, its relaxation using SDP, and Polynomial Optimization.

Covers optimization methods without constraints, including gradient and line search in the quadratic case.

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

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Covers the factorization of polynomials with complex coefficients and diagonalizability of matrices.

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

Covers polynomial factorization examples and polynomial division in complex numbers.

Covers the programming of a script to calculate the solutions of quadratic equations.