Final Exam
Wednesday, May 9
7:50 - 9:50 a.m.
Neckers 218
Here is a list of topics to study.
Global and local minimizers/maximizers (Sections 1.1 and 1.2)
Positive definite matrices and optimization (Section 1.3)
Eigenvalues and positive definite matrices (Section 1.5)
Convex functions, Jensen's inequality, criteria for convexity (Section. 2.3)
Convexity and the arithmetic - geometric mean inequality (Section. 2.4)
Newton's method for function minimization (Section 3.1)
Least squares fit and overdetermined linear systems (Section 4.1)
Solving normal equations using the QR- factorization (Section 4.1)
Minimum norm solution of the underdetermined linear systems (Section 4.3)
Lagrange multipliers (Section 7.2)
Quadratic programming (Section 7.3)
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