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+ | =====Course unit: Optimization===== | ||
+ | * Title in French: Optimisation | ||
+ | * Course code: tba | ||
+ | * ECTS credits: 1 | ||
+ | * Teaching hours: 25h | ||
+ | * Type: elective course | ||
+ | * Language of instruction: | ||
+ | * Coordinator: | ||
+ | * Instructor(s): | ||
+ | * Remark(s): shared course with 3r year track DIGITAL.e | ||
+ | |||
+ | **Brief description** | ||
+ | |||
+ | This course is an elective course aimed at anyone interested in optimization. | ||
+ | |||
+ | **Learning outcomes** | ||
+ | |||
+ | * Know how to solve a problem of functional minimization using Lagrange multipliers | ||
+ | * Understand the application to classical problems of calculus of variations | ||
+ | * Know how to build some minization algorithms | ||
+ | |||
+ | **Course content** | ||
+ | |||
+ | - Gâteaux and Fréchet derivatives, | ||
+ | - Convex programs (up to Kuhn & Tucker), application to the quadratic case and to the equivalence with the symmetric variational formulation. | ||
+ | - Algorithms: relaxation and the four gradients; convergence rate | ||
+ | - Introduction to optimal control |