About
Concentrates on recognizing and solving convex optimization problems that arise in engineering. Convex sets, functions, and optimization problems. Basics of convex analysis. Least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, and other problems. Optimality conditions, duality theory, theorems of alternative, and applications. Interiorpoint methods. Applications to signal processing, control, digital and analog circuit design, computational geometry, statistics, and mechanical engineering.
Prerequisites: *Good knowledge of linear algebra. *Exposure to numerical computing, optimization, and application fields helpful but not required; the engineering applications will be kept basic and simple.
Course Homepage: [[http://see.stanford.edu/see/courseinfo.aspx?coll=2db7ced4-39d1-4fdb-90e8-364129597c87]]
Course features at Stanford Engineering Everywhere page: *Convex Optimization I *Lectures *Syllabus *Handouts *Assignments *Exams *Software
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Uploaded videos:
Lecture 1: Introduction to Convex Optimization I
Aug 17, 2010
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14810 Views
Lecture 2: Guest Lecturer: Jacob Mattingley
Aug 17, 2010
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5194 Views
Lecture 3: Logistics
Aug 17, 2010
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5359 Views
Lecture 4: Vector Composition
Aug 17, 2010
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3656 Views
Lecture 5: Optimal And Locally Optimal Points
Aug 17, 2010
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3704 Views
Lecture 6: (Generalized) Linear-Fractional Program
Aug 17, 2010
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4560 Views
Lecture 7: Generalized Inequality Constraints
Aug 17, 2010
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5198 Views
Lecture 8: Lagrangian
Aug 17, 2010
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5551 Views
Lecture 9: Complementary Slackness
Aug 17, 2010
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3906 Views
Lecture 10: Applications Section Of The Course
Aug 17, 2010
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3134 Views
Lecture 11: Statistical Estimation
Aug 17, 2010
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7343 Views
Lecture 12: Continue On Experiment Design
Aug 17, 2010
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3924 Views
Lecture 13: Linear Discrimination (Cont.)
Aug 17, 2010
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3014 Views
Lecture 14: LU Factorization (Cont.)
Aug 17, 2010
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3552 Views
Lecture 15: Algorithm Section Of The Course
Aug 17, 2010
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3119 Views
Lecture 16: Continue On Unconstrained Minimization
Aug 17, 2010
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2481 Views
Lecture 17: Newton's Method (Cont.)
Aug 17, 2010
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3058 Views
Lecture 18: Logarithmic Barrier
Aug 17, 2010
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2938 Views
Lecture 19: Interior-Point Methods (Cont.)
Aug 17, 2010
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3262 Views