## Course Detail

 Course Name Convex Optimization Course Code 19CCE333 Program B. Tech. in Computer and Communication Engineering Year Taught 2019

### Syllabus

##### Unit 1

Introduction – linear algebra fundamentals – Solving linear equations with factored matrices – Block elimination and Schur complements – Convex sets – Convex functions – examples.

##### Unit 2

Classes of Convex Problems – Linear optimization problems – Quadratic optimization problems – Geometric programming – Vector optimization -Reformulating a Problem in Convex Form.

##### Unit 3

Lagrange Duality Theory and KKT Optimality Conditions – Interior-point methods- Primal and Dual Decompositions – Applications.

### Textbook

• Stephen Boyd and LievenVandenberghe, “Convex Optimization”, Cambridge University Press, 2004.
• Daniel Palomar, “Convex Optimization in Signal Processing and Communications”, CambridgeUniversity Press, 2009.

### Reference

• Dimitri P Bertsekas, “Convex Optimization Theory”, Athena Scientific, 2009.

Evaluation Pattern

 Assessment Internal External Periodical 1 (P1) 15 – Periodical 2 (P2) 15 – *Continuous Assessment (CA) 20 – End Semester – 50 *CA – Can be Quizzes, Assignment, Projects, and Reports.

### Objectives and Outcomes

Objectives

• To efficiently solve mathematical optimization problems which arise in a variety of applications
• To discover/identify various applications in areas such as, estimation and signal processing, communications and networks, electronic circuit design, data analysis and modeling, statistics, automatic control systems and finance

Course Outcomes

• CO1: Able to recognize, formulate, and analyze convex optimization problems
• CO2: Able to design sophisticated algorithms based on convex Optimization for applications in communication and signal processing
• CO3: Able to solve convex problems using computationally efficient techniques
• CO4: Able to analyze and evaluate optimization techniques

CO – PO Mapping

 PO/PSO/CO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PSO1 PSO2 CO1 3 3 3 3 – – – – – 3 – 3 3 3 CO2 3 3 3 3 3 – – – – 3 2 3 3 3 CO3 3 3 3 3 3 – – – – 3 2 3 3 3 CO4 – – – 3 3 – – – 2 3 2 3 3 3

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