Skip to content
Register Sign in Wishlist
Convex Optimization

Convex Optimization


  • Date Published: March 2004
  • availability: In stock
  • format: Hardback
  • isbn: 9780521833783

£ 84.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.

    • Gives comprehensive details on how to recognize convex optimization problems in a wide variety of settings
    • Provides a broad range of practical algorithms for solving real problems
    • Contains hundreds of worked examples and homework exercises
    Read more

    Reviews & endorsements

    'Boyd and Vandenberghe have written a beautiful book that I strongly recommend to everyone interested in optimization and computational mathematics: Convex Optimization is a very readable introduction to this modern field of research.' Mathematics of Operations Research

    '… a beautiful book that I strongly recommend to everyone interested in optimization and computational mathematics … a very readable and inspiring introduction to this modern field of research. I recommend it as one of the best optimization textbooks that have appeared in the last years.' Mathematical Methods of Operations Research

    'I highly recommend it either if you teach nonlinear optimization at the graduate level for a supplementary reading list and for your library, or if you solve optimization problems and wish to know more about solution methods and applications.' International Statistical institute

    '… the whole book is characterized by clarity. … a very good pedagogical book … excellent to grasp the important concepts of convex analysis [and] to develop an art in modelling optimization problems intelligently.' Matapli

    'The book by Boyd and Vandenberghe reviewed here is one of … the best I have ever seen … it is a gentle, but rigorous, introduction to the basic concepts and methods of the field … this book is meant to be a 'first book' for the student or practitioner of optimization. However, I think that even the experienced researcher in the field has something to gain from reading this book: I have very much enjoyed the easy to follow presentation of many meaningful examples and suggestive interpretations meant to help the student's understanding penetrate beyond the surface of the formal description of the concepts and techniques. For teachers of convex optimization this book can be a gold mine of exercises. MathSciNet

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: March 2004
    • format: Hardback
    • isbn: 9780521833783
    • length: 727 pages
    • dimensions: 254 x 197 x 40 mm
    • weight: 1.68kg
    • contains: 337 exercises
    • availability: In stock
  • Table of Contents

    1. Introduction
    Part I. Theory:
    2. Convex sets
    3. Convex functions
    4. Convex optimization problems
    5. Duality
    Part II. Applications:
    6. Approximation and fitting
    7. Statistical estimation
    8. Geometrical problems
    Part III. Algorithms:
    9. Unconstrained minimization
    10. Equality constrained minimization
    11. Interior-point methods

  • Instructors have used or reviewed this title for the following courses

    • Advance topics in Engineering
    • Advanced Optimization
    • Advanced Optimization Methods
    • Algorithmics ll
    • Array Signal Processing
    • Cellular Mobile Communications
    • Cognitive Radios and Cognitive Radio Networks
    • Computer Algorithms
    • Computer Vision
    • Control Theory 2
    • Convex Optimization
    • Convex and Robust Optimization
    • Engineering Optimization Techniques
    • Foundations of Networks
    • Introduction to Optimization: Models and Methods
    • Linear Optimization and Convex Analysis
    • MIMO
    • Mathematical Computations ll -- Optimization
    • Neural signal processing
    • Nonlinear Optimization
    • Nonlinear programming
    • Optimal Control Systems
    • Optimization
    • Optimization Methods
    • Optimization for Machine Learning
    • Optimization of Wireless Networks
    • Real-Time Computing
    • Seepage and Earth Dams
    • Signal detection and estimation
    • Water Resources Engineering
  • Authors

    Stephen Boyd, Stanford University, California
    Stephen Boyd received his PhD from the University of California, Berkeley. Since 1985 he has been a member of the Electrical Engineering Department at Stanford University, where he is now Professor and Director of the Information Systems Laboratory. He has won numerous awards for teaching and research, and is a Fellow of the IEEE. He was one of the co-founders of Barcelona Design, and is the co-author of two previous books Linear Controller Design: Limits of Performance and Linear Matrix Inequalities in System and Control Theory.

    Lieven Vandenberghe, University of California, Los Angeles
    Lieven Vandenberghe received his PhD from the Katholieke Universiteit, Leuven, Belgium, and is a Professor of Electrical Engineering at the University of California, Los Angeles. He has published widely in the field of optimization and is the recipient of a National Science Foundation CAREER award.

Related Books

also by this author

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.