Convex optimization for signal processing and communications

  • Why are convex functions important?

    Convex functions play an important role in many areas of mathematics.
    They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties.
    For instance, a strictly convex function on an open set has no more than one minimum..

Is convex optimization a powerful signal-processing tool?

In particular, convex optimization has emerged as a powerful signal-processing tool, and the range of applications continues to grow rapidly

This book, written by a team of leading experts, sets out the theoretical underpinnings of the subject and provides tutorials on a wide range of convex-optimization applications

What is convex quaternion optimization?

Convex Quaternion Optimization for Signal Processing: Theory and Applications Abstract—Convex optimization methods have been extensively used in the fields of communications and signal processing

However, the theory of quaternion optimization is currently not as fully developed and systematic as that of complex and real optimization


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