This book addresses the problem of complex-valued derivatives in a wide range of
contexts. The mathematical presentation is rigorous but its structured and comprehensive
presentation makes the information easily accessible. Clearly, it is an invaluable reference
to researchers, professionals and students dealing with functions of complex-valued
matrices that arise frequently in many different areas. Throughout the book the examples
and exercises help the reader learn how to apply the results presented in the propositions,
lemmas and theorems. In conclusion, this book provides a well organized, easy to read,
authoritative and unique presentation that everyone looking to exploit complex functions
should have available in their own shelves and libraries.
Professor Paulo S. R. Diniz, Federal University of Rio de Janeiro
Complex vector and matrix optimization problems are often encountered by researchers
in the electrical engineering fields and much beyond. Their solution, which can some-
times be reached from using existing standard algebra literature, may however be a
time consuming and sometimes difficult process. This is particularly so when compli-
cated cost function and constraint expressions arise. This book brings together several
mathematical theories in a novel manner to offer a beautifully unified and systematic
methodology for approaching such problems. It will no doubt be a great companion to
many researchers and engineers alike.
Professor David Gesbert, EURECOM, Sophia-Antipolis, France
