Complex valued matrix derivatives : with applications in signal processing and communications In this complete introduction to the theory of finding derivatives of scalar vector and matrix valued functions with respect to complex matrix variables Hjørungnes describes an essential set of mathematical tools for solving research problems where unknown parameters are contained in complex valued matrices. The first book examining complex valued matrix derivatives from an engineering perspective it uses numerous practical examples from signal processing and communications to demonstrate how these tools can be used to analyze and optimize the performance of engineering systems. Covering un patterned and certain patterned matrices this self contained and easy to follow reference deals with applications in a range of areas including wireless communications control theory adaptive filtering resource management and digital signal processing. Over 80 end of chapter exercises are provided with a complete solutions manual available online Machine generated contents note: Preface; Nomenclature; List of abbreviations; 1. Introduction; 2. Background material; 3. Theory of complex valued matrix derivatives; 4. Development of complex valued derivative formulas; 5. Complex Hessian matrices for scalar vector and matrix functions; 6. Generalized complex valued matrix derivatives; 7. Applications in signal processing and communications; References; Index