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.Release Name: Cambridge.University.Press-Complex.Valued.Matrix.Derivatives.2011.RETAiL.EBook-DiGiBook
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This book contains papers based on the fourteen lectures presented at the NATO Advanced Study Institute ”Information Security and Related Combinatorics”, held in Opatija, Croatia, May 31 – June 11, 2010. The conference was widely attended by students and junior scientists from throughout Europe and the USA. The theme addressed by these papers is combinatorial mathematics, as used in applications related to information security, cryptography and coding theory. Together they cover several topics subject to current research in the field. The volume will be of interest to mathematicians, computer scientists and engineers working in the area of digital communications, as well as to researchers and graduate students wishing to learn more about the application of combinatorial mathematics. The tutorial style of the papers makes the book particularly suitable for use as an additional text for a course in discrete mathematics or applied combinatorics. It would similarly be of value for graduate courses in applied combinatorics with a focus on coding theory and cryptography.
