Acknowledgments.

Daniel P. Palomar would like to thank his Ph.D. advisor, Miguel Angel Lagunas, and his mentor at Stanford University, John Cioffi, for their inspiring support at a time when he was starting an unexpectedly amusing journey on MIMO transceiver design and majorization theory. He would also like to acknowledge Stephen Boyd for introducing him into the wonderful world of convex optimization theory. In addition, he would like to thank his subsequent collaborators on the same topic: Javier R. Fonollosa, Mats Bengtsson, Bjorn Ottersten, and Sergio Barbarossa.

Yi Jiang would like to thank his Ph.D. advisor, Jian Li, for her invaluable support and inspiration during his Ph.D. work on these fascinating research problems. He would also like to thank Professor William W. Hager for the inspiring discussions on relating the MIMO transceiver design to the matrix decomposition. He is also grateful to his Postdoc advisor, Mahesh K. Varanasi, for providing him the opportunity of investigating the information-theoretic aspects of the MIMO transceiver design.