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1 Introduction.(communications theory)
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From its inception, random matrix theory has been heavily influenced by its applications in physics, statistics and engineering. The landmark contributions to the theory of random matrices of Wishart (1928) [311], Wigner (1955) [303], and Marcenko and Pastur (1967) [170] were motivated to a large extent by practical experimental problems. Nowadays, random matrices find applications in fields as diverse as the Riemann hypothesis, stochastic differential equations, condensed matter p...
Related newspaper, magazine, and journal articles from HighBeam Research
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Random matrix theory and wireless communications.
Foundations and Trends in Communications and Information Theory
; Abstract Random matrix theory has found many applications in physics, statistics and engineering since its inception. Although early developments were motivated by practical experimental problems, random matrices are now used in fields as diverse as Riemann hypothesis, stochastic differential
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Matrix theory; from generalized inverses to Jordan form.(Brief article)(Book review)
SciTech Book News
; ... basic matrix operations, determinants and a review of the basics in spanning, linear independence, basis and dimension, and change of basis. This works at both graduate and advanced undergraduate levels. ([c]20072005 Book News, Inc., Portland, OR)
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C Random matrices.(Appendices)
Foundations and Trends in Communications and Information Theory
; A random matrix is a matrix whose entries are random variables. Consequently, a random matrix is described by assigning the joint probability density function (pdf) of its entries, which is especially easy when these are independent. For example, an m x n matrix A, m [less than or equal to] n,
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3 Applications to wireless communications.
Foundations and Trends in Communications and Information Theory
; In this section, we detail some of the more representative problems described by (1.1) that capture various features of interest in wireless communications and we show how random matrix results have been used to characterize the fundamental limits of the various channels that arise in wireless
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(book reviews)
Journal of the American Statistical Association
; Matrix Differential Calculus With Applications in Statistics and Econometrics. This book delivers far more than its rather misleading title promises. Statisticians and econometricians who deal with matrix theory in their everyday research will be extremely pleased to discover such a complete
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