2 resultados para Matrix Product

em University of Queensland eSpace - Australia


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Numerous authors are apparently unaware that bounds on the trace of a matrix product presented in 1995 were originally published in 1990.

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We consider the problems of computing the power and exponential moments EXs and EetX of square Gaussian random matrices X=A+BWC for positive integer s and real t, where W is a standard normal random vector and A, B, C are appropriately dimensioned constant matrices. We solve the problems by a matrix product scalarization technique and interpret the solutions in system-theoretic terms. The results of the paper are applicable to Bayesian prediction in multivariate autoregressive time series and mean-reverting diffusion processes.