Matrix Analysis, 2nd Ed

  title={Matrix Analysis, 2nd Ed},
  author={Roger A. Horn and Charles R. Johnson},
Subgeometrically ergodic autoregressions with autoregressive conditional heteroskedasticity
In this paper, we consider subgeometric ergodicity of univariate nonlinear autoregressions with autoregressive conditional heteroskedasticity (ARCH). The notion of subgeometric ergodicity was
On causal and non‐causal cointegrated vector autoregressive time series
Previous‐30 treatments of multivariate non‐causal time series have assumed stationarity. In this article, we consider integrated processes in a non‐causal setting. We generalize the Johansen–Granger
Group Consensus for Heterogeneous Multiagent Systems in the Competition Networks With Input Time Delays
In this complex networks, the agents’ dynamics are modeled by the first-order and the second-order multiagent systems, where a novel dynamic group consensus protocol is designed through the competitive relationship among the agents.
Scattering concentration bounds: brightness theorems for waves
The brightness theorem---brightness is nonincreasing in passive systems---is a foundational conservation law, with applications ranging from photovoltaics to displays, yet it is restricted to the
When Infinity is Too Long to Wait: On the Convergence of Markov Chain Monte Carlo Methods
Markov chains are an incredibly powerful tool for statisticians and other practitioners. They allow for random draws, though autocorrelated, to be obtained from a vast array of target distributions,
Long Wavelength Coherency in Well Connected Electric Power Networks
We investigate coherent oscillations in large scale transmission power grids, where large groups of generators respond in unison to a distant disturbance. Such long wavelength coherent phenomena are
MIMO OFDM Dual-Function Radar-Communication Under Error Rate and Beampattern Constraints
This work adopts a unified design approach allowing a broad family of radar objectives, including both estimation- and detection-oriented merit functions, and devise a suboptimal solution based on alternating optimization of the involved variables, a convex restriction of the feasible search set, and minorization-maximization.
Fundamental Limits on Substructure Dielectric Resonator Antennas
We show theoretically that the characteristic modes of dielectric resonator antennas (DRAs) must be capacitive in the low frequency limit and that as a consequence of this constraint and the Poincaré
Gramian-constrained optimization process for the stiffness model identification of industrial manipulators
Abstract This work deals with the elastostatic identification of industrial manipulators. By reviewing the basics of the physical elastic properties of both links and joints in the framework of the
Faster-than-Nyquist Signaling for MIMO Communications
It is found that precoding in time (or equivalently spectrum shaping in frequency) and waterfilling in spatial domain and spectrum domain, followed by spectrum shaping, is capacity achieving for FS MIMO channels with FTN.