Tensor logarithmic norm and its applications
Copyright policy )Tensor logarithmic norm and its applications
SummaryMatrix logarithmic norm is an important quantity, which characterize the stability of linear dynamical systems. We propose the logarithmic norms for tensors and tensor pairs, and extend some classical results from the matrix case. Moreover, the explicit forms of several tensor logarithmic norms and semi‐norms are also derived. Employing the tensor logarithmic norms, we bound the real parts of all the eigenvalues of a complex tensor and study the stability of a class of nonlinear dynamical systems. Copyright © 2016 John Wiley & Sons, Ltd.
- Fudan University China (People's Republic of)
logarithmic norm, Stability for nonlinear problems in mechanics, Multilinear algebra, tensor calculus, stability of dynamical systems, Norms of matrices, numerical range, applications of functional analysis to matrix theory, tensor norm, tensor eigenvalue, spectral abscissa, tensor pair
logarithmic norm, Stability for nonlinear problems in mechanics, Multilinear algebra, tensor calculus, stability of dynamical systems, Norms of matrices, numerical range, applications of functional analysis to matrix theory, tensor norm, tensor eigenvalue, spectral abscissa, tensor pair
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