Pseudospectra localizations for generalized tensor eigenvalues to seek more positive definite tensors
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0958-6
Abstract: In this paper, we present the pseudospectrum for generalized tensor eigenvalues, and a set to locate this pseudospectrum. By the relations between H-eigenvalues (Z-eigenvalues) of tensors and generalized tensor eigenvalues, a pseudospectral localization for H-eigenvalues… read more here.
Keywords: positive definite; generalized tensor; tensor; seek positive ... See more keywords
Generalized tensor FDTD method for sloped dispersive interfaces and thin sheets.
Sign Up to like & getrecommendations! Published in 2019 at "Optics express"
DOI: 10.1364/oe.27.015812
Abstract: We present a modified formulation of the Finite-Difference Time-Domain (FDTD) technique that facilitates the accurate modeling of curved plasmonic interfaces. These interfaces appear in structures of interest for the design of optical metamaterials, such as… read more here.
Keywords: fdtd method; tensor fdtd; tensor; generalized tensor ... See more keywords
Continuity, differentiability and semismoothness of generalized tensor functions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Industrial and Management Optimization"
DOI: 10.3934/jimo.2020131
Abstract: A large number of real-world problems can be transformed into mathematical problems by means of third-order real tensors. Recently, as an extension of the generalized matrix function, the generalized tensor function over the third-order real… read more here.
Keywords: tensor functions; continuity; generalized tensor; differentiability ... See more keywords