[PDF] Top 20 An eigenvalue localization set for tensors and its applications

... of tensors and using ob- tained eigenvalue inclusion theorems to determine the positive definiteness of an even- order real symmetric tensor or to give the lower and upper bounds for the spectral radius of ... See full document

... order tensors have become an important topic in the ap- plied mathematics branch of numerical multilinear algebra, and they have a wide range of practical applications, such as best-rank one approximation ... See full document

... largest eigenvalue of nonnegative ...nonnegative tensors. Open Math. 14, 181-194 (2016) 11. Li, CQ, Li, YT: An eigenvalue localization set for tensor with applications to ... See full document

... rectangular tensors with positive diagonal entries. As applications, we give an upper bound for the largest V-singular value of nonnegative rectangular tensors in ...rectangular tensors are ... See full document

... nonsingular tensors (p-norm strictly diagonally dominant tensors), which is a subclass of strong ...As applications of the results, we give a new eigenvalue inclusion set, which is ... See full document

... using its nonsingularity, we also obtain a new eigenvalue localization ...corresponding eigenvalue localization ...obtained eigenvalue localiza- tion sets are given in Section ... See full document

... In this section, we will develop the model for canonical correlation analysis of two tensor data sets that enjoys a significant reduction on the number of parameters while the spatial information is still preserved. To ... See full document

... rectangular tensors have a sound application ...rectangular tensors have a wide range of practical applications in the strong ellipticity condition problem in solid mechanics [, ] and the ... See full document

... familiar tensors in physical importance are internal stress in a solid and viscous stress in ...and its applications in various fields of ...on applications of tensors, which we feel ... See full document

... Z- eigenvalue inclusion sets for general tensors by breaking N into a disjoint subset S and its complement, which is proved to be tighter than the sets in ...as applications of the above ... See full document

... of tensors with their various applications has increasingly attracted extensive attention and interest ...for tensors are gener- ally ...structured tensors such as nonnegative tensors, ... See full document

... 6. Zhang, LP, Qi, LQ, Zhou, GL: M-tensors and some applications. SIAM J. Matrix Anal. Appl. 35, 437-452 (2014) 7. Ding, WY, Qi, LQ, Wei, YM: M-tensors and nonsingular M-tensors. Linear Algebra ... See full document

... generalized eigenvalue problem arises in many scientific applications; see ...the localization of all generalized eigenvalues of a ma- trix pair; see [, , , ... See full document

... lems of matrices has a wide range of practical applications, such as image restoration [1], linear and multilinear algebra [2], higher order Markov chains [3], etc. In order to locate all eigenvalues of matrices, ... See full document

... for its widespread adoption as next generation RFID, a significant research effort and synergy between different but tightly intertwined fields such as low power electronics, antenna design, communication theory ... See full document

... of a normal gap in the eigenvalue set of s non-negative matrix A must actually be an eigenvalue of a matrix in ~A • We shall now prove two lemmas which will enable us to use this fact to[r] ... See full document

... suppressed using cross projection tensors [3] to reduce the intensity of the darker regions in the image. In [2] the advantage of the assumption on the chromaticity consistency is taken into account. The ambient ... See full document

... million cubic meters, leaving an annual freshwater deficit of about 850 million cubic meters. The negative water balance is mainly due to the diversion of water from its catchments area by Israel, Jordan, Syria ... See full document

... The third stage (quadrupole or TOF) then generates a spectrum of the resulting product ions. It can also perform selected ion monitoring of only a few product ions when quantitating target compounds. In ion trap and ... See full document

... of tensors and obtained some bounds on the spectral radius, and used them to estimate the spectral radius of a directly weighted ...and its al- gebra properties can be explored using the spectral theory of ... See full document