Results 21 to 30 of about 927 (80)
Positive diagonal scaling of a nonnegative tensor to one with prescribed slice sums [PDF]
, 2009 In this paper we give necessary and sufficient conditions on a nonnegative tensor to be diagonally equivalent to a tensor with prescribed slice sums. These conditions are variations of Bapat-Raghavan and Franklin-Lorenz conditions.Comment: 6 pages, new ...
Friedland, Shmuel
core +5 more sources
A note on the three-way generalization of the Jordan canonical form
Open Mathematics, 2018 The limit point 𝓧 of an approximating rank-R sequence of a tensor Ƶ can be obtained by fitting a decomposition (S, T, U) ⋅ 𝓖 to Ƶ. The decomposition of the limit point 𝓧 = (S, T, U) ⋅ 𝓖 with 𝓖 = blockdiag(𝓖1, … , 𝓖m) can be seen as a three order ...
Cui Lu-Bin, Li Ming-Hui
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Some inequalities on the spectral radius of nonnegative tensors
Open Mathematics, 2020 The eigenvalues and the spectral radius of nonnegative tensors have been extensively studied in recent years. In this paper, we investigate the analytic properties of nonnegative tensors and give some inequalities on the spectral radius.
Ma Chao +3 more
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Bound for the largest singular value of nonnegative rectangular tensors
Open Mathematics, 2016 In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math.
He Jun +4 more
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Two new eigenvalue localization sets for tensors and theirs applications
Open Mathematics, 2017 A new eigenvalue localization set for tensors is given and proved to be tighter than those presented by Qi (J. Symbolic Comput., 2005, 40, 1302-1324) and Li et al. (Numer. Linear Algebra Appl., 2014, 21, 39-50).
Zhao Jianxing, Sang Caili
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A concise proof to the spectral and nuclear norm bounds through tensor partitions
Open Mathematics, 2019 On estimations of the lower and upper bounds for the spectral and nuclear norm of a tensor, Li established neat bounds for the two norms based on regular tensor partitions, and proposed a conjecture for the same bounds to be hold based on general tensor ...
Kong Xu
doaj +1 more source
Polynomial foldings and rank of tensors
, 2016 . We review facts about rank, multilinear rank, multiplex rank and generic rank of tensors as well as folding of a tensor into a matrix of multihomogeneous polynomials. We de(cid:12)ne the new concept of folding rank of tensors and compare its properties
Steven P. Diaz, A. Lutoborski
semanticscholar +1 more source
Higher rank numerical hulls of matrices and matrix polynomials
, 2015 In this paper, some properties of the higher rank numerical hulls, as a generalization of higher rank numerical ranges and polynomial numerical hulls, of matrices are investigated.
G. Aghamollaei, Sharifeh Rezagholi
semanticscholar +1 more source
Congruence of multilinear forms [PDF]
, 2006 It is known that if A and B are two n-by-n complex matrices and (A,A^T) is simultaneously equivalent to (B,B^T), then A is congruent to B.
Belitskii, Genrich R. +1 more
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Normal form of m-by-n-by-2 matrices for equivalence [PDF]
, 2007 We give a canonical form of m-by-2-by-2 spatial matrices for equivalence over any field.Comment: 15 ...
Belitskii, Genrich +2 more
core +2 more sources