[PDF] Top 20 Some bounds for the Z eigenpair of nonnegative tensors
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Some bounds for the Z eigenpair of nonnegative tensors
... give some basic facts and symbols. The concept of Z-eigenvalue and a Peron–Frobenius-type theorem is given ...of Z-spectral radius is shown for an irreducible and weakly symmetric nonnegative ... See full document
14
New bounds for the spectral radius for nonnegative tensors
... A lower bound and an upper bound for the spectral radius for nonnegative tensors are obtained. A numerical example is given to show that the new bounds are sharper than the corresponding ... See full document
9
Two S type Z eigenvalue inclusion sets for tensors
... the Z-eigenpair for nonnegative tensors plays an important role in some applications such as high order Markov chains [, ] and best rank-one approximations in statistical data ... See full document
12
Some inequalities for the Fan product of M tensors
... of tensors and obtained some bounds on the spectral radius, and used them to estimate the spectral radius of a directly weighted ...a Z-tensor and its al- gebra properties can be explored ... See full document
15
A new bound for the spectral radius of nonnegative tensors
... The main result of this paper is Theorem . From Remark and the proof of Lemma , it is not difficult to see that the right expressions of last inequality () can also be replaced by many similar expressions according to ... See full document
12
An upper bound for the Z spectral radius of adjacency tensors
... largest Z-eigenvalue of positive ...D.: Z-Eigenpair bounds for an irreducible nonnegative ...the Z-eigenvalues of the adjacency tensors for uniform ... See full document
6
An S type singular value inclusion set for rectangular tensors
... 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 entanglement ... See full document
14
A new Z eigenvalue localization set for tensors
... J: Bounds for the largest eigenvalue of nonnegative ...X: Bounds for the Z-spectral radius of nonnegative ...largest Z-eigenvalue of positive ...YT: Bounds for the ... See full document
9
A new S type eigenvalue inclusion set for tensors and its applications
... recollect some useful lemmas on tensors which are utilized in the next ...for tensors is given, and proved to be tighter than the existing ones derived in Lemmas ...of nonnegative ... See full document
19
Two new lower bounds for the minimum eigenvalue of M tensors
... 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
9
Inequalities for M tensors
... establish some important properties of ...lower bounds for the minimum eigenvalue of M-tensors, bounds for eigenvalues of M-tensors except the minimum eigenvalue are also presented; ... See full document
9
A positive fixed point theorem with applications to systems of Hammerstein integral equations
... We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to ... See full document
10
New iterative criteria for strong \(\mathcal{H}\) tensors and an application
... the tensors without Definition ...study some new iterative criteria for identifying strong H- tensors only depending on the elements of the ... See full document
16
Some inequalities for sums of nonnegative definite matrices in quaternions
... In complex matrix analysis, two Hermitian matrices A and B of the same order are said to satisfy the L¨owner partial ordering A B if B − A is nonnegative definite. It was shown in Marshall and Olkin [9] that if ... See full document
10
V singular values of rectangular tensors and their applications
... It can be verified that A satisfies all the conditions of Theorem 11, i.e., A is an SDD partially symmetric rectangular tensor. Hence, from Theorem 11, A is a positive definite rectangular tensor. In fact, the V-singular ... See full document
15
SOME BOUNDS ON THE SEIDEL ENERGY OF GRAPHS
... study, some results on bounds are focused for Seidel incidence energy of graphs with some fixed ...and some results are obtained using the vertices, the edges and the ... See full document
8
Some inequalities on the spectral radius of matrices
... given some inequalities for the upper bounds of ρ(A ◦ ...for nonnegative matrices A and B, that is, ρ(A ◦ B) ≤ ...k nonnegative matrices, that is, ρ(A 1 ◦ A 2 ◦ · · · ◦ A k ) ≤ ρ(A 1 A 2 · · · ... See full document
12
Some curvature tensors in N(k)-contact metric manifold
... the Weyl's projective curvature tensor defined by Eisenhart [5]. In [4] it is studied that distribution of vector field over the metric potentials and matter tensors plays an important role in shaping the various ... See full document
9
New Lower Bounds for the Border Rank of Matrix Multiplication
... We record the following proposition which follows from Stirling’s formula and the discussion above. Proposition 2.3. The equations for the variety of tensors of border rank at most r in A ⊗ B ⊗ C obtained by ... See full document
14
Some Estimates of Schrödinger Type Operators with Certain Nonnegative Potentials
... In order to prove Theorem 1.1, we need to give the estimates of the fundamental solution of H. Zhong has established the estimates of the fundamental solution of H in 2 when Vx is a nonnegative polynomial. ... See full document
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