[PDF] Top 20 Two new lower bounds for the minimum eigenvalue of M tensors
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Two new lower bounds for the minimum eigenvalue of M tensors
... respectively. This definition was introduced by Qi in [] where he assumed that A is an order m and dimension n supersymmetric tensor and m is even. Independently, in [], Lim gave such a definition but ... See full document
9
Some inequalities for the Fan product of M tensors
... of M-tensors. We propose exact characterizations of M-tensors and establish some inequalities on the minimum eigenvalue for the Fan product of two ... See full document
15
An eigenvalue localization set for tensors and its applications
... a new eigenvalue inclusion set for tensors and prove that this set is tighter than those in [, ...obtain new lower and upper bounds for the minimum eigenvalue of ... See full document
9
Inequalities for M tensors
... of M-tensors. We derive upper and lower bounds for the minimum eigenvalue of M-tensors, bounds for eigenvalues of M-tensors except the ... See full document
9
A new Z eigenvalue localization set for tensors
... of tensors and bounding the Z-spectral radius of nonnegative tensors in [, ...use eigenvalue inclusion sets to obtain the lower and upper bounds of the spec- tral radius of nonnegative ... See full document
9
A new S type eigenvalue inclusion set for tensors and its applications
... a new S-type eigenvalue localization set for a tensor is derived by dividing N = { 1, 2, ...this new set is sharper than those presented by Qi ...results, new bounds for the spectral ... See full document
19
Several new inequalities for the minimum eigenvalue of M matrices
... It is easy to verify that A is a nonsingular M-matrix, but it is not weakly chained diagonally dominant. Hence inequality () cannot be used to estimate the lower bounds of τ (A). Nu- merical results ... See full document
9
New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices
... for two nonnegative matrices A and B, we exhibit some new upper bounds for ρ(A ◦ B) in Section ...some new lower bounds for τ (A B) of M-matrices are ... See full document
11
Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices
... type bounds on the spectral radius ρ ( A ◦ B ) for the Hadamard product of two nonnegative matrices (A and B) and the minimum eigenvalue τ ( C ? D ) of the Fan product of two ... See full document
10
New upper bounds for \(\|A^{ 1}\| {\infty}\) of strictly diagonally dominant M matrices
... A new upper bound for the infinity norm of inverse matrix of a strictly diagonally dominant M-matrix is given, and the lower bound for the minimum eigenvalue of the matrix is ...dominant ... See full document
8
Some New Bounds for the Hadamard Product of a Nonsingular M-matrix and Its Inverse
... of two nonnegative matrices and the Fan product of two M-matrices are two special matrices ...upper bounds for the spectral radius ρ(A ◦ B) of the Hadamard product of two ... See full document
10
Some inequalities for the Hadamard product of an M matrix and an inverse M matrix
... and can serve as a check of whether the solution technique for it actually resulted in valid solution. Besides, a good bound of q(A ◦ B – ) can also help us reduce the computational burden. Therefore, it is necessary to ... See full document
10
Some new estimations for the upper and lower bounds for the spectral radius of nonnegative matrices
... some new upper bounds on the spectral radius of the Hadamard product of two nonnegative matrices and some upper and lower bounds on the spectral radius of the iterative matrix of a ... See full document
14
Lower bounds: from circuits to QBF proof systems
... QBF: new QBF proof ...Our new system P + ∀red uses all the rules from P, and can apply those on arbitrary lines, irrespective of whether the variables are existentially or universally ... See full document
29
Two S type Z eigenvalue inclusion sets for tensors
... general tensors and obtain two new S-type Z-eigenvalue inclusion ...upper bounds on the spectral radius of weakly symmetric nonnegative tensors and show that the results are ... See full document
12
Some inequalities for the minimum eigenvalue of the Hadamard product of an M matrix and its inverse
... AMS Subject Classification: 15A18; 15A42 Keywords: Hadamard product; M-matrix; inverse M-matrix; strictly diagonally dominant matrix; eigenvalue.. This is an Open Access article distribut[r] ... See full document
9
p Norm SDD tensors and eigenvalue localization
... Based on this multiplication of tensors, Kannan, Shaked-Monderer, and Berman [] established a necessary and sufficient condition for a tensor to be a strong H-tensor. Lemma [] Let A ∈ C [m,n] . Then A ... See full document
13
Some bounds for the Z eigenpair of nonnegative tensors
... tensor eigenvalue theory has attracted great attention and developed rapidly over the last ...an eigenvalue or eigenvector of a higher-order tensor, it is necessary to solve a sys- tem of higher-degree ... See full document
14
Functional Encryption: New Perspectives and Lower Bounds
... The IND-(U)SIM Conundrum. From a definitional stand-point, SIM/USIM-based security notions are preferable to IND-based security notion, as they offer a stronger security guarantee that has a natural, intuitive and ... See full document
21
GMRES convergence bounds for eigenvalue problems
... convergence bounds in [6] for MINRES (see [19]) ap- plied within inverse iteration for symmetric matrices, and Theorem ...generalized eigenvalue prob- lems using the Schur ... See full document
23
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