[PDF] Top 20 Some new inequalities for the minimum eigenvalue of M matrices
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Some new inequalities for the minimum eigenvalue of M matrices
... positive real number ε, sufficiently small such that all the leading principal minors of B+εT are positive. Now, we substitute A– εT and B +εT for A and B, respectively, in the previous case, and then letting ε → , the ... See full document
7
Several new inequalities for the minimum eigenvalue of M matrices
... the minimum eigenvalue of M-matrices are ...improve some existing ...than some known results and could reach the true value of the minimum eigenvalue in some ... See full document
9
Some new inequalities for the Hadamard product of M matrices
... an M-matrix if there exists an n × n nonnegative matrix B and a nonnegative real number λ such that A = λI – B and λ ≥ ρ(B), I is the iden- tity matrix; if λ > ρ(B), we call A a nonsingular M-matrix; if ... See full document
10
New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices
... 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 ...Finally, some ... See full document
11
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
New inequalities for the Hadamard product of an M matrix and an inverse M matrix
... nonsingular M-matrices for any chosen positive real number ε, sufficiently small such that all the leading principal minors of both A – εC and B – εC are ... See full document
9
Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices
... paper, some mixed 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
Some New Bounds for the Hadamard Product of a Nonsingular M-matrix and Its Inverse
... nonnegative matrices and the Fan product of two M-matrices are two special matrices ...nonnegative matrices A and B, the lower bounds for the minimum eigenvalue τ(A ◦ B −1 ... See full document
10
New norm equalities and inequalities for operator matrices
... El-Haddad, M, Kittaneh, F: Numerical radius inequalities for Hilbert space ...on some inequalities for Hilbert space ...G: Inequalities, 2nd ...and inequalities for operator ... See full document
9
Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices
... Let A, B ∈ C n×n be Hermitian matrices with B being positive definite. We now consider a perturbation problem for Ax = λBx. It is known that the n generalized eigenvalues of the matrix pencil A, B are real numbers ... See full document
6
On some trace inequalities for positive definite Hermitian matrices
... mitian matrices have caught the attention of scholars, getting a lot of interesting ...with some elementary inequalities, our purpose is to derive some new results on the trace ... See full document
6
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
A class of ℐ conservative matrices
... In this paper, we have characterized a class of matrices A ∈ c,FᏵ b by studying some new inequalities related to the Ᏽ-limit superior and limit inferior.... A class of Ᏽ-conservative mat[r] ... See full document
10
Some reverse mean inequalities for operators and matrices
... present some new reverse arithmetic–geometric mean inequalities for operators and matrices due to Lin ...other inequalities, we prove that if A, B ∈ B( H ) are accretive and 0 < mI ≤ ... See full document
12
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
Unitarily invariant norm inequalities involving Heron and Heinz means
... present some new inequalities for unitarily invariant norms involving Heron and Heinz means for matrices, which generalize the result of Theorem ...of some existing ... See full document
7
Two new lower bounds for the minimum eigenvalue of M tensors
... the minimum eigen- value of M-tensors, give two new lower bounds for the minimum eigenvalue, and prove that the two new lower bounds are better than that in Theorem and one of ... See full document
9
Some inequalities for the minimum eigenvalue of the Hadamard product of an M matrix and an inverse M matrix
... the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix are ...the minimum eigenvalue in some ...improve some existing ... See full document
9
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
Some new refinements of Heinz inequalities of matrices
... Firstly, a new refinement of the Heinz inequality is given. Then, by using the inequality, some new refinements of Heinz inequalities of matrices are given. Lastly, we declare that the ... See full document
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