[PDF] Top 20 Some new estimations for the upper and lower bounds for the spectral radius of nonnegative matrices

... a nonnegative (positive) matrix. The spectral radius of A is denoted by ...a nonnegative matrix, the Perron-Frobenius theorem (see []) guarantees that ρ(A) ∈ σ (A), where σ (A) is the set of ... See full document

... paper, some estimations for the spectral radius of nonnegative matrices and the smallest eigenvalue of M-matrices are given by matrix directed graphs and their k-path ... See full document

... two nonnegative matrices and the Fan product of two M-matrices are two special matrices ...The upper bounds for the spectral radius ρ(A ◦ B) of the Hadamard product ... See full document

... the spectral norm and nuclear norm of a tensor are closely related to the num- ber field [6], for the sake of simplicity, we always assume that the tensors discussed are nonzero real tensors, and unless mentioned ... See full document

... obtain new upper and lower bounds for the spectral norms of the r- circulant matrices Q and L whose entries are the biperiodic Fibonacci and biperiodic Lucas ...the ... See full document

... give some new sharp upper and lower bounds for the spectral radius of a nonnegative irreducible ...these bounds, we obtain some new and ... See full document

... recollect some useful lemmas on tensors which are utilized in the next ...a new S- type eigenvalue inclusion set for tensors is given, and proved to be tighter than the existing ones derived in Lemmas ...a ... See full document

... A lower bound and an upper bound for the spectral radius for nonnegative tensors are ...the new bounds are sharper than the corresponding bounds obtained by Yang ... See full document

... 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 ... See full document

... 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 ... See full document

... with some commonly chosen values have also been studied by many researchers in recent ...those matrices based on the special ...the spectral norms of circulant matrices and r- circulant ... See full document

... 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 ... See full document

... two new S-type Z-eigenvalue inclusion ...present upper bounds on the spectral radius of weakly symmetric nonnegative tensors and show that the results are sharper than the ... See full document

... obtained some improved reverses of Young type inequalities for matrices, Zou and Peng [] presented some trace inequalities for matrix means, Zou and Jiang [] gave a note on interpolation between ... See full document

... several new estimates for the diagonally dominant degree of the Perron complement of ...propose some estimates for the γ-diagonally and product γ-diagonally degree for the Perron complement of ... See full document

... tally nonnegative, and if every square submatrix has nonnegative ...positive matrices are obtained by restricting certain kernels to appropriate fi- nite subsets of R (see, for example, Ando ([1], ... See full document

... other upper and lower bounds for the spectral norms of r-circulant matrices associated with the k-Fibonacci and k-Lucas numbers, ...the spectral norm, eigenvalues and determinant ... See full document

... the lower and upper bounds of the ratio of eigenvalues of arrowhead matrices associated with hub matrices and wireless com- munication systems [9], and subsequently, we make those ... See full document

... analogously. This topological index was introduced by Padmakar Khadikar [10,11]. The mathematical properties of this new index can be found in recent papers, [1,4,5,7,8,19]. There is a vertex version of this ... See full document

... the spectral radius of non-negative matrices, some new sufficient conditions for global exponential stability of the impulsive difference equa- tions with distributed delays are ... See full document