AbstractLet A be a complex n×n matrix. We find lower bounds for its numerical radius r(A)=max{|x∗Ax|∣x∈Cn,x∗x=1}. First we choose x satisfying x∗x=1 and compute ∣x∗Ax∣. We also improve the simple bound so obtained. Second, we applyr(A)=maxλzA+z¯A∗2z∈C,|z|=1where λ denotes the largest eigenvalue
AbstractUpper bounds for the spectral variation of two regular matrix pairs have been given in [Guox...
AbstractLet A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for ‖A-1‖...
AbstractFor the generalized eigenvalue problem, we establish upper bounds for the spectral variation...
AbstractThe spread of an n×n matrix A with eigenvalues λ1,…,λn is defined by sprA=maxj,k|λj−λk|. We ...
AbstractLet A be an n×n matrix with singular values σ1⩾⋯⩾σn. If 1⩽r⩽n, then σr=minH∈Sr‖H‖, where Sr ...
AbstractLet A be an n×n matrix with eigenvalues λ1,λ2,…,λn, and let m be an integer satisfying rank(...
AbstractWe consider lower bounds for the largest eigenvalue of a symmetric matrix. In particular we ...
AbstractIf A and B are n×n nonsingular M-matrices, a lower bound on the smallest eigenvalue τ(A☆B) f...
AbstractLet A be a weakly chained diagonally dominant (wcdd) M-matrix, an upper bound for ‖A-1‖∞ is ...
AbstractA new lower bound on the smallest eigenvalue τ(A★B) for the Fan product of two nonsingular M...
AbstractWe provide a method for improving bounds for nonmaximal eigenvalues of positive matrices. A ...
AbstractIn this work, we improve the lower and upper bounds obtained by Zhang and Luo [X. Zhang, R. ...
AbstractLet A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for A-1∞....
AbstractIn this paper, we present a sharp version of Bauer–Fike’s theorem. We replace the matrix nor...
AbstractSome new lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and ...
AbstractUpper bounds for the spectral variation of two regular matrix pairs have been given in [Guox...
AbstractLet A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for ‖A-1‖...
AbstractFor the generalized eigenvalue problem, we establish upper bounds for the spectral variation...
AbstractThe spread of an n×n matrix A with eigenvalues λ1,…,λn is defined by sprA=maxj,k|λj−λk|. We ...
AbstractLet A be an n×n matrix with singular values σ1⩾⋯⩾σn. If 1⩽r⩽n, then σr=minH∈Sr‖H‖, where Sr ...
AbstractLet A be an n×n matrix with eigenvalues λ1,λ2,…,λn, and let m be an integer satisfying rank(...
AbstractWe consider lower bounds for the largest eigenvalue of a symmetric matrix. In particular we ...
AbstractIf A and B are n×n nonsingular M-matrices, a lower bound on the smallest eigenvalue τ(A☆B) f...
AbstractLet A be a weakly chained diagonally dominant (wcdd) M-matrix, an upper bound for ‖A-1‖∞ is ...
AbstractA new lower bound on the smallest eigenvalue τ(A★B) for the Fan product of two nonsingular M...
AbstractWe provide a method for improving bounds for nonmaximal eigenvalues of positive matrices. A ...
AbstractIn this work, we improve the lower and upper bounds obtained by Zhang and Luo [X. Zhang, R. ...
AbstractLet A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for A-1∞....
AbstractIn this paper, we present a sharp version of Bauer–Fike’s theorem. We replace the matrix nor...
AbstractSome new lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and ...
AbstractUpper bounds for the spectral variation of two regular matrix pairs have been given in [Guox...
AbstractLet A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for ‖A-1‖...
AbstractFor the generalized eigenvalue problem, we establish upper bounds for the spectral variation...
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