DOIAbstract
AbstractFor the generalized eigenvalue problem, we establish upper bounds for the spectral variation of two regular matrix pairs some of which are optimal. We describe the set of regular matrix pairs for which the bounds are attained
AbstractFor the generalized eigenvalue problem, we establish upper bounds for the spectral variation of two regular matrix pairs some of which are optimal. We describe the set of regular matrix pairs for which the bounds are attained
AbstractThis paper is devoted to perturbation analysis for the eigenproblem of periodic matrix pairs...
AbstractLet A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for A-1∞....
AbstractLet Ej be the eigenvalues outside [-2,2] of a Jacobi matrix with an-1∈ℓ2 and bn→0, and μ′ th...
AbstractUpper bounds for the spectral variation of two regular matrix pairs have been given in [Guox...
AbstractIn this paper, we present a sharp version of Bauer–Fike’s theorem. We replace the matrix nor...
AbstractIn 2005, Böttcher and Wenzel raised the conjecture that if X,Y are real square matrices, the...
We study an eigenvalue problem for the Laplace operator with a boundary condition containing a param...
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
AbstractWe present explicit formulae which allow us to construct elliptic matrices with zero diagona...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
AbstractIn 1985, Elsner proved that the Hausdorff distance Δ between the spectra of two n×n matrices...
AbstractIn this short note, it is proved that given any positive definite Hermitian matrix, the eige...
AbstractLet A be an n×n matrix with singular values σ1⩾⋯⩾σn. If 1⩽r⩽n, then σr=minH∈Sr‖H‖, where Sr ...
AbstractLetA=H1E∗EH2andA∼=H1OOH2 be Hermitian matrices with eigenvalues λ1⩾⋯⩾λk and λ∼1⩾⋯⩾λ∼k, respe...
AbstractThe numerical-analytic method is applied to a class of nonlinear differential-algebraic syst...
AbstractThis paper is devoted to perturbation analysis for the eigenproblem of periodic matrix pairs...
AbstractLet A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for A-1∞....
AbstractLet Ej be the eigenvalues outside [-2,2] of a Jacobi matrix with an-1∈ℓ2 and bn→0, and μ′ th...
AbstractUpper bounds for the spectral variation of two regular matrix pairs have been given in [Guox...
AbstractIn this paper, we present a sharp version of Bauer–Fike’s theorem. We replace the matrix nor...
AbstractIn 2005, Böttcher and Wenzel raised the conjecture that if X,Y are real square matrices, the...
We study an eigenvalue problem for the Laplace operator with a boundary condition containing a param...
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
AbstractWe present explicit formulae which allow us to construct elliptic matrices with zero diagona...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
AbstractIn 1985, Elsner proved that the Hausdorff distance Δ between the spectra of two n×n matrices...
AbstractIn this short note, it is proved that given any positive definite Hermitian matrix, the eige...
AbstractLet A be an n×n matrix with singular values σ1⩾⋯⩾σn. If 1⩽r⩽n, then σr=minH∈Sr‖H‖, where Sr ...
AbstractLetA=H1E∗EH2andA∼=H1OOH2 be Hermitian matrices with eigenvalues λ1⩾⋯⩾λk and λ∼1⩾⋯⩾λ∼k, respe...
AbstractThe numerical-analytic method is applied to a class of nonlinear differential-algebraic syst...
AbstractThis paper is devoted to perturbation analysis for the eigenproblem of periodic matrix pairs...
AbstractLet A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for A-1∞....
AbstractLet Ej be the eigenvalues outside [-2,2] of a Jacobi matrix with an-1∈ℓ2 and bn→0, and μ′ th...
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