AbstractIf there exists a small perturbation such that the equality sign holds in the Bauer-Fike inequality using p norms, then the unperturbed matrix is either diagonal or normal. This converse result can not be extended to all axis-oriented norms
AbstractIf A,B are irreducible, nonnegative n×n matrices with a common right eigenvector and a commo...
AbstractLet A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12 and the norm o...
AbstractAn estimate for the norm of the solution to the equation AX−XB=S obtained by R. Bhatia, C. D...
AbstractIf there exists a small perturbation such that the equality sign holds in the Bauer-Fike ine...
AbstractIt is proved that the unperturbed matrix pencil is a normal pencil if there exists a small p...
It is proved that the unperturbed matrix pencil is a normal pencil if there exists a small perturbat...
AbstractIt is proved that the unperturbed matrix pencil is a normal pencil if there exists a small p...
AbstractLet A=(A1,…,Am) and B=(B1,…,Bm) be m-tuples commuting n by n self-adjoint matrices. We obtai...
AbstractFor the eigenvalues λi of an n × n matrix A the inequality ∑i|λi|2(‖A‖4 − 12‖D‖2)12 is prove...
. We show that three well-known perturbation bounds for matrix eigenvalues imply relative bounds: th...
AbstractWe discuss an extension of a theorem which is apparently due to Feingold. Both the theorem a...
AbstractWe sketch some recent results in the perturbation theory of the matrix eigenvalue problems A...
In this paper, we study the Bauer-Fike type theorems for regular matrix pairs and its general form. ...
AbstractIn this paper, we present a sharp version of Bauer–Fike’s theorem. We replace the matrix nor...
AbstractIt is shown that for two square matrices A and B with algebraic elements, eAeB=eBeA if and o...
AbstractIf A,B are irreducible, nonnegative n×n matrices with a common right eigenvector and a commo...
AbstractLet A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12 and the norm o...
AbstractAn estimate for the norm of the solution to the equation AX−XB=S obtained by R. Bhatia, C. D...
AbstractIf there exists a small perturbation such that the equality sign holds in the Bauer-Fike ine...
AbstractIt is proved that the unperturbed matrix pencil is a normal pencil if there exists a small p...
It is proved that the unperturbed matrix pencil is a normal pencil if there exists a small perturbat...
AbstractIt is proved that the unperturbed matrix pencil is a normal pencil if there exists a small p...
AbstractLet A=(A1,…,Am) and B=(B1,…,Bm) be m-tuples commuting n by n self-adjoint matrices. We obtai...
AbstractFor the eigenvalues λi of an n × n matrix A the inequality ∑i|λi|2(‖A‖4 − 12‖D‖2)12 is prove...
. We show that three well-known perturbation bounds for matrix eigenvalues imply relative bounds: th...
AbstractWe discuss an extension of a theorem which is apparently due to Feingold. Both the theorem a...
AbstractWe sketch some recent results in the perturbation theory of the matrix eigenvalue problems A...
In this paper, we study the Bauer-Fike type theorems for regular matrix pairs and its general form. ...
AbstractIn this paper, we present a sharp version of Bauer–Fike’s theorem. We replace the matrix nor...
AbstractIt is shown that for two square matrices A and B with algebraic elements, eAeB=eBeA if and o...
AbstractIf A,B are irreducible, nonnegative n×n matrices with a common right eigenvector and a commo...
AbstractLet A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12 and the norm o...
AbstractAn estimate for the norm of the solution to the equation AX−XB=S obtained by R. Bhatia, C. D...
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