This note presents a new result which defines disc regions, centered on the eigenvalues of the diagonal blocks of a general complex matrix, which contain the eigenvalues of the matrix. A result of this type is useful in the application of a generalized Nyquist type stability criterion to interconnected systems
For a square matrix A, let S(A) be an eigenvalue inclusion set such as the Gershgorin region, the un...
AbstractLet A be an arbitrary n×n matrix, partitioned so that if A=[Aij], then all submatrices Aii a...
We are interested in (approximate) eigenvalue inclusion regions for matrix pencils (A;B), in particu...
Abstract. The block analogues of the theorems on inclusion regions for the eigenvalues of normal mat...
AbstractWe review Lehmann’s inclusion bounds and provide extensions to general (non-normal) matrices...
Inclusion domains for the eigenvalues of a partitioned matrix are specified in terms of perturbation...
Let (λ, v) be a known real eigenpair of an n×n real matrix A. In this paper it is shown how to locat...
Abstract: New results on the regions that include the spectrum of a given matrix have recently appea...
We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin reg...
We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin reg...
We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin reg...
We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin reg...
Root clustering problems of matrices are considered. Here the conditions are given for eigenvalues o...
AbstractWe consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershg...
For a square matrix A, let S (A) be an eigenvalue inclusion set such as the Gershgorin region, the B...
For a square matrix A, let S(A) be an eigenvalue inclusion set such as the Gershgorin region, the un...
AbstractLet A be an arbitrary n×n matrix, partitioned so that if A=[Aij], then all submatrices Aii a...
We are interested in (approximate) eigenvalue inclusion regions for matrix pencils (A;B), in particu...
Abstract. The block analogues of the theorems on inclusion regions for the eigenvalues of normal mat...
AbstractWe review Lehmann’s inclusion bounds and provide extensions to general (non-normal) matrices...
Inclusion domains for the eigenvalues of a partitioned matrix are specified in terms of perturbation...
Let (λ, v) be a known real eigenpair of an n×n real matrix A. In this paper it is shown how to locat...
Abstract: New results on the regions that include the spectrum of a given matrix have recently appea...
We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin reg...
We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin reg...
We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin reg...
We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin reg...
Root clustering problems of matrices are considered. Here the conditions are given for eigenvalues o...
AbstractWe consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershg...
For a square matrix A, let S (A) be an eigenvalue inclusion set such as the Gershgorin region, the B...
For a square matrix A, let S(A) be an eigenvalue inclusion set such as the Gershgorin region, the un...
AbstractLet A be an arbitrary n×n matrix, partitioned so that if A=[Aij], then all submatrices Aii a...
We are interested in (approximate) eigenvalue inclusion regions for matrix pencils (A;B), in particu...