AbstractSome simple lower bounds for the spread of a Hermitian matrix are derived. These bounds are explicit functions of the entries of the matrix, one of which is sharper than a recent result due to E. R. Barnes and A. J. Hoffman. Comparisons are made with several known results
For a given nonnegative n × n matrix A consider the following quantity s(Am):= mini,j(Am)ij maxi,j(A...
Let A be Hermitian and let the orthonormal columns of X span an approximate invariant subspace of X....
We present decay bounds for completely monotonic functions of Hermitian matrices, where the matrix a...
AbstractSome simple lower bounds for the spread of a Hermitian matrix are derived. These bounds are ...
AbstractIn this paper, we exhibit new and sharper upper bounds of the spread of a matrix
Let A be an n×n complex Hermitian matrix and let λ(A)=(λ1,…,λn)∈Rn denote the eigenvalues of A, coun...
AbstractThe spread of a matrix (polynomial) is defined as the maximum distance between two of its ei...
AbstractSharp lower bounds for the determinant and the trace of a certain class of hermitian matrice...
AbstractThe spread of a matrix (or polynomial) is the maximum distance between any two of its eigenv...
AbstractThe spread s(M) of an n×n complex matrix M is s(M)=maxij|λi-λj|, where the maximum is taken ...
AbstractUpper and lower bounds are obtained for the spread λ1−λn of the eigenvalues λ1⩾λ2⩾⋯⩾λn of th...
AbstractBeginning with a polynomial with real roots, a family of polynomials with degree reduced by ...
We introduce discrepancy values, quantities inspired by the notion of the spectral spread of Hermiti...
AbstractThe spread of a matrix (polynomial) is defined as the maximum distance between two of its ei...
... this paper bound the distance of the spectrum of M from the spectrum of A in terms of appropriat...
For a given nonnegative n × n matrix A consider the following quantity s(Am):= mini,j(Am)ij maxi,j(A...
Let A be Hermitian and let the orthonormal columns of X span an approximate invariant subspace of X....
We present decay bounds for completely monotonic functions of Hermitian matrices, where the matrix a...
AbstractSome simple lower bounds for the spread of a Hermitian matrix are derived. These bounds are ...
AbstractIn this paper, we exhibit new and sharper upper bounds of the spread of a matrix
Let A be an n×n complex Hermitian matrix and let λ(A)=(λ1,…,λn)∈Rn denote the eigenvalues of A, coun...
AbstractThe spread of a matrix (polynomial) is defined as the maximum distance between two of its ei...
AbstractSharp lower bounds for the determinant and the trace of a certain class of hermitian matrice...
AbstractThe spread of a matrix (or polynomial) is the maximum distance between any two of its eigenv...
AbstractThe spread s(M) of an n×n complex matrix M is s(M)=maxij|λi-λj|, where the maximum is taken ...
AbstractUpper and lower bounds are obtained for the spread λ1−λn of the eigenvalues λ1⩾λ2⩾⋯⩾λn of th...
AbstractBeginning with a polynomial with real roots, a family of polynomials with degree reduced by ...
We introduce discrepancy values, quantities inspired by the notion of the spectral spread of Hermiti...
AbstractThe spread of a matrix (polynomial) is defined as the maximum distance between two of its ei...
... this paper bound the distance of the spectrum of M from the spectrum of A in terms of appropriat...
For a given nonnegative n × n matrix A consider the following quantity s(Am):= mini,j(Am)ij maxi,j(A...
Let A be Hermitian and let the orthonormal columns of X span an approximate invariant subspace of X....
We present decay bounds for completely monotonic functions of Hermitian matrices, where the matrix a...