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
AbstractIndefinite versions of classical results of Schur, Ky Fan and Rayleigh-Ritz on Hermitian mat...
AbstractLet H be a Hermitian matrix, X an orthonormal matrix, and M = X∗HX. Then the eigenvalues of ...
AbstractGiven Hermitian matrices A and B, Professor Taussky-Todd posed the problem of estimating the...
AbstractSome simple lower bounds for the spread of a Hermitian matrix are derived. These bounds are ...
AbstractThe spread of a matrix (polynomial) is defined as the maximum distance between two of its ei...
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 well-known Cauchy theorem connects the eigenvalues of a Hermitian matrix to the eigenval...
AbstractThe spread of a matrix (or polynomial) is the maximum distance between any two of its eigenv...
AbstractKahan's results on the perturbation of the eigenvalues of a hermitian matrix A affected by a...
AbstractBounds for various functions of the eigenvalues of a Hermitian matrix A, based on the traces...
AbstractIn this paper, we exhibit new and sharper upper bounds of the spread of a matrix
AbstractThe spread s(M) of an n×n complex matrix M is s(M)=maxij|λi-λj|, where the maximum is taken ...
AbstractSome trace inequalities for Hermitian matrices and matrix products involving Hermitian matri...
AbstractIn this paper, we introduce an improved bound on the 2-norm of Hermite matrix polynomials. A...
AbstractIndefinite versions of classical results of Schur, Ky Fan and Rayleigh-Ritz on Hermitian mat...
AbstractLet H be a Hermitian matrix, X an orthonormal matrix, and M = X∗HX. Then the eigenvalues of ...
AbstractGiven Hermitian matrices A and B, Professor Taussky-Todd posed the problem of estimating the...
AbstractSome simple lower bounds for the spread of a Hermitian matrix are derived. These bounds are ...
AbstractThe spread of a matrix (polynomial) is defined as the maximum distance between two of its ei...
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 well-known Cauchy theorem connects the eigenvalues of a Hermitian matrix to the eigenval...
AbstractThe spread of a matrix (or polynomial) is the maximum distance between any two of its eigenv...
AbstractKahan's results on the perturbation of the eigenvalues of a hermitian matrix A affected by a...
AbstractBounds for various functions of the eigenvalues of a Hermitian matrix A, based on the traces...
AbstractIn this paper, we exhibit new and sharper upper bounds of the spread of a matrix
AbstractThe spread s(M) of an n×n complex matrix M is s(M)=maxij|λi-λj|, where the maximum is taken ...
AbstractSome trace inequalities for Hermitian matrices and matrix products involving Hermitian matri...
AbstractIn this paper, we introduce an improved bound on the 2-norm of Hermite matrix polynomials. A...
AbstractIndefinite versions of classical results of Schur, Ky Fan and Rayleigh-Ritz on Hermitian mat...
AbstractLet H be a Hermitian matrix, X an orthonormal matrix, and M = X∗HX. Then the eigenvalues of ...
AbstractGiven Hermitian matrices A and B, Professor Taussky-Todd posed the problem of estimating the...
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