… We then reformulate (5.1) as a standard Hermitian eigenvalue problem with the matrix C as
described in the previous subsection (5.5), possibly after making B positive definite as noted …

… of the generalized Hermitian eigenvalue problem Ax = λBx, with A Hermitian and B Hermitian
… provide insight into the accuracy of the eigenvalue calculations. The error analysis shows …

… where A and B are Hermitian matrices of order n. When B is … problem can be reduced to a
Hermitian eigenvalue problem of … eigenvalues of the definite generalized eigenvalue problem. …

… spectral properties of boundary value problems for some differential operators. Recently the
apparatus of the theory of extensions have found interesting applications to the problems of …

… We discuss convergence of Ritz values for generalized eigenvalue problems. A famous
theorem by Hermann Weyl [116] is the basis for our estimates of the error in the eigenvalues. It …

… In this paper, we will study two problems related to Hermitian and generalized … problem
is a kind of inverse eigenvalue problem. For decades, structured inverse eigenvalue problems …

… results for a multiple eigenvalue in generalized Hermitian eigenvalue problems. To our …
of the standard eigenvalue problem, different condition numbers of a multiple eigenvalue are …

… solution of the indefinite generalized Hermitian eigenvalue problem. We discuss a method
… like methods based on the solution of non-Hermitian 2 × 2 subproblems. For these methods …

… the corresponding generalized eigenvectors as the columns of X. In this paper, we focus
on Step 2. For the other two forms of the generalized Hermitian eigenvalue problem this step …

… generalized eigenvalue problems. In §8.2, a brief sketch of what is called the QZ algorithm for
the generalized eigenvalue problem … most powerful method for dense problems and it is an …