Obere Schranken für Eigenwerte von Eigenwertaufgaben der Form (...2 I Â?...A Â? B) x = 0 . - Upper Bounds for Eigenvalues of Quadratic Eigenvalue Problem.
On a Class of Jacobi-Like Procedures for Diagonalising Arbitrary Real Matrices.
On a class of nonlinear eigenvalue problems
On a devil’s staircase associated to the joint spectral radii of a family of pairs of matrices
The joint spectral radius of a finite set of real matrices is defined to be the maximum possible exponential rate of growth of products of matrices drawn from that set. In previous work with K. G. Hare and J. Theys we showed that for a certain one-parameter family of pairs of matrices, this maximum possible rate of growth is attained along Sturmian sequences with a certain characteristic ratio which depends continuously upon the parameter. In this note we answer some open questions from that paper...
On a Lyapunov type equation related to parabolic spectral dichotomy.
On a New Class of Elementary Matrices.
On Condition Numbers and the Distance to the Nearest Ill-posed Problem.
On condition numbers of a nondefective multiple eigenvalue.
On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications
We consider a k-tridiagonal ℓ-Toeplitz matrix as one of generalizations of a tridiagonal Toeplitz matrix. In the present paper, we provide a decomposition of the matrix under a certain condition. By the decomposition, the matrix is easily analyzed since one only needs to analyze the small matrix obtained from the decomposition. Using the decomposition, eigenpairs and arbitrary integer powers of the matrix are easily shown as applications.
On Efficient Implementations of Kogbetliantz's Algorithm for Computing the Singular Value Decomposition.
On graded QR decompositions of products of matrices.
On Minimal Gerschgorin Sets for Families of Norms.
On Neighbouring Matrices with Quadratic Elementary Divisors.
On quadratic convergence bounds for the J-symmetric Jacobi method.
On relations between right and left eigenvectors of nonselfadjoint matrix pencils
On sharp quadratic convergence bounds for the serial Jacobi methods.
On Some new Inclusion Theorems for the Eigenvalues of Partitioned Matrices.
On spectral variations under bounded real matrix perturbations.
On the Approximative Construction of the Eigenvectors Corresponding to a Pair of Complex Conjugated Eigenvalues
On the Computation of Inclusion Regions for Partitioned Matrices.