Matrixtransformationen von unvollstl;ndigen Folgenräumen.
Maximal invariant neutral subspaces and an application to the algebraic Riccati equation.
Minimal distortion problems for classes of unitary matrices.
Monotone Norms.
Monotonicity of the maximum of inner product norms
Let be the field of real or complex numbers. In this note we characterize all inner product norms on for which the norm on is monotonic.
Multiplicative maps on invertible matrices that preserve matricial properties.
Newton iteration for the closest normal matrix of order two.
Nonexpansive matrices with applications to solutions of linear systems by fixed point iterations.
Non-Replaceable Matrices.
Norm Bounds for Rational Matrix Functions.
Norm estimates for functions of two commuting matrices.
Norm estimates for functions of two non-commuting matrices.
Norm Estimates for Inverses of Vandermonde Matrices.
Norm estimates for the inverses of matrices of monotone type and totally positive matrices.
Norms and Determinants of Linear Mappings.
Numerical computation of an analytic singular value decomposition of a matrix valued function.
Numerical radius inequalities for 2 × 2 operator matrices
We derive several numerical radius inequalities for 2 × 2 operator matrices. Numerical radius inequalities for sums and products of operators are given. Applications of our inequalities are also provided.
Numerical ranges of an operator on an indefinite inner product space.
Obtaining bounds on the two norm of a matrix from the splitting lemma.
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...