Titlebook: Recent Advances in Matrix and Operator Theory; Joseph A. Ball,Yuli Eidelman,James Rovnyak Conference proceedings 2008 Birkhäuser Basel 200

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On Embedding of the Bratteli Diagram into a Surface,se coding of geodesic lines, we establish a bijection between Bratteli diagrams of such algebras and measured foliations. This approach allows us to apply .-theory of operator algebras to prove a strict ergodicity criterion and Keane’s conjecture for the interval exchange transformations.

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Superfast Inversion of Two-Level Toeplitz Matrices Using Newton Iteration and Tensor-Displacement Sces that can be sufficiently accurately approximated by matrices of low Kronecker rank and involves a new class of tensor-displacement-rank structured (TDS) matrices. The complexity depends on the prescribed accuracy and typically is o(.) for matrices of order .

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On Generalized Numerical Ranges of Quadratic Operators,ge. The latter is described quantitatively, and based on that sufficient conditions are established under which the c-numerical range also is an ellipse. Several examples are considered, including singular integral operators with the Cauchy kernel and composition operators.

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Inverse Problems for First-Order Discrete Systems,lection coefficient function are also studied. An important role in the arguments is played by the state space method. We obtain formulas which are very similar to the formulas we have obtained earlier in the continuous case in our study of inverse problems associated to canonical differential expressions.

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The Numerical Range of a Class of Self-adjoint Operator Functions,cted parts of root zones are determined. It is proved that root zones, under some natural additional conditions which are satisfied for most of waveguide type multi-parameter spectral problems, are non-separated, i.e., they overlap.

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0255-0156 eflected in this collection of original articles. ...The volume is of a cross-disciplinary nature. A number of papers are devoted to the analysis and algorithms for matrices with quasiseparable structure which is an active area of concurrent research in numerical linear algebra..978-3-7643-8539-2Series ISSN 0255-0156 Series E-ISSN 2296-4878

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Image of a Jacobi Field,tral measure equals ρK. We state an analogue of the Wiener-Itô decomposition for ρK. Finally, we illustrate our constructions by offering a few examples and exploring a relatively transparent special case.

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A Perturbative Analysis of the Reduction into Diagonal-plus-semiseparable Form of Symmetric Matricelose to (part of) the spectrum of the given matrix. As an application, we provide new iterative schemes for the simultaneous refinement of the eigenvalues of a symmetric matrix, having quadratic convergence.