Includes bibliographical references.

The Schur algorithm for matrices with Hessenberg displacement structure ; Fast inversion algorithms for a class of block structured matrices ; A fast and stable solver for recursively semiseparable systems of linear equations ; Stability properties of several variants of the unitary Hessenberg R algorithm ; Comparison of algorithms for Toeplitz least squares and symmetric positive definite linear systems ; Stability of Toeplitz matrix inversion formulas ; Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices ; Updating and downdating of orthonormal polynomial vectors and some applications ; Rankrevealing decompositions of symmetric Toeplitz matrices ; A survey of preconditioners for illconditioned Toeplitz systems ; Preconditioning of Hermitian blockToeplitzToeplitzblock matrices by level1 preconditioners ; Approximate displacement rank and applications ; Properties of some generalizations of KacMurdockSzego matrices ; Efficient inversion formulas for ToeplitzplusHankel matrices using trigonometric transformations ; On a generalization of Poincare's theorem for matrix difference equations arising from rootfinding problems ; Completions of triangular matrices: a survey of results and open problems ; Positive representation formulas for finite difference discretizations of (elliptic) second order PDEs ; On some problems involving invariant norms and Hadamard products ; A generalization of the PerronFrobenius theorem for nonlinear perturbations of Stiltjes matrices ; The rhombus matrix: definition and properties G Heinig and V Olshevsky ; Y Eidelman and I Gohberg ; S Chandrasekaran and Ming Gu ; Michael Stewart ; Myungwon Kim Haesun Park and Lars Elden ; Georg Heinig ; James Demmel and Plamen Koev ; Marc Van Barel and Adhemar Bultheel ; Per Christian Hansen and Plamen Yalamov ; Raymond H Chan Michael K Ng and Andy M Yip ; Daniel Potts and Gabriele Steidl ; Dario Andrea Bini and Beatrice Meini ; William F Trench ; Georg Heinig and Karla Rost ; Luca Gemignani ; Leiba Rodman ; S Serra Capizzano and C Tablino Possio ; Paolo Tilli ; Y S Choi I Koltracht and P J McKenna ; M J C Gover and A M Byrne