Includes bibliographical references.

Structured matrices, reproducing kernels and interpolation ; A superfast algorithm for confluent rational tangential interpolation problem via matrixvector multiplication for confluent Cauchylike matrices ; The maximalvolume concept in approximation by lowrank matrices ; A matrix interpretation of the extended Euclidean algorithm ; The essential polynomial approach to convergence of matrix Pade approximants ; Systems of low Hankel rank: a survey ; Tensor approximation and signal processing applications ; Exploiting Toeplitzlike structure in adaptive filtering algorithms using signal flow graphs ; The structured total least squares problem ; Exploiting Toeplitz structure in atmospheric image restoration ; A survey of model reduction methods for largescale systems ; Theory and computations of some inverse eigenvalue problems for the quadratic pencil ; Partial eigenvalue assignment for large linear control systems ; A hybrid method for the numerical solution of discretetime algebraic Riccati equations ; Condition numbers of large Toeplitzlike matrices ; How bad are symmetric Pick matrices? ; Spectral properties of real Hankel matrices ; Conjectures and remarks on the limit of the spectral radius of nonnegative and block Toeplitz matrices Harry Dym ; Vadim Olshevsky and Amin Shokrollahi ; S A Goreinov and E E Tyrtyshnikov ; Martin H Gutknecht ; Victor M Adukov ; P Dewilde ; Eleftherios Kofidis and Phillip A Regalia ; I K Proudler ; Nicola Mastronardi Philippe Lemmerling and Sabine Van Huffel ; W K Cochran R J Plemmons and T C Torgersen ; A C Antoulas D C Sorensen and S Gugercin ; Biswa N Datta and Daniil R Sarkissian ; D Calvetti B Lewis and L Reichel ; Heike Fabender and Peter Benner ; A Bottcher and S Grudsky ; Dario Fasino and Vadim Olshevsky ; Miroslav Fiedler ; Ludwig Elsner and S Friedland