Foreword: Numerical Analysis 2000. Vol. III: Linear Algebra (A. Hadjidimos, H. van der Vorst, P. Van Dooren). Iterative solution of linear systems in the 20th century (Y. Saad, H.A. van der Vorst). Eigenvalue computation in the 20th century (G.H. Golub, H.A. van der Vorst). QR-like algorithms for eigenvalue problems (D.S. Watkins). The ubiquitous Kronecker product (C.F. Van Loan). Preconditioning eigenvalues and some comparison of solvers (R.B. Morgan). For tridiagonals T replace T with LDLt (B.N. Parlett). An overview of relative sin &THgr; theorems for invariant subspaces of complex matrices (I.C.F. Ipsen). The trace minimization method for the symmetric generalized eigenvalue problem (A. Sameh, Z. Tong). Successive overrelazation (SOR) and related methods (A. Hadjidimos). On asynchronous iterations (A. Frommer, D.B. Szyld). Iterative methods for large continuation problems (D. Calvetti, L. Reichel). The matrix and polynomial approaches to Lanczos-type algorithms (C. Brezinski, M. Redivo-Zaglia, H. Sadok). Analysis of acceleration strategies for restarted minimal residual methods (M. Eiermann, O.G. Ernst, O. Schneider). Refining an approximate inverse (R. Bridson, W.-P. Tang). Scalable preconditioned conjugate gradient inversion of vector finite element mass matrices (J. Koning, G. Rodrigue, D. White). Robust multigrid methods for nonsmooth coefficient elliptic linear systems (T.F. Chan, W.L. Wan). The Rook's pivoting strategy (G. Poole, L. Neal). Numerical methods in control (V. Mehrman, H. Xu). Krylov-subspace methods for reduced-order modeling in circuit simulation (R.W. Freund). Tikhonov regularization and the L-curve for large discrete ill-posed problems (D. Calvetti, S. Morigi, L. Reichel, F. Sgallari). Symbiosis between linear algebra and optimization (D.P. O'Leary). Some computational problems arising in adaptive optics imaging systems (R.J. Plemmons, V.P. Pauca). Numerical linear algebra algorithms and software (J.J. Dongarra, V. Eijkhout). The impact of high-performance computing in the solution of linear systems: trends and problems (I.S. Duff).
