Reliable Numerical Computation.
Axel Ruhe, M G Cox, Sven J. Hammarling · Mathematics of Computation · 1992
List of contributors Gene Golub: Prologue: Reflections on Jim Wilkinson Beresford Parlett: Misconvergence in the Lanczos algorithm Charles L. Lawson & Kajal K. Gupta: The Lanczos algorithm for a pure imaginary Hermitian matrix James Demmel: Nearest defective matrices and the geometry of ill-conditioning Theo Beelen & Paul Van Dooren: Computational aspects of the Jordan canonical form C.C. Paige: Some aspects of generalized QR factorizations I.S. Duff, N.I.M. Gould, M. Lescrenier, & J.K. Reid: The multifrontal method in a parallel environment Philip E. Gill, Walter Murray, Michael A. Saunders, & Margaret H. Wright: A Schur-complement method for sparse quadratic programming Francoise Chatelin & Marie Christine Brunet: A probabilistic round-off error propagation model application to the eigenvalue problem Nicholas J. Higham: Analysis of the Cholesky decomposition of a semi-definite matrix James M. Varah: On the conditioning of parameter estimation problems F.W.J. Olver: Rounding errors in algebriac process - in level-index arithmetic Mario Arioli & Iain S. Duff: Experiments in tearing large sparse systems M.G. Cox: The least-squares solution of linear equations with block-angular observation matrix G.W. Stewart: An iterative method for solving linear inequalities Ake Bjoerck Advances in reliable numerical computing Christian H. Reinsch: Software for shape-preserving spline interpolation D.A.H. Jacobs & G Markham: Experiences with some software engineering practices in numerical software Jack Dongarra & Sven Hammarling: Evolution of numerical software for dense linear algebra L. Fox: Epilogue: Jim Wilkinson some after-dinner sentiments.