,

Reliable Numerical Computation

Gebonden Engels 1990 9780198535645
€ 176,50
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Samenvatting

A set of research papers that provide a survey of the state of the art in numerical analysis. The contributions derive from a conference in honour of Jim Wilkinson. The breadth of Wilkinson's research is reflected in the main themes covered: linear algebra, error analysis and computer arithmetic, algorithms and mathematical software.

Specificaties

ISBN13:9780198535645
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:356

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Inhoudsopgave

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; Françoise 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 Björck; 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.

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