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Analysis of sparse elimination
An error analysis is presented for Gaussian elimination when the matrix is arbitrarily sparse. Error analyses for elimination on band matrices and full matrices follow as special cases.
Sparse Matrix Computations
Sparse Matrix Computations is a collection of papers presented at the 1975 Symposium by the same title, held at Argonne National Laboratory. This book is composed of six parts encompassing 27 chapters that contain contributions in several areas of matrix computations and some of the most potential research in numerical linear algebra. The papers are organized into general categories that deal, respectively, with sparse elimination, sparse eigenvalue calculations, optimization, mathematical software for sparse matrix computations, partial differential equations, and applications involving sparse matrix technology. This text presents research on applied numerical analysis but with considerable influence from computer science. In particular, most of the papers deal with the design, analysis, implementation, and application of computer algorithms. Such an emphasis includes the establishment of space and time complexity bounds and to understand the algorithms and the computing environment. This book will prove useful to mathematicians and computer scientists.
The Searcher
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Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
The Rotarian
Established in 1911, The Rotarian is the official magazine of Rotary International and is circulated worldwide. Each issue contains feature articles, columns, and departments about, or of interest to, Rotarians. Seventeen Nobel Prize winners and 19 Pulitzer Prize winners – from Mahatma Ghandi to Kurt Vonnegut Jr. – have written for the magazine.
Moderan
A collection of chilling and prescient stories about ecological apocalypse and the merging of human and machine. Welcome to Moderan, world of the future. Here perpetual war is waged by furious masters fighting from Strongholds well stocked with “arsenals of fear” and everyone is enamored with hate. The devastated earth is coated by vast sheets of gray plastic, while humans vie to replace more and more of their own “soft parts” with steel. What need is there for nature when trees and flowers can be pushed up through holes in the plastic? Who requires human companionship when new-metal mistresses are waiting? But even a Stronghold master can doubt the catechism of Moderan. Wanderers, p...
