|
![]() |
|||
|
||||
OverviewFull Product DetailsAuthor: I. S. Duff (Rutherford Appleton Laboratory, CERFACS, Toulouse, France, and Strathclyde University) , A. M. Erisman (The Boeing Company, Seattle (retired) and Seattle Pacific University) , J. K. Reid (Rutherford Appleton Laboratory and Cranfield University)Publisher: Oxford University Press Imprint: Oxford University Press Edition: 2nd Revised edition Dimensions: Width: 16.10cm , Height: 2.90cm , Length: 23.50cm Weight: 0.884kg ISBN: 9780198508380ISBN 10: 0198508387 Pages: 450 Publication Date: 26 January 2017 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: To order ![]() Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents1: Introduction 2: Sparse matrices: storage schemes and simple operations 3: Gaussian elimination for dense matrices: the algebraic problem 4: Gaussian elimination for dense matrices: numerical considerations 5: Gaussian elimination for sparse matrices: an introduction 6: Reduction to block triangular form 7: Local pivotal strategies for sparse matrices 8: Ordering sparse matrices for band solution 9: Orderings based on dissection 10: Implementing Gaussian elimination without symbolic factorize 11: Implementing Gaussian elimination with symbolic factorize 12: Gaussian elimination using trees 13: Graphs for symmetric and unsymmetric matrices 14: The SOLVE phase 15: Other sparsity-oriented issues A: Matrix and vector norms B: Pictures of sparse matrices C: Solutions to selected exercisesReviews[T]his book is a well written and authoritative reference that should be of interest to anyone involved in the implementation of sparse LU factorization software * Brian Borchers, MAA Reviews * This is a thorough and thoughtful revision of a classic text, bringing it up to date with respect to subsequent developments in the field whilst retaining the qualities of the first edition. * James Andrew J. Hall, Mathematical Reviews * [T]his book is a well written and authoritative reference that should be of interest to anyone involved in the implementation of sparse LU factorization software * Brian Borchers, MAA Reviews * Review from previous edition 'an outstanding contribution to the literature on sparse matrices...a valuable addition to the bookshelf of every reader interested in the solution of large sparse problems.' SIAM Review '... strongly recommended to everyone involved in the study of sparsity problems as well as those who have to solve their own problems which need the use of sparse techniques.' Automatica 'the present book makes ... digestable reading and may by its practical attitude and many methods and examples contribute to the cogent solution of linear systems.' Monatshefte fur Mathematik Author InformationI. S. (Iain) Duff is an STFC Senior Fellow in the Scientific Computing Department at the STFC Rutherford Appleton Laboratory in Oxfordshire, England. He is also the Scientific Advisor for the Parallel Algorithms Group at CERFACS in Toulouse and is a Visiting Professor of Mathematics at the University of Strathclyde. J. K. (John) Reid is an Honorary Scientist at the STFC Rutherford Appleton Laboratory in Oxfordshire, England. He is also a Visiting Professor at the Shrivenham Campus of Cranfield University and is Convener of the ISO/IEC Fortran Committee. A. M. (Al) Erisman is the Executive in Residence in the School of Business, Government, and Economics at Seattle Pacific University and is executive editor of Ethix magazine (), which he co-founded with a colleague in 1998. Over the past 15 years he has lectured on five continents in areas of business, technology, mathematics, ethics, faith, and economic development. Tab Content 6Author Website:Countries AvailableAll regions |