Direct Methods for Sparse Matrices

Author:   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
Edition:   2nd Revised edition
ISBN:  

9780198508380


Pages:   450
Publication Date:   26 January 2017
Format:   Hardback
Availability:   To order   Availability explained
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Direct Methods for Sparse Matrices


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Author:   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:  

9780198508380


ISBN 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   Availability explained
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 Contents

1: 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 exercises

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 * 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 Information

I. 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.

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