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The IMA Volumes in Mathematics and Its Applications Ser.: Graph Theory and Sparse Matrix Computation by John R. Gilbert (2011, Trade Paperback)

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A vner Friedman Willard Miller. PREFACE When reality is modeled by computation, linear algebra is often the con nec- tiori between the continuous physical world and the finite algorithmic one. Graph Theory and Sparse Matrix Computation by Alan George, John R. Gilbert, Joseph W.H. Liu.

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Product Information

This IMA Volume in Mathematics and its Appllcations GRAPH THEORY AND SPARSE MATRIX COMPUTATION is based on the proceedings of a workshop that was an integraI part of the 1991- 92 IMA program on "Applied Linear AIgebra." The purpose of the workshop was to bring together people who work in sparse matrix computation with those who conduct research in applied graph theory and grl: l, ph algorithms, in order to foster active cross-fertilization. We are grateful to Richard Brualdi, George Cybenko, Alan Geo ge, Gene Golub, Mitchell Luskin, and Paul Van Dooren for planning and implementing the year-Iong program. We espeeially thank Alan George, John R. Gilbert, and Joseph W.H. Liu for organizing this workshop and editing the proceedings. The finaneial support of the National Science Foundation made the workshop possible. A vner Friedman Willard Miller. Jr. PREFACE When reality is modeled by computation, linear algebra is often the con nec- tiori between the continuous physical world and the finite algorithmic one. Usually, the more detailed the model, the bigger the matrix, the better the answer. Efficiency demands that every possible advantage be exploited: sparse structure, advanced com- puter architectures, efficient algorithms. Therefore sparse matrix computation knits together threads from linear algebra, parallei computing, data struetures, geometry, and both numerieal and discrete algorithms.

Product Identifiers

Publisher
Springer New York
ISBN-10
1461383714
ISBN-13
9781461383710
eBay Product ID (ePID)
143540352

Product Key Features

Author
John R. Gilbert
Publication Name
Graph Theory and Sparse Matrix Computation
Format
Trade Paperback
Language
English
Series
The Ima Volumes in Mathematics and Its Applications Ser.
Publication Year
2011
Type
Textbook
Number of Pages
245 Pages

Dimensions

Item Length
9.3in
Item Height
0.2in
Item Width
6.1in
Item Weight
14.3 Oz

Additional Product Features

Series Volume Number
56
Number of Volumes
1 Vol.
Lc Classification Number
Qa297.4
Table of Content
An introduction to chordal graphs and clique trees.- Cutting down on fill using nested dissection: Provably good elimination orderings.- Automatic Mesh Partitioning.- Structural representations of Schur complements in sparse matrices.- Irreducibility and primitivity of Perron complements: Application of the compressed directed graph.- Predicting structure in nonsymmetric sparse matrix factorizations.- Highly parallel sparse triangular solution.- The fan-both family of column-based distributed Cholesky factorization algorithms.- Scalability of sparse direct solvers.- Sparse matrix factorization on SIMD parallel computers.- The efficient parallel iterative solution of large sparse linear systems.
Copyright Date
1993
Topic
Numerical Analysis, Graphic Methods, Matrices, Discrete Mathematics
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Mathematics

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The IMA Volumes in Mathematics and Its Applications Ser.: Graph Theory and Sparse Matrix Computation by John R. Gilbert (2011, Trade Paperback)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

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