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Graph Theory and Sparse Matrix Computation

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Cover of 'Graph Theory and Sparse Matrix Computation'

Table of Contents

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    Book Overview
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    Chapter 1 An Introduction to Chordal Graphs and Clique Trees
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    Chapter 2 Cutting down on Fill Using Nested Dissection: Provably Good Elimination Orderings
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    Chapter 3 Automatic Mesh Partitioning
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    Chapter 4 Structural Representations of Schur Complements in Sparse Matrices
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    Chapter 5 Irreducibility and Primitivity of Perron Complements: Application of the Compressed Directed Graph
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    Chapter 6 Predicting Structure in Nonsymmetric Sparse Matrix Factorizations
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    Chapter 7 Highly Parallel Sparse Triangular Solution
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    Chapter 8 The Fan-Both Family of Column-Based Distributed Cholesky Factorization Algorithms
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    Chapter 9 Scalability of Sparse Direct Solvers
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    Chapter 10 Sparse Matrix Factorization on SIMD Parallel Computers
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    Chapter 11 The Efficient Parallel Iterative Solution of Large Sparse Linear Systems
Attention for Chapter 5: Irreducibility and Primitivity of Perron Complements: Application of the Compressed Directed Graph
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