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Graph Algorithms in the Language of Linear Algebra

2011-01-01 Mathematics
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Release : 2011-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 918/5 ( reviews)

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Book Synopsis Graph Algorithms in the Language of Linear Algebra by : Jeremy Kepner

Download or read book Graph Algorithms in the Language of Linear Algebra written by Jeremy Kepner. This book was released on 2011-01-01. Available in PDF, EPUB and Kindle. Book excerpt: The current exponential growth in graph data has forced a shift to parallel computing for executing graph algorithms. Implementing parallel graph algorithms and achieving good parallel performance have proven difficult. This book addresses these challenges by exploiting the well-known duality between a canonical representation of graphs as abstract collections of vertices and edges and a sparse adjacency matrix representation. This linear algebraic approach is widely accessible to scientists and engineers who may not be formally trained in computer science. The authors show how to leverage existing parallel matrix computation techniques and the large amount of software infrastructure that exists for these computations to implement efficient and scalable parallel graph algorithms. The benefits of this approach are reduced algorithmic complexity, ease of implementation, and improved performance.

Graph Algorithms in the Language of Linear Algebra

2011-08-04 Mathematics
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Release : 2011-08-04
Genre : Mathematics
Kind : eBook
Book Rating : 909/5 ( reviews)

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Book Synopsis Graph Algorithms in the Language of Linear Algebra by : Jeremy Kepner

Download or read book Graph Algorithms in the Language of Linear Algebra written by Jeremy Kepner. This book was released on 2011-08-04. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to graph algorithms accessible to those without a computer science background.

Graphs, Networks and Algorithms

2013-06-29 Mathematics
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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 226/5 ( reviews)

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Book Synopsis Graphs, Networks and Algorithms by : Dieter Jungnickel

Download or read book Graphs, Networks and Algorithms written by Dieter Jungnickel. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed

Introduction to Applied Linear Algebra

2018-06-07 Business & Economics
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Release : 2018-06-07
Genre : Business & Economics
Kind : eBook
Book Rating : 965/5 ( reviews)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd. This book was released on 2018-06-07. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Graph Theory and Sparse Matrix Computation

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 692/5 ( reviews)

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Book Synopsis Graph Theory and Sparse Matrix Computation by : Alan George

Download or read book Graph Theory and Sparse Matrix Computation written by Alan George. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: When reality is modeled by computation, matrices are often the connection between the continuous physical world and the finite algorithmic one. Usually, the more detailed the model, the bigger the matrix, the better the answer, however, efficiency demands that every possible advantage be exploited. The articles in this volume are based on recent research on sparse matrix computations. This volume looks at graph theory as it connects to linear algebra, parallel computing, data structures, geometry, and both numerical and discrete algorithms. The articles are grouped into three general categories: graph models of symmetric matrices and factorizations, graph models of algorithms on nonsymmetric matrices, and parallel sparse matrix algorithms. This book will be a resource for the researcher or advanced student of either graphs or sparse matrices; it will be useful to mathematicians, numerical analysts and theoretical computer scientists alike.

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