Showing posts with label Algebras. Show all posts
Showing posts with label Algebras. Show all posts

Saturday, December 22, 2018

Download Graph Algorithms in the Language of Linear Algebra Online Book

Download Free Graph Algorithms in the Language of Linear Algebra Book PDF

ByJeremy Kepner,John Gilbert

Graph Algorithms in the Language of Linear Algebra

Total Download

16

“If you only read the books that everyone else is reading, you can only think what everyone else is thinking.” –Haruki Murakami

Synopsis

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.

Thursday, November 22, 2018

Download Coding the Matrix PDF

Free Download Coding the Matrix Online Book

ByPhilip N. Klein

Coding the Matrix

Total Download

31

“I often carry things to read so that I will not have to look at people.” –Charles Bukowski

Synopsis

An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program. Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by |doing,| writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant |xkcd| comics. Chapters: |The Function,| |The Field,| |The Vector,| |The Vector Space,| |The Matrix,| |The Basis,| |Dimension,| |Gaussian Elimination,| |The Inner Product,| |Special Bases,| |The Singular Value Decomposition,| |The Eigenvector,| |The Linear Program| A new edition of this text, incorporating corrections and an expanded index, has been issued as of September 4, 2013, and will soon be available on Amazon.