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Presenting the state of the art in parallel numerical algorithms, applications, architectures and system software, this book examines solutions for issues of concurrency, scale, energy efficiency and programmability, in a diverse range of applications.

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This book presents the state of the art in parallel numerical algorithms, applications, architectures, and system software. The book examines various solutions for issues of concurrency, scale, energy efficiency, and programmability, which are discussed in the context of a diverse range of applications. Features: includes contributions from an international selection of world-class authorities; examines parallel algorithm-architecture interaction through issues of computational capacity-based codesign and automatic restructuring of programs using compilation techniques; reviews emerging applications of numerical methods in information retrieval and data mining; discusses the latest issues in dense and sparse matrix computations for modern high-performance systems, multicores, manycores and GPUs, and several perspectives on the Spike family of algorithms for solving linear systems; presents outstanding challenges and developing technologies, and puts these in their historical context.

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Parallel Numerical Computing from Illiac IV to Exascale: The Contributions of Ahmed H. Sameh
K. Gallivan, E. Gallopoulos, A. Grama, B. Philippe, E. Polizzi, Y. Saad, F. Saied, and D. Sorensen

Computational Capacity-Based Co-design of Computer Systems
David J. Kuck

Measuring Computer Performance
William Jalby, David C. Wong, David J. Kuck, Jean-Thomas Acquaviva, and Jean-Christophe Beyler

A Compilation Framework for the Automatic Restructuring of Pointer-Linked Data Structures
Harmen L.A. van der Spek, C.W. Mattias Holm, and Harry A.G. Wijshoff

Dense Linear Algebra on Accelerated Multicore Hardware
Jack Dongarra, Jakub Kurzak, Piotr Luszczek, and Stanimire Tomov

The Explicit SPIKE Algorithm: Iterative Solution of the Reduced System
Carl Christian Kjelgaard Mikkelsen

The SPIKE Factorization as Domain Decomposition Method: Equivalent and Variant Approaches
Victor Eijkhout, and Robert van de Geijn

Parallel Solution of Sparse Linear Systems
Murat Manguoglu

Parallel Block-Jacobi SVD Methods
Martin Becka, Gabriel Oksa, and Marián Vajtersic

Robust and Efficient Multifrontal Solver for Large Discretized PDEs
Jianlin Xia

A Preconditioned Scheme for Nonsymmetric Saddle-Point Problems
Abdelkader Baggag

Effect of Ordering for Iterative Solvers in Structural Mechanics Problems
Sami A. Kilic

Scaling Hypre´s Multigrid Solvers to 100,000 Cores
Allison H. Baker, Robert D. Falgout, Tzanio V. Kolev, and Ulrike Meier Yang

A Riemannian Dennis-Moré Condition
K.A. Gallivan, C. Qi, and P.-A. Absil

A Jump-Start of Non-Negative Least Squares Solvers
Mu Wang, and Xiaoge Wang

Fast Nonnegative Tensor Factorization with an Active-Set-Like Method
Jingu Kim, and Haesun Park

Knowledge Discovery Using Nonnegative Tensor Factorization with Visual Analytics
Andrey A. Puretskiy and Michael W. Berry

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