Describes a selection of important parallel algorithms for matrix computations. Reviews the current status and provides an overall perspective of parallel algorithms for solving problems arising in the major areas of numerical linear algebra, including (1) direct solution of dense, structured, or sparse linear systems, (2) dense or structured least squares computations, (3) dense or structured eigenvaluen and singular value computations, and (4) rapid elliptic solvers. The book emphasizes computational primitives whose efficient execution on parallel and vector computers is essential to obtain high performance algorithms. Consists of two comprehensive survey papers on important parallel algorithms for solving problems arising in the major areas of numerical linear algebra--direct solution of linear systems, least squares computations, eigenvalue and singular value computations, and rapid elliptic solvers, plus an extensive up-to-date bibliography (2,000 items) on related research.
Axelsson, O., Barker, V.A.: Finite Element Solution of Boundary Value Problems. Academic Press Inc., Orlando (1984) 2. Meurant, G.: Computer Solution of Large Linear Systems. Studies in Mathematics and its Applications.
One of the first textbooks on the topic, this book brings together and further articulates the fundamental concepts in parallel computing. It covers the application of parallel algorithms to numerical...
This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of ...
This volume is intended for scientists and graduate students specializing in computer science and applied mathematics who are engaged in parallel scientific computing.
This volume is intended for scientists and graduate students specializing in computer science and applied mathematics who are engaged in parallel scientific computing.
This volume is intended for scientists and graduate students specializing in computer science and applied mathematics who are engaged in parallel scientific computing.
This book presents the state of the art in parallel numerical algorithms, applications, architectures, and system software.
G.L. Miller, V. Ramachandran, E. Kaltofen, Efficient Parallel Evaluation of Straight-line Code and Arithmetic Circuits, SIAM J. Comput., 17, 4,687–695, 1988. Y. Mansour, B. Scheiber, P. Tiwari, Lower Bounds for Integer Greatest Common ...
From the practical point of view, this provides sufficient justification to investigate the concept of parallel processing and related issues, such as parallel algorithms.
Mathematics of Computing -- Parallelism.