Distributed Solution Of Sparse Linear Systems

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Distributed Solution of Sparse Linear Systems

We present results of an implementation on an Intel iPSC/860 parallel computer. An an [sic] alternative to estimating the structure of L using the separator tree, we develop an algorithm to compute the elimination tree on a distributed memory machine. Our algorithm uses the separator tree to achieve better time and space complexity than earlier work."
Parallel Complexity Of Linear System Solution

This book presents the most important parallel algorithms for the solution of linear systems. Despite the evolution and significance of the field of parallel solution of linear systems, no book is completely dedicated to the subject. People interested in the themes covered by this book belong to two different groups: numerical linear algebra and theoretical computer science, and this is the first effort to produce a useful tool for both. The book is organized as follows: after introducing the general features of parallel algorithms and the most important models of parallel computation, the authors analyze the complexity of solving linear systems in the circuit, PRAM, distributed, and VLSI models. The approach covers both the general case (i.e. dense linear systems without structure) and many important special cases (i.e. banded, sparse, Toeplitz, circulant linear systems).
Computational Techniques And Applications: Ctac 95 - Proceedings Of The Seventh Biennial Conference

This proceedings contains seven invited papers and 100 contributed papers. The topics covered range from studies of theoretical aspects of computational methods through to simulations of large-scale industrial processes, with an emphasis on the efficient use of computers to solve practical problems. Developers and users of computational techniques who wish to keep up with recent developments in the application of modern computational technology to problems in science and engineering will find much of interest in this volume.