An efficient parallel solution framework for the linear solution of large systems on PC clusters
نویسندگان
چکیده
منابع مشابه
The Efficient Parallel Iterative Solution of Large Sparse Linear Systems
The development of eecient, general-purpose software for the iterative solution of sparse linear systems on a parallel MIMD computer requires an interesting combination of expertise. Parallel graph heuristics, convergence analysis, and basic linear algebra implementation issues must all be considered. In this paper, we discuss how we have incorporated recent results in these areas into a genera...
متن کاملParallel iterative solution method for large sparse linear equation systems
Solving sparse systems of linear equations is at the heart of scientific computing. Large sparse systems often arise in science and engineering problems. One such problem we consider in this paper is the steadystate analysis of Continuous Time Markov Chains (CTMCs). CTMCs are a widely used formalism for the performance analysis of computer and communication systems. A large variety of useful pe...
متن کاملProcessor Efficient Parallel Solution of Linear Systems of Equations
We present a deterministic parallel algorithm that solves a n-dimensional system Ax b of linear equations over an ordered field or over a subfield of the complex Ž 2 . Ž Ž . 2 numbers. This algorithm uses O log n parallel time and O max M n , n Ž . 4. Ž . log log n log n arithmetic processors if M n is the processor complexity of fast parallel matrix multiplication. 2000 Academic Press
متن کاملFast and Efficient Parallel Solution of Dense Linear Systems
The most efficient previously known parallel algorithms for the inversion ofa nonsingular n x n matrix A or solving a linear system Ax = b over the rational numbers require O(log2n) time and M(n).~ processors [provided that M(n) processors suffice in order to multiply two n × n rational matrices in time O (log n)]. Furthermore, the known polylog arithmetic time algorithms for those problems are...
متن کاملFast and Efficient Parallel Solution of Sparse Linear Systems
This paper presents a parallel algorithm for the solution of a linear system Ax = b with a sparse n n symmetric positive deenite matrix A, associated with the graph G(A) that has n vertices and has an edge for each nonzero entry of A. If G(A) has an s(n)-separator family and a known s(n)-separator tree, then the algorithm requires only O(log 3 n) time and (jEj+M(s(n)))= log n processors for the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tsinghua Science and Technology
سال: 2008
ISSN: 1007-0214
DOI: 10.1016/s1007-0214(08)70128-7