2 edition of **parallel iterative linear system solver with dynamic load balancing** found in the catalog.

parallel iterative linear system solver with dynamic load balancing

Peter Christen

- 184 Want to read
- 10 Currently reading

Published
**1999**
by Shaker in Aachen
.

Written in English

- Electronic data processing -- Distributed processing.,
- Object-oriented programming (Computer science),
- Parallel processing (Electronic computers)

**Edition Notes**

Statement | Peter Christen. |

Series | Research reports in computer science -- Bd. 4 |

Classifications | |
---|---|

LC Classifications | QA76.58 .C58 1999 |

The Physical Object | |

Pagination | 176 p. : |

Number of Pages | 176 |

ID Numbers | |

Open Library | OL21467197M |

ISBN 10 | 3826549732 |

puting of linear inverse problems using iterative solvers [20], such as personalized PageRank [21], [22] and signal recovery on large graphs [23]–[25]. We focus on iterative methods for solving these linear systems. For the personalized PageRank problem, we study the power-iteration method which is the most classical PageRank algorithm [21]. We focus on the use of iterative methods for solving large sparse systems of linear equations. Many methods exist for solving such problems. The trick is to find the most effective method for the problem at hand. Unfortunately, a method that works well for one problem type may not work as well for another. Indeed, it may not work at all.

Computational Science Stack Exchange is a question and answer site for scientists using computers to solve scientific problems. It only takes a minute to sign up. also has a Parallel Iterative Solver GPU-accelerated libraries for solving sparse linear systems. 1. Parallel solver for sparse matrices on unstructured grids. Solve the dense linear system Ax = b using the approximate block LU Factorization algorithm with the procedure of ”diagonal boosting” Let α be a multiple of the unit roundoff, e.g. 10−6, and aj be the jth column of the updated matrix A after step j − 1.

Fortran 90 package for solving linear systems of equations of the form A*x = b, where the matrix A is sparse and can be either unsymmetric, symmetric positive definite, or general symmetric. Released in the public domain. Includes documentation, related publications, and an FAQ. HIPS (Hierarchical Iterative Parallel Solver) is a scientific library that provides an efficient parallel iterative solver for very large sparse linear systems. NEWS: 10/10/ Hips 5 release is now available.

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ICS ' Proceedings of the 12th international conference on Supercomputing A parallel iterative linear system solver with dynamic load balancing. A parallel iterative linear system solver with dynamic load balancing Peter Christen (Received 7 August ) Abstract This paper describes the design and implementation of a parallel iterative linear system solver for distributed memory multicomputers and workstation clusters.

It is capable of applying heterogeneous dataCited by: 1. A parallel iterative linear system solver with dynamic load balancing. Full Text: PDF Get PiM ~.1 - The Parallel Iterative Methods package for Systems of Linear Equations, User's Guide (Fortran 77 version.

Jonathan Robinson, Matt Gleeson, Laxman Rajagopalan and Chun-Heong Tan. Dynamic load balancing for MPI jobs under Hector. Technical Cited by: 4. It is capable of applying heterogeneous data distribution and dynamic load balancing within an iterative solver routine at matrix level.

Matrices as well as vectors are distributed heterogeneously according to the available performances of the processors, and redistributions are carried out at run time if the load of the processors changes.

This paper describes the design and implementation of a parallel iterative linear system solver for distributed memory multicomputers and workstation clusters. It is capable of applying heterogeneous data distribution and dynamic load balancing within an iterative solver routine at matrix level.

We present a parallel iterative linear system solver package which is designed to run efficiently on heterogeneous and dynamically changing platforms (like workstation clusters) by applying Dynamic load balancing within a parallel iterative linear system solver | Author: Peter Christen.

Abstract This paper describes the design and implementation of a parallel iterative linear system solver for distributed memory multicomputers and workstation clusters.

It is capable of applying heterogeneous data distribution and dynamic load balancing within an iterative solver routine at matrix by: 1. Traditional load balancing algorithms for data-intensive iterative routines can successfully load balance relatively small problems.

We demonstrate that they may fail for large problem sizes on Dynamic Load Balancing of Parallel Computational Iterative Routines on Platforms with Memory Heterogeneity | SpringerLinkCited by: 9. Dynamic Load Balancing • To achieve best performance of a parallel computing system running a parallel problem, it’s essential to maximize processor utilization by distributing the computation load evenly or balancing the load among the available processors while minimizing overheads.

• Optimal static load balancing, mapping or scheduling. A dynamic load balancing algorithm consists of four components, Load Measurement rule, an Information Exchange rule, an Initiation rule and a Load Balancing Operation. Book: Scheduling and Load Balancing in Parallel and Distributed Systems, Editors, Behrooz A.

Shirazi, Krishna M. Kavi and Ali R. Hurson. We have developed a dynamic load balancing library that allows parallel code to be adapted to heterogeneous systems for a wide variety of problems.

The overhead introduced by our system is minimal. Performance evaluation of load balancing algorithms for parallel single-phase iterative PDE solvers Conference Paper (PDF Available) June with 27 Reads How we measure 'reads'.

Parallel Iterative Methods for Linear Systems. 1 Jacobi iterations derivation of the formulas parallel version with butterﬂy synchronization. 2 a Parallel Implementation with MPI the sequential program gather-to-all with MPI_Allgather the parallel program analysis of the computation and communication cost.

Parallel Processing Letters c World Scienti c Publishing Company Dynamic Load Balancing of Parallel Computational Iterative Routines on Highly Heterogeneous HPC Platforms David Clarke, Alexey Lastovetsky, Vladimir Rychkov School of Computer Science and Informatics, University College Dublin, Bel eld, Dublin 4, Ireland.

This code provides a linear solver based on a parallel application of Cramer's rule. The programming was done in 'C' leveraging the MPI-CH2 libraries for message passing between nodes. This implementation is for dense linear systems and all. For equation systems from real problems, we demonstrated that the DSC algorithm combined with repartitioning and reordering is a well suited parallel iterative solver for circuit simulation.

For the performance of iterative solvers, a system Cited by: is called a system of linear equations or a linear system. In matrix notation this system may be written as Ax =b, where A=(ai,j) is a real matrix of size n×n, and b and x are vectors of n elements.

The problem of solving a linear equation system for the given matrix A and the vector b is considered to be theFile Size: KB. Abaqus Standard, a robust implicit solver to perform highly accurate static and low-speed dynamic events. Publisher Summary This chapter presents a method for a parallel adaptive solution of the Stokes and Oseen problems.

The main blocks of this method are the parallel adaptive mesh generator and the parallel solver for discrete problems with block-diagonal preconditioners. It is capable to apply a heterogeneous data distribution and dynamic load balancing within an iterative solver routine at matrix level.

Sparse and dense matrices, as well as vectors are distributed heterogeneously according to the available performances of the processors, and redistribution is carried out at run time if the load of the Author: Peter Christen. Abstract The efﬁciency of parallel iterative methods for solving linear systems, arising from real- life applications, depends greatly on matrix characteristics and on the amount of parallel overhead.

It is often viewed that a major part of this overhead can be caused by parallel matrix-vector multiplications.In this section, we classify load balancing algorithms and discuss their applicability to data-intensive iterative routines and dedicated computational clusters with memory heterogeneity.

Load balancing algorithms can be either static or dynamic. Static algorithms [4, 5, 6] use a priori information about the parallel application and platform. This.Parallel Linear System Solvers for Runge-Kutta Methods P.J.

van der Houwen & J.J.B. de Swart CWI P.O. BoxGB Amsterdam, The Netherlands Abstract If the nonlinear systems arising in implicit Runge-Kutta methods like the Radau IIA methods are iterated by (modified) Newton, then we have to solve linear systems whose matrix of Cited by: