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Future Generation Computer Systems
Volume 21, Issue 6, June 2005, Pages 930-941
 
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doi:10.1016/j.future.2003.12.017    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 Elsevier B.V. All rights reserved.

The design of a distributed MATLAB-based environment for computing pseudospectra

C. Bekasa, E-mail The Corresponding Author, E. Kokiopouloua, E-mail The Corresponding Author and E. Gallopoulosb, Corresponding Author Contact Information, E-mail The Corresponding Author

aComputer Science and Engineering Department, University of Minnesota, Minneapolis, MN, USA bComputer Engineering and Informatics Department, University of Patras, Patras, Greece

Received 24 September 2003; 
revised 30 October 2003. 
Available online 25 February 2004.

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Abstract

It has been documented in the literature that the pseudospectrum of a matrix is a powerful concept that broadens our understanding of phenomena based on matrix computations. When the matrix A is non-normal, however, the computation of the pseudospectrum becomes a very expensive computational task. Thus, the use of high performance computing resources becomes key to obtaining useful answers in acceptable amounts of time. In this work we describe the design and implementation of an environment that integrates a suite of state-of-the-art algorithms running on a cluster of workstations to enable the matrix pseudospectrum become a practical tool for scientists and engineers. The user interacts with the environment via the graphical user interface PPsGUI. The environment is constructed on top of CMTM, an existing environment that enables distributed computation via an MPI API for MATLAB.

Keywords: Eigenvalues; Pseudospectrum; Problem solving environments; Parallel MATLAB; MPI; CMTM; Grid computing

Article Outline

1. Introduction and motivation
2. Computing pseudospectra
3. Parallel algorithms for the pseudospectrum
3.1. Domain-based methods
3.2. Matrix-based methods and hybrids
4. Computational platforms and issues
4.1. MATLAB and the Cornell multitask toolbox (CMTM)
5. PPsGUI
5.1. Automatic and manual configuration
5.2. Numerical experiments
5.3. Towards a Grid PSE
6. Conclusions
References
Vitae






 
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