Z. Bai, J. Demmel, J. Dongarra, A. Petitet, H. Robinson, K. Stanley  Home/Search
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Abstract: The implementation and performance of a class of divide-and-conquer algorithms for computing the spectral decomposition of nonsymmetric matrices on distributed memory parallel computers are studied in this paper. After presenting a general framework, we focus on a spectral divide-and-conquer (SDC) algorithm with Newton iteration. Although the algorithm requires several times as many floating point operations as the best serial QR algorithm, it can be simply constructed from a small set of... (Update)
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.... MPI GM API 37.4 213.1 254.4 for the execution time of the routines are oversimplistic and neglect many of these factors; see, e.g. [3, 17]. We therefore do not pursue this goal any further. 5. EXPERIMENTAL RESULTS Our experiments are performed on a cluster of Intel Pentium...
...matrix sign function. It is well known that sign function based computations are easy to parallelize and yield very ecient code; see, e.g. [1]. The solution of Lyapunov equations using the sign function method was rst described in [19] Ecient algorithms for solving a pair of...
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BibTeX entry: (Update)
Bai, Z., Demmel, J., Dongarra, J., Petitet, A., Robinson, H., Stanley, K., The Spectral Decomposition of Nonsymmetric Matrices on Distributed Memory Parallel Computers, LAPACK working note 91, University of Tennessee at Knoxville, Jan. 1995 To appear in SIAM Scientific Computing. http://citeseer.ist.psu.edu/article/bai95spectral.html More
@article{ bai97spectral,
author = "Z. Bai and J. Demmel and J. Dongarra and A. Petitet and H. Robinson and K. Stanley",
title = "The Spectral Decomposition of Nonsymmetric Matrices on Distributed Memory Parallel Computers",
journal = "{SIAM} Journal on Scientific Computing",
volume = "18",
number = "5",
pages = "1446--1461",
year = "1997",
url = "citeseer.ist.psu.edu/article/bai95spectral.html" }
Citations (may not include all citations):49 Solving the algebraic Riccati equation with the matrix sign .. (context) - Byers - 1987
12 Cambridge University Press (context) - Iserles, Acta et al. - 1993
2 IEEE Computer Society Press (context) - ConferenceProceedings - 1991
2 technical report - dept - 1993
1 LAPACK Users' Guide #second edition (context) - Hammarling, McKenney et al. - 1995
1 available in postscript from netlib#scalapack (context) - UniversityofTennessee - 1993
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