A Simultaneous Iteration Algorithm for Real Matrices

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A Simultaneous Iteration Algorithm for Real Matrices

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 7 , Issue 2 (June 1981) table of contents

Pages: 184 - 198

Year of Publication: 1981

ISSN:0098-3500

Authors

William J. Stewart	Department of Computer Science, North Carolina State University, P O. Box 5972, Raleigh, NC
Alan Jennings	Department of Civil Engineering, Queen's University, Belfast, BT7 1NN Northern Ireland

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 10, Downloads (12 Months): 52, Citation Count: 4

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	BAUER, F.L. Das Verfahren der Treppeniteration und verwandte Verfahren zur Losung algebraischer Eigenwertprobleme. Z. Angew. Math. Phys. 8 (1957), 214-235
	2	GREGORY, R.T., AND KARNEY, D.L. A Collection of Matrices for Testing Computational Algorithms. Wiley-Interscience, New York, 1969.
	3	JENNINGS, A. Matrix Computation for Engineers and Scientists. Wiley, London, 1977.
	4	JENNINGS, A., AND STEWART, W.J. Snnultaneous iteration for partial elgensolution of real matrices. J. Inst. Math Appl 15 (1975), 351-361.
	5	Donald E. Knuth, The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms, Addison-Wesley Longman Publishing Co., Inc., Boston, MA, 1997
	6	Donald E. Knuth, The art of computer programming, volume 3: (2nd ed.) sorting and searching, Addison Wesley Longman Publishing Co., Inc., Redwood City, CA, 1998
	7	Linus Schrage, A More Portable Fortran Random Number Generator, ACM Transactions on Mathematical Software (TOMS), v.5 n.2, p.132-138, June 1979 [doi>10.1145/355826.355828]
	8	STEWART, G.W. Simultaneous iteration for computing mvariant subspaces of non-Hernntlan matrices. Numer. Math. 25 (1976), 123-136.
	9	William J. Stewart, A comparison of numerical techniques in Markov modeling, Communications of the ACM, v.21 n.2, p.144-152, Feb. 1978 [doi>10.1145/359340.359350]
	10	J. H. Wilkinson, The algebraic eigenvalue problem, Oxford University Press, Inc., New York, NY, 1988
	11	WILKINSON, J.H., AND REINSCH, C. Handbook for Automattc Computatton, Vol. 2, Linear Algebra. Sprmger-Verlag, Berlin, 1971.

CITED BY 4

	I. S. Duff , J. A. Scott, Computing selected eigenvalues of sparse unsymmetric matrices using subspace iteration, ACM Transactions on Mathematical Software (TOMS), v.19 n.2, p.137-159, June 1993
	J. Sanchez , F. Marques , J. M. Lopez, A continuation and bifurcation technique for Navier-Stokes flows, Journal of Computational Physics, v.180 n.1, p.78-98, July 20, 2002
	William J. Stewart , Alan Jennings, Algorithm 570: LOPSI: A Simultaneous Iteration Method for Real Matrices [F2], ACM Transactions on Mathematical Software (TOMS), v.7 n.2, p.230-232, June 1981
	Wilbert Weijer , Henk A. Dijkstra , Hakan Öksüzoǧlu , Fred W. Wubs , Arie C. de Niet, A fully-implicit model of the global ocean circulation, Journal of Computational Physics, v.192 n.2, p.452-470, 10 December 2003