Unitary Triangularization of a Nonsymmetric Matrix

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Unitary Triangularization of a Nonsymmetric Matrix

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Journal of the ACM (JACM) archive
Volume 5 , Issue 4 (October 1958) table of contents

Pages: 339 - 342

Year of Publication: 1958

ISSN:0004-5411

Author

Alston S. Householder

Oak Ridge National Laboratory, Oak Ridge, Tennessee

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 16, Downloads (12 Months): 156, Citation Count: 14

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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	A. S. HOUSEHOLDER (1958), A class of methods for inverting matrices. J. Soc. Ind. Appl. Math. 6, 189-195.
	2	JOHN YON NEUMANN and H. H. GOLDSTINE (1947), Numerical inverting of matrices of high order, Bull. Am. Math. Soc. 58: 1021-99.
	3	NORMXS E. STEENROD (1951), The topology of fibre bundles Princeton

CITED BY 14

	David D. Morrison, Remarks on the Unitary Triangularization of a Nonsymmetric Matrix, Journal of the ACM (JACM), v.7 n.2, p.185-186, April 1960
	Donald E. Johansen, A Modified Givens Method for the Eigenvalue Evaluation of Large Matrices, Journal of the ACM (JACM), v.8 n.3, p.331-335, July 1961
	Werner L. Frank, Solution of Linear Systems by Richardson's Method, Journal of the ACM (JACM), v.7 n.3, p.274-286, July 1960
	J. H. Wilkinson, Error Analysis of Direct Methods of Matrix Inversion, Journal of the ACM (JACM), v.8 n.3, p.281-330, July 1961
	Thierry Joffrain , Tze Meng Low , Enrique S. Quintana-Ortí , Robert van de Geijn , Field G. Van Zee, Accumulating Householder transformations, revisited, ACM Transactions on Mathematical Software (TOMS), v.32 n.2, p.169-179, June 2006
	G. W. Kimble, A variation of the Goodman-Lance method for the solution of two-point boundary value problems, Communications of the ACM, v.13 n.9, p.557-558, Sept. 1970
	Per Brinch Hansen, Huseholder reduction of linear equations, ACM Computing Surveys (CSUR), v.24 n.2, p.185-194, June 1992
	Robert J. Plemmons, Linear Least Squares by Elimination and MGS, Journal of the ACM (JACM), v.21 n.4, p.581-585, Oct. 1974
	James J. Carrig, Jr. , Gerard G. L. Meyer, Efficient householder QR factorization for superscalar processors, ACM Transactions on Mathematical Software (TOMS), v.23 n.3, p.362-378, Sept. 1997
	Gregorio Quintana-Ortí , Robert van de Geijn, Improving the performance of reduction to Hessenberg form, ACM Transactions on Mathematical Software (TOMS), v.32 n.2, p.180-194, June 2006
	Say Song Goh , Tim N. T. Goodman , S. L. Lee, Constructing tight frames of multivariate functions, Journal of Approximation Theory, v.158 n.1, p.49-68, May, 2009
	Xiaogang Su , Chih-Ling Tsai , Morgan C. Wang, Tree-structured model diagnostics for linear regression, Machine Learning, v.74 n.2, p.111-131, February 2009
	G. w. Stewart, The Decompositional Approach to Matrix Computation, Computing in Science and Engineering, v.2 n.1, p.50-59, January 2000
	Daniel P. Palomar , Yi Jiang, MIMO transceiver design via majorization theory, Foundations and Trends in Communications and Information Theory, v.3 n.4, p.331-551, November 2006