A Modified Givens Method for the Eigenvalue Evaluation of Large Matrices

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A Modified Givens Method for the Eigenvalue Evaluation of Large Matrices

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Journal of the ACM (JACM) archive
Volume 8 , Issue 3 (July 1961) table of contents

Pages: 331 - 335

Year of Publication: 1961

ISSN:0004-5411

Author

Donald E. Johansen

Sylvania Electric Products, Inc., Waltham, Massachusetts

Publisher

ACM New York, NY, USA

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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	GIVENS, W. Numericalcomputation o~ the characteristic values of a real symmetric matrix. Oak Ridge National Laboratory, Report No. ORNL 1574, 1954.
	2	Alston S. Householder, Unitary Triangularization of a Nonsymmetric Matrix, Journal of the ACM (JACM), v.5 n.4, p.339-342, Oct. 1958 [doi>10.1145/320941.320947]
	3	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 [doi>10.1145/321021.321030]
	4	ANDRUS, J.F. Note on eigenvalue computation Comm. ACM 8 (1960), 617.
	5	HOUSEHOLDER, A. S.; AND B~kUER, F. L. 0Ii certain methods for expanding the characteristic polynomial. Num. Math. I (1959), 29-37.
	6	~AVER, F.L. Sequential reduction to tridiagonal form. J. Soc. Indust. Appt. Math. 7, (1959), i07-113.
	7	CnAnTRES, B A. Adaptation of the Jacobi and Givens methods for ~ computer with magnetic tape backing store. Research Report No. 8, April (1960). Basser Computing Dept., School of Physics, The University of Sydney.
	8	G~vzNs, W~I,~ACE. The linear equations problem. Appl Math. and Stat. Laboratories, Stanford Univ., Tech. Report No. 3 (1959), pp. 1~27.
	9	FOX, P.; ROTEN:BERG, A ; AND WETHER:ELL, E Eigenvalue-eigenvector code. AEC Computing and Applied. Mathematics Center, New York University, July 8, 1958. SHARE No NU~MXEW.