Some Thoughts on the QZ Algorithm for Solving the Generalized Eigenvalue Problem

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Some Thoughts on the QZ Algorithm for Solving the Generalized Eigenvalue Problem

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 3 , Issue 1 (March 1977) table of contents

Pages: 65 - 75

Year of Publication: 1977

ISSN:0098-3500

Author

Linda Kaufman

Bell Laboratories, Murray Hill, NJ and University of Colorado

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 9, Downloads (12 Months): 52, Citation Count: 0

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references index terms collaborative colleagues

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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	FRANCIS, J.G. The QR transformation--A unitary analogue of the LR transformation. Computer J. 4 (April 1961-Jan. 1962), 265-271,332-345.
	2	GABOW, B. Private communication. Argonne National Labs., Argonne, Ill, Feb. 1976.
	3	KAUFMAN, L. The LZ algorithm to solve the generahzed eigenvalue problem. SIAM J. Numer. Anal. 1i (1974), 997-1023.
	4	MOLER, C.B., AND STEWART, G.W An algorithm for generalized matrix eigenvalue problems. SIAM J. Numer. Anal. 10 (1973), 241-256.
	5	WARD, R.C. The combination shift QZ algorithm. SIAM J. Numer. Anal. 12 (1975), 835- 853.
	6	J. H. Wilkinson, The algebraic eigenvalue problem, Oxford University Press, Inc., New York, NY, 1988

INDEX TERMS

Primary Classification:
G. Mathematics of Computing

Additional Classification:
G. Mathematics of Computing
G.1 NUMERICAL ANALYSIS
G.1.3 Numerical Linear Algebra
Subjects: Eigenvalues and eigenvectors (direct and iterative methods)

General Terms:
Algorithms, Design, Theory

Collaborative Colleagues:

Linda Kaufman: colleagues

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