Algorithm 496: The LZ Algorithm to Solve the Generalized Eigenvalue Problem for Complex Matrices [F2]

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Algorithm 496: The LZ Algorithm to Solve the Generalized Eigenvalue Problem for Complex Matrices [F2]

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 1 , Issue 3 (September 1975) table of contents

Pages: 271 - 281

Year of Publication: 1975

ISSN:0098-3500

Author

Linda Kaufman

Department of Computer Science, University of Colorado, Boulder, CO

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 11, Downloads (12 Months): 140, Citation Count: 1

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appendices and supplements references cited by index terms collaborative colleagues peer to peer

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APPENDICES and SUPPLEMENTS

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LZ algorithm: generalized eigenvalue problem for complex matrices
Gams: D4b4

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	KAUFMAN, L.C. The LZ algorithm to solve the generalized eigenvalue problem. SIAM J. Numer. Anal. 11 (Oct. 1974), 997-1023.
	2	MOLER, C.B, AND STEWART, G W. An algorithm for the generalized matrix eigenvalue problem. SIAM J. Numer. Anal. 10 (April 1973), 241-256.
	3	RVTISnA~SEa, H. Solutwn of the ezgenvalue problem w~th the Lit transformatwn. Nat Bur. Standards Appl Math. Ser 49, U.S. Govt. Printing Office, Washington, D.C., Jan. 1958.
	4	J. H. Wilkinson, The algebraic eigenvalue problem, Oxford University Press, Inc., New York, NY, 1988
	1	W. Börsch-Supan, Algorithms 21: Bessel function for a set of integer orders, Communications of the ACM, v.3 n.11, p.600, Nov. 1960 [doi>10.1145/367436.367446]
	2	ErNARSSON, B. Remark on Algorithm 443, Solution of the transcendental equation we'~ - x. Comm. ACM 17, 4 (April 1974), 225.
	3	F. N. Fritsch , R. E. Shafer , W. P. Crowley, Solution of the transcendental equation wew = x, Communications of the ACM, v.16 n.2, p.123-124, Feb. 1973 [doi>10.1145/361952.361970]
	4	GXVTSCHr, W. Computational aspects of three-term recurrence relations. SIAM Rev. 9 (1967), 24-82.
	5	G~UTSCm, W. Personal communication, Nov. 1973.
	6	GRAY, A., MATHEWS, G.B., Arid MAcROBERT, T.M. A Treatise on Bessel Functwns and Their Applicatwns to Physics, 2rid ed. Dover Publications, New York, 1966, pp. xiv and 327.
	7	Annals of the Computation Lab., Harvard U. Tables of the Bessel Funchons of the F, rst Kind of Orders Two and Three, Vol. I V. Harvard U. Press, Cambridge, Mass., 1947, pp. v and 652.
	8	Annals of the Computation Lab., Harvard U. Tables of the Bessel Functions of the First K, nd of Orders Zero and One, Vol. III. Harvard U. Press, Cambridge, Mass., 1947, pp. xxxvii and 652.
	9	HAYASHI, K. Tafeln der Besselschen, Theta-, Kugel- und anderer Funktionen. Springer, Berlin, 1930, pp. v and 125.
	10	IBM System/370 Principles of Operatwn. IBM Systems, Order No. GA22-7000-3, IBM, White Plains, N.Y., 1973, pp. xii and 318.
	11	SOOKNE, D.J. Bessel functions I and J of complex argument and integer order. J. Res. Nat. Bur. Standards 77B (1973), 111-114.
	12	SOOKNE, D.J. Bessel functions of real argument and integer order. J. Res. Nat. Bur. Standards 77B (1973), 125-132.
	13	Soor:NF., D.J. Certification of an algorithm for Bessel functions of complex argument. J. Res. Nat. Bur. Standards 77B (1973), 133-136.
	14	SOOr:NE, D.J. Certification of an algorithm for Bessel functions of real argument. J. Res. Nat. Bur. Standards 77B (1973), 115-124.
	15	J. Stafford, Certification of algorithm 21 [S17]: Bessel function for a set of integer orders, Communications of the ACM, v.8 n.4, p.219, April 1965 [doi>10.1145/363831.364867]
	1	Gideon Ehrlich, Loopless Algorithms for Generating Permutations, Combinations, and Other Combinatorial Configurations, Journal of the ACM (JACM), v.20 n.3, p.500-513, July 1973 [doi>10.1145/321765.321781]