Bernoulli's Method with Implicit Shifting

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Bernoulli's Method with Implicit Shifting

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Journal of the ACM (JACM) archive
Volume 20 , Issue 4 (October 1973) table of contents

Pages: 539 - 544

Year of Publication: 1973

ISSN:0004-5411

Author

M. A. Jenkins

Department of Computing and Information Science, Queen's University, Kingston, Ontario, Canada

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	BAUER, F.L. Beitr/ige zur Entwicklung numerischer Verfahren for programmgesteuerte Rechem'mlagen, i. Quadratisch konvergente Durchfiihrung der Bernoulli-Jacobischen Methode zur Nullstellenbestimmung von Polynomen. S.B. Math.-Nat. K1. Bayer, Akad. WiNs., V 1954, 1955, 275-303.
	2	BAUER, F. L., AND SAMELSON, K. Polynomkerne und Iterationsverfahren. Math. Z. 67 (1957), 93-98.
	3	M. A. Jenkins , Joseph F. Traub, A three-stage variable-shift iteration for polynomial zeros and its relation to generalized Rayleigh iteration, Stanford University, Stanford, CA, 1968
	4	JENKINS, M. A., AND TRAUB, J.F. A three-stage variable-shift iteration for polynomial zeros and its relation to generalized 1Rayleigh iteration. Numer. Math. 14 (1970), 252-263.
	5	STI~WAn% G.W. Some iterations for factoring a polynomial. Numer. Math. 13 (1969), 458-471.
	6	ST~;WART, G. W. On a companion operator for analytic functions. Numer. Math. I8 (1971), 26-43.
	7	TRAUB, J.F. The calculation of zeros of polynomials and analytic functions. Proc. Symposia in Applied Mathematics, Vol. 19, Mathematical Aspects of Computer Science, Amer. Math. Soc., Providence, R. I., 1967, pp. 138-152.
	8	TRAUB, J.F. A class of globally convergent iteration functions for the solution of polynomial equations. Math. Comp. 20 (1966), 113-138.
	9	J. H. Wilkinson, The algebraic eigenvalue problem, Oxford University Press, Inc., New York, NY, 1988