×
Ford, J. A.

A generalization of the Jenkins-Traub method. (English) Zbl 0348.65044

Math. Comput. 31, 193-203 (1977).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0348.65044

Cited in 1 Document

MSC:

65H05 Numerical computation of solutions to single equations
Cite Review PDF
Full Text: DOI

References:

[1] C. G. Broyden and J. A. Ford, A new method of polynomial deflation, J. Inst. Math. Appl. 16 (1975), no. 3, 271 – 281. · Zbl 0357.65031
[2] J. A. FORD, ”A generalization of the Jenkins-Traub method,” Technical Report CSM-9, Univ. of Essex Computing Centre, June 1975. · Zbl 0348.65044
[3] M. A. Jenkins and J. F. Traub, A three-stage variable-shift iteration for polynomial zeros and its relation to generalized Rayleigh iteration, Numer. Math. 14 (1969/1970), 252 – 263. · Zbl 0176.13701 · doi:10.1007/BF02163334
[4] M. A. Jenkins and J. F. Traub, A three-stage algorithm for real polynomials using quadratic iteration., SIAM J. Numer. Anal. 7 (1970), 545 – 566. · Zbl 0237.65034 · doi:10.1137/0707045
[5] Morris Marden, The Geometry of the Zeros of a Polynomial in a Complex Variable, Mathematical Surveys, No. 3, American Mathematical Society, New York, N. Y., 1949. · Zbl 0038.15303
[6] J. M. Ortega and W. C. Rheinboldt, Iterative solution of nonlinear equations in several variables, Academic Press, New York-London, 1970. · Zbl 0241.65046
[7] G. Peters and J. H. Wilkinson, Practical problems arising in the solution of polynomial equations, J. Inst. Math. Appl. 8 (1971), 16 – 35. · Zbl 0232.65041
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.