Maehly,s Procedure
المؤلف:
Bauer, F. L. and Stoer, J.
المصدر:
"Algorithm 105: Newton Maehly." J. CACM 5
الجزء والصفحة:
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12-12-2021
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Maehly's Procedure
A method for finding roots which defines
 |
(1)
|
so the derivative is
 |
(2)
|
One step of Newton's method can then be written as
 |
(3)
|
REFERENCES:
Bauer, F. L. and Stoer, J. "Algorithm 105: Newton Maehly." J. CACM 5, 387-388, 1962.
Maehly, H. J. "Zur iterativen Auflösung algebraischer Gleichungen." Z. Angew. Math. Mech. 5, 260-263, 1954.
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 371-372, 1992.
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