zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Convergence on the iteration of Halley family in weak conditions. (English) Zbl 0884.30004
The author obtains the convergence theorems of the iteration of Hally family in weak conditions by the point estimate.

MSC:
30C15Zeros of polynomials, etc. (one complex variable)
References:
[1]Wang Xinghua, Zheng Shiming, Han Danfu, Convergence on Euler series, The iterations of Euler’s and Halley’s families,Acta Mathematica Sinica, 1990, 33(6): 721.
[2]Wang Xinghua, A summary on continuous complexity theory,Contemporary Mathematics, 1994, 163: 155.
[3]Smale, S., Newton’s method estimates from data at one point, inThe Merging of Disciplines: New Directions in Pure, Applied and Computational Mathematics (eds. Ewing, R.et al.), New York: Springer-Verlag, 1986, 185–196.
[4]Kantorovich, L. V., Akilov, G. P.,Functional Analysis, Pergamon Press, 1986.
[5]Tarski, A., Mckinsey, J. C. C.,A Decision Method for Elementary Algebra and Geometry, 2nd ed., 1951.
[6]Wang Xinghua, Convergence of an iterative procedure,Kexue Tongbao, 1975, 20(12): 558.
[7]Wang Xinghua, On the zeros of analytic functions,J. of Nature, 1981, 4(6): 474.
[8]Wang Xinghua, Han Danfu, On the dominating sequence method in the point estimates and Smale’s theorem,Science in China, Ser. A, 1990, 33(2): 135.