Newton's method obeys Benford's law

被引：16

作者：

Berger, Arno ^{[1
]}

Hill, Theodore P.

机构：

[1] Univ Canterbury, Dept Math & Stat, Christchurch 1, New Zealand

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

关键词：

D O I：

10.1080/00029890.2007.11920449

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：588 / 601

页数：14

共 18 条

[1] [Anonymous], 1881, American Journal of Mathematics, DOI [10.2307/2369148, DOI 10.2307/2369148]
[2] AXLER S, 1985, ROUDNOFF ERROR DISTR, V34, P325
[3] Beardon A.F., 1991, Graduate Texts in Mathematics, V132
[4] Benford F., 1938, Proceedings of the American Philosophical Society, V78, P551, DOI DOI 10.2307/984802
[5] A characterisation of Newton maps
Berger, A.
Hill, T. P.
[J]. ANZIAM JOURNAL, 2006, 48 : 211 - 223
[6] One-dimensional dynamical systems and Benford's law
Berger, A
Bunimovich, LA
Hill, TP
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 357 (01) : 197 - 219
[7] BERGER A, 2001, CHAOS CHANCE
[8] BERGER A, 2005, DYN SYST A, V13, P217
[9] Colwell P., 1993, Solving Kepler's Equation Over Three Centuries
[10] DISTRIBUTION OF LEADING DIGITS AND UNIFORM-DISTRIBUTION MOD-1
DIACONIS, P
[J]. ANNALS OF PROBABILITY, 1977, 5 (01) : 72 - 81