- Title
- On the mean iteration (a,b) ← (a+3b/4, √ab+b/2)
- Creator
- Borwein, J. M.; Borwein, P. B.
- Relation
- Mathematics of Computation Vol. 53, Issue 187, p. 311-326
- Publisher Link
- http://dx.doi.org/10.1090/S0025-5718-1989-0968148-4
- Publisher
- American Mathematical Society
- Resource Type
- journal article
- Date
- 1989
- Description
- The iterative process an = (an + 3bn/4, bn+1 =(√anbn+bn)/2 is studied in detail. The limit of this quadratically converging process is explicitly identified, as are the uniformizing parameters. The role of symbolic computation, in discovering these nontrivial identifications, is highlighted.
- Subject
- arithmetic-geometric mean iteration; quadratically converging iterations; Borchardt's iteration; symbolic computation
- Identifier
- http://hdl.handle.net/1959.13/941082
- Identifier
- uon:13173
- Identifier
- ISSN:0025-5718
- Language
- eng
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