Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627191 | Applied Mathematics and Computation | 2015 | 7 Pages |
Abstract
Golden Ratio is defined by a proportion corresponding to the geometric mean. We introduce a generalized Golden Ratio as a fixed point of an operator defined by an arbitrary mean satisfying certain conditions. An algorithm for the evaluation of the generalized Golden Ratio is obtained using Banach’s fixed point theorem. As applications we show that some problems in shape optimization correspond to some aesthetic standards introduced in the paper.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ioana Crăciun, Daniela Inoan, Dorian Popa, Lucian Tudose,