ISSN:
1436-4646
Keywords:
Complementary Pivoting Algorithms
;
Fixed Points
;
Triangulations
;
Homeomorphism
;
Linearity
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract In the past decade various complementary pivoting algorithms have been developed to search for fixed points of certain functions and point to set maps. All these methods generate a sequence of simplexes which are ‘shrinking’ to a point. This paper proposes a new method for shrinking the simplexes. It is shown that under certain conditions, the function whose fixed point is sought may be used to control this shrinking process. A computational method for implementing these ideas is also suggested and several examples are solved using this approach.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01589346
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