Linked Data Explorerhttp://worldcat.org/entity/work/id/102109079
AN ODD THEOREM
Let C be a bounded convex polyhedral set and let f:C(arrow)C be continuous and piecewise linear. Using notions from complementary pivot theory, it is shown that if each fixed point of f lies interior to some piece of linearity, then f has an odd number of fixed points. In addition, an algorithm is given for computing a fixed point of f.
Open All Close All
http://schema.org/about
- http://experiment.worldcat.org/entity/work/data/102109079#Topic/mathematical_programming
- http://experiment.worldcat.org/entity/work/data/102109079#Topic/convex_sets
- http://experiment.worldcat.org/entity/work/data/102109079#Topic/linear_programming
- http://experiment.worldcat.org/entity/work/data/102109079#Topic/simplex_method
- http://experiment.worldcat.org/entity/work/data/102109079#Topic/graphics
- http://experiment.worldcat.org/entity/work/data/102109079#Topic/theorems
- http://experiment.worldcat.org/entity/work/data/102109079#Topic/algorithms
- http://experiment.worldcat.org/entity/work/data/102109079#Topic/operations_research
http://schema.org/description
- "Let C be a bounded convex polyhedral set and let f:C(arrow)C be continuous and piecewise linear. Using notions from complementary pivot theory, it is shown that if each fixed point of f lies interior to some piece of linearity, then f has an odd number of fixed points. In addition, an algorithm is given for computing a fixed point of f."@en
http://schema.org/name
- "AN ODD THEOREM"@en