Most nonliner programming problems consist of functions which are sums of unary convex functions of linear fuctions.In this paper,we derive the duality forms of the unary convex optimization,and these technuques are a...Most nonliner programming problems consist of functions which are sums of unary convex functions of linear fuctions.In this paper,we derive the duality forms of the unary convex optimization,and these technuques are applied to the geometric programming and minimum discriminaiton information problems.展开更多
The hh-transforms of positivity preserving semigroups and their associated Markov processes are investigated in this paper. In particular, it is shown that any quasi-regular positivity preserving coercive form is hh-a...The hh-transforms of positivity preserving semigroups and their associated Markov processes are investigated in this paper. In particular, it is shown that any quasi-regular positivity preserving coercive form is hh-associated with a pair of special standard processes which are in weak duality.展开更多
文摘Most nonliner programming problems consist of functions which are sums of unary convex functions of linear fuctions.In this paper,we derive the duality forms of the unary convex optimization,and these technuques are applied to the geometric programming and minimum discriminaiton information problems.
文摘The hh-transforms of positivity preserving semigroups and their associated Markov processes are investigated in this paper. In particular, it is shown that any quasi-regular positivity preserving coercive form is hh-associated with a pair of special standard processes which are in weak duality.
