Maple concavification function











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I would like to know if there exists a maple function which assigns to a function $u:[0,1]to[0,1]$ its concavification $text{cav }u:[0,1]to[0,1]$ which is the least concave function above $u$.



For example $u$ is represented by the dotted line and $text{cav }u$ by the bold line.
Concavification



I have looked on the internet but have not found what I am looking for. Could anyone walk me through writting such a function?






convex-analysis maple







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  • No, I don't think there is such a function.
    – max_zorn
    14 hours ago










  • Could you please post a link to the Maple page of this function?
    – product
    14 hours ago















up vote
0
down vote

favorite
1












I would like to know if there exists a maple function which assigns to a function $u:[0,1]to[0,1]$ its concavification $text{cav }u:[0,1]to[0,1]$ which is the least concave function above $u$.



For example $u$ is represented by the dotted line and $text{cav }u$ by the bold line.
Concavification



I have looked on the internet but have not found what I am looking for. Could anyone walk me through writting such a function?






convex-analysis maple







share|cite|improve this question






















  • No, I don't think there is such a function.
    – max_zorn
    14 hours ago










  • Could you please post a link to the Maple page of this function?
    – product
    14 hours ago













up vote
0
down vote

favorite
1









up vote
0
down vote

favorite
1






1





I would like to know if there exists a maple function which assigns to a function $u:[0,1]to[0,1]$ its concavification $text{cav }u:[0,1]to[0,1]$ which is the least concave function above $u$.



For example $u$ is represented by the dotted line and $text{cav }u$ by the bold line.
Concavification



I have looked on the internet but have not found what I am looking for. Could anyone walk me through writting such a function?






convex-analysis maple







share|cite|improve this question













I would like to know if there exists a maple function which assigns to a function $u:[0,1]to[0,1]$ its concavification $text{cav }u:[0,1]to[0,1]$ which is the least concave function above $u$.



For example $u$ is represented by the dotted line and $text{cav }u$ by the bold line.
Concavification



I have looked on the internet but have not found what I am looking for. Could anyone walk me through writting such a function?






convex-analysis maple




convex-analysis maple






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked 19 hours ago









product

263




263












  • No, I don't think there is such a function.
    – max_zorn
    14 hours ago










  • Could you please post a link to the Maple page of this function?
    – product
    14 hours ago


















  • No, I don't think there is such a function.
    – max_zorn
    14 hours ago










  • Could you please post a link to the Maple page of this function?
    – product
    14 hours ago
















No, I don't think there is such a function.
– max_zorn
14 hours ago




No, I don't think there is such a function.
– max_zorn
14 hours ago












Could you please post a link to the Maple page of this function?
– product
14 hours ago




Could you please post a link to the Maple page of this function?
– product
14 hours ago















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