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Topic: How to find a bounding line?
Replies: 39   Last Post: Jul 12, 2013 5:39 AM

 Messages: [ Previous | Next ]
 Scott Berg Posts: 2,111 Registered: 12/12/04
Re: How to find a bounding line?
Posted: Jul 7, 2013 6:45 PM

<ols6000@sbcglobal.net> wrote in message
>I have a N points (x_i, y_i). I want to find a bounding line y = ax + b,
>such that y_i - y(x_i) >= 0. x_i and y_i are positive integers; a, b and y
>are real,and x is an integer.
>
> y_i = i, and x_{i+1} > x_i for all i<N
>
> N is very large (100,000 - 1,000,000), so I'm looking for a method that is
> O(N) (or better).
>
> An ideas on how this line could be found, i e, how to determine a and b
> efficiently from the N data points?

you state N is two dimentional, then you have it as one dimentional ("for
all i<N").
Which is it ?

Date Subject Author
7/7/13 Woody
7/7/13 Scott Berg
7/7/13 Peter Percival
7/7/13 Woody
7/7/13 quasi
7/7/13 quasi
7/8/13 quasi
7/8/13 Woody
7/8/13 quasi
7/8/13 LudovicoVan
7/8/13 LudovicoVan
7/10/13 Woody
7/10/13 quasi
7/8/13 Leon Aigret
7/8/13 Woody
7/10/13 Leon Aigret
7/10/13 Leon Aigret
7/10/13 Woody
7/10/13 RGVickson@shaw.ca
7/10/13 Woody
7/10/13 quasi
7/7/13 quasi
7/7/13 quasi
7/7/13 quasi
7/8/13 William Elliot
7/8/13 Peter Percival
7/8/13 quasi
7/11/13 Woody
7/11/13 quasi
7/11/13 LudovicoVan
7/11/13 quasi
7/11/13 Leon Aigret
7/11/13 Woody
7/11/13 Leon Aigret
7/12/13 Woody
7/12/13 Leon Aigret
7/11/13 Woody
7/12/13 quasi
7/12/13 Woody
7/12/13 quasi