condition number of a function

by chuy52506
Tags: condition, function, number
chuy52506 is offline
Mar22-12, 08:17 PM
P: 77
Say i have the following function:
f(x)= {-45 , x<0.5
45 , x≥0.5}
where x[itex]\in[/itex] R is a real variable in [0,1]. What would the condition number k(x) be for all values of x?
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HallsofIvy is offline
Mar22-12, 10:35 PM
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First, do not post the same question more than once. I have deleted your post in "general mathematics".

Second, a function, by itself, does NOT have a "condition number". The condition number depends on the function and on what you are trying to do with it. What are you trying to do with this function?
chuy52506 is offline
Mar22-12, 11:03 PM
P: 77
sorry about that
Im trying to find the condition number k(x) for all values of x. I know the problem depends on the fact that x[itex]\in[/itex] [itex]\Re[/itex] is a real variable opposed to an integer variable but I have no idea how to do it

chuy52506 is offline
Mar23-12, 12:20 AM
P: 77

condition number of a function

is it possible for the condition number to be 0? I have a formula defining k as being:
||J||/(||f(x)||/||x||) where J is the jacobian of f.
So in this case the jacobian would be 0 and thus k=0?

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