condition number of a function


by chuy52506
Tags: condition, function, number
chuy52506
chuy52506 is offline
#1
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
HallsofIvy is offline
#2
Mar22-12, 10:35 PM
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Thanks
PF Gold
P: 38,898
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
chuy52506 is offline
#3
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
chuy52506 is offline
#4
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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