Condition Number of a Function

03162020, 06:31 AM
Post: #1




Condition Number of a Function
Condition number for a function f(x) is:
Cond = abs( x * d/dx f(x) / f(x) ) If the condition number is low, then function is not sensitive to small changes. This is similar to the condition number for matrices, where a low number gives for a wellconditioned problem while a higher number gives for an illconditioned problem. HP Prime Program CONDFX Arguments: f(X) as a string, use the capital X as a variable; a: value Syntax: CONDFX(f, a) Code: EXPORT CONDFX(f,a) Note: The derivative is calculated manually. Example: (in Radians mode) CONDFX("2*X*COS(X)",1.5) returns 20.15361502 CONDFX("e^(.25*X)",1.5) returns 0.374995308312 Blog link: http://edspi31415.blogspot.com/2020/03/h...ition.html 

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