Floating Point Numbers
>> eps
ans =
2.2204e-016
>> realmin
ans =
2.2251e-308
>> realmax
ans =
1.7977e+308
Dr. Hanif Durad 2
SCMO, P-3→5
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Floating Point Numbers: Understanding Precision and Significant Digit Cancellation, Exercises of Machine Learning
The concepts of floating point numbers, their minimum and maximum values, and the cancellation of significant digits during arithmetic operations. Dr. Hanif durad provides examples using matlab to illustrate these concepts and highlights the imprecision that can result from significant digit cancellation.
Typology: Exercises
2011/2012
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Floating Point Numbers>> epsans =
2.2204e-
realminans =
2.2251e-
realmaxans =
1.7977e+
Dr. Hanif Durad
SCMO, P-
Floating Point Numbers
a = 1; b=1; while a+b ~= a; b=b/2; end>> aa =
bb =
1.1102e-
a+bans =
Dr. Hanif Durad
cancellation of significant digits
x = 1.0e-15x =
1.0000e-
((1+x)-1)/xans =
This result is rather imprecise, the relative error being larger than11%!
Dr. Hanif Durad