machine precision and numerical cancellation

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sadek misto kirdi 2019-7-9

评论： sadek misto kirdi 2019-7-11

i have a question which is : "let x and y be two machine numbers working with a certain arithmetic with machine precision (mp) then" :

1) x+em=x for all x

2) x> em for all x

3) for all x and y the operation x-y is not affected by numerical cancellation

4) x-y is a machine number for all x and y

I'm torn between the first and the second answer so can someone tell me which one and why please?

thanks

David Goodmanson 2019-7-10

well, is case 4 asking about the accuracy of x-y?

sorry i didnt understand your question

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