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Talk:Finite Arithmetic

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This page is just a skelleton. I will add content as time permits. The main purpose of putting this up is to define what goes where in the track Numerical Algorithms.

Goals

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After finishing this course, students should:

  • Know how floating-point numbers are represented, specifically as defined by IEEE 754.
  • Know what eps, realmin, realmax and denormalized numbers are.
  • Know the common problems in using finite-precision arithmetic and know how to avoid them when possible.

Take-Home Message

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  • Numbers have a finite relative precision.
  • Floating-Point numbers may cause avoidable errors.
  • Special care has to be taken to avoid such errors.
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