Numerical Approximation Residual

A Numerical Approximation Residual is an Error#Experimental_science that ...

• AKA: Residual (Numerical Analysis).
• See: Error#Experimental_science.

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References

2020

• (Wikipedia, 2020) ⇒ https://en.wikipedia.org/wiki/Residual_(numerical_analysis) Retrieved:2020-2-9.
  • Loosely speaking, a residual is the error in a result. To be precise, suppose we want to find x such that : [math]\displaystyle{ f(x)=b.\, }[/math] Given an approximation x₀ of x, the residual is : [math]\displaystyle{ b - f(x_0)\, }[/math] whereas the error is : [math]\displaystyle{ x - x_0\, }[/math] If the exact value of x is not known, the residual can be computed, whereas the error cannot.

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