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4 cards from this section. Quick, good the night before a test.
Define absolute error.
Think about the absolute value function.
What is the main purpose of numerical methods?
Consider situations where solving analytically is difficult.
What is the formula for calculating absolute error?
Remember the definition of absolute error.
True or False: A well-conditioned problem causes large changes in output for small changes in input.
Think about how sensitive a problem's output is.
You have an algorithm with an absolute error of 0.5 when the true value is 10. Discuss how this affects the algorithm's reliability.
Think about the significance of the absolute error relative to the true value.
In your research, you find that a numerical method is producing results that vary widely with minor changes in input data. Evaluate whether the method is well-conditioned or ill-conditioned.
Assess the relationship between input changes and output stability.
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