Inverse Problems
Relative error is a measure of the uncertainty of a measurement compared to the size of the measurement itself, typically expressed as a fraction or percentage. This concept helps assess the accuracy of numerical approximations in calculations and simulations, revealing how significant an error is in the context of the magnitude of what is being measured. Understanding relative error is crucial in numerical computations, especially when implementing algorithms, performing singular value decompositions, or using adaptive discretization techniques, as it provides insight into the stability and reliability of solutions.
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