[Solving System of Linear Equations] What is the norm of the error and how is it different from the norm of the residual?

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John H 2018-6-5

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编辑： Rishabh Rathore 2018-6-5

So I am given two systems: Ax=b and Bx=c where A & B are n by n matrices and b and c are vectors of n size. I'm supposed to solve each system for x using "inv" and "\" functions and calculate the norm of the residual and norm of error. I know how to calculate the rest BUT I don't know how to calculate the norm of the error. What is the norm of the error?

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Answer 1

Rishabh Rathore 2018-6-5

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编辑：Rishabh Rathore 2018-6-5

Error refers to the difference between the observed value and the actual values while residual is the disagreement between the observed values and the estimated values of the observed quantity.

For as how to calculate, you may refer this link