In the context of numerical linear algebra, what is the product of the norm of A and the norm of A-inverse called?
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Condition number
The condition number measures how sensitive a linear system (Ax = b) is to errors or perturbations in the input data. A high condition number indicates an 'ill-conditioned' matrix where small changes in b can lead to large errors in x.
Also asked as:
- What value, calculated as $||A|| \cdot ||A^{-1}||$, measures the sensitivity of a linear system to input perturbations?