It is easy to prove that condition number for an orthogonal matrix $A$, $\kappa (A) = 1$ when induced by the $L2$ norm using the fact that: $$ ||A||_2 = \text{maximum eigenvalue of }A^TA $$ But how can we compute condition number for the $L1$ norm? Or in general for the $Lp$ norm?
2026-03-25 08:12:57.1774426377
Condition number of orthogonal matrices induced by the L1 norm
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