Consider the linear system $A x = b$, where $A$ is an invertible, $n \times n$, real matrix. I would like to compute a "cheap" upper bound on the (p-)norm of the solution; i.e. $\|x\|_p$. One can, of course, solve the system and get the exact value in $O(n^3)$ time. Can we get an upper bound on $\|x\|_p$ any quicker than this?
2026-03-29 16:38:56.1774802336
Computing a "cheap" upper bound on the norm of the solution to a linear system
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