Let $\mathbf{a}$ be a vector with positive entries and $\mathbf{b}$ be a complex vector, then is the following function joint convex on $\mathbf{a}$ and $\mathbf{b}$? $$\sum_{m=1}^{M} a_m |b_m|^2.$$
2026-04-13 07:04:22.1776063862
Joint Convexity of weighted norm of a vector
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