From section 3.4.1 of Stephen Boyd & Lieven Vandenberghe's Convex Optimization:
A function is quasilinear if its domain and every level set $\{x \mid f(x) = \alpha \}$ is convex.
How to prove it?
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Tony
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How to prove what exactly? – LinAlg Feb 03 '21 at 19:00
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From the definition, a function is quasilinear if it's both quasiconvex and quasiconcave. I don't understand why the condition "the domain and every level set is convex" can lead to "being both quasiconvex and quasiconcave" – Tony Feb 04 '21 at 12:14