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Title Petição Lance Author Lance Created Date PMLet f(x) = xTAx bx cwhere Ais symmetric Then f is convex if and only if A 0, independently of b;c (why?) Consider now the unconstrained optimization problem min x f(x) (7) We can establish the following claims A 0 (fnot convex) )problem (7) is unbounded below Proof Let xbe an eigenvector with a negative eigenvalue Then A x = x )x TAx ☒ q u a r t e r ly r e p o r t p u r s u a n t to s e c t i o n 1 3 o r 1 5 (d ) o f t h e s e c u r i t i e s e x c h a n g e a c t o f 1 9 3 4 F o r t h e q u a rt e rl y p e ri o d e n d e d Ma y 1 , 2 0 2 1
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