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That is, strict quasiconvexity requires that a point directly between two other points must give a lower value of the function than one of the other points does. A quasiconcave function is a function whose negative is quasiconvex, and a strictly quasiconcave function is a function whose negative is strictly quasiconvex.
Quasiconvexity is a generalisation of convexity for functions defined on matrices, to see this let and ((,),) with (,) =. The Riesz-Markov-Kakutani representation theorem states that the dual space of C 0 ( R m × d ) {\displaystyle C_{0}(\mathbb {R} ^{m\times d})} can be identified with the space of signed, finite Radon measures on it.
In convex analysis and the calculus of variations, both branches of mathematics, a pseudoconvex function is a function that behaves like a convex function with respect to finding its local minima, but need not actually be convex.
A fractional program in which f is nonnegative and concave, g is positive and convex, and S is a convex set is called a concave fractional program.If g is affine, f does not have to be restricted in sign.
Public health experts are warning of a ‘quad-demic’ this winter. Here’s where flu, COVID, RSV, and norovirus are spreading
The Los Angeles Dodgers have agreed to terms with utility player Hyeseong Kim on a three-year contract for $12.5 million with a two-year club option for 2028 and 2029.
The White House said the president wants to end a carried interest tax break prized by Wall Street hedge funds and private equity firms.
A synonym for a function between sets or a morphism in a category. Depending on authors, the term "maps" or the term "functions" may be reserved for specific kinds of ...