- In mathematics, a
quasiconvex function is a real-valued
function defined on an
interval or on a
convex subset of a real
vector space such that the inverse...
- In the
calculus of variations, a
subfield of mathematics,
quasiconvexity is a
generalisation of the
notion of convexity. It is used to
characterise the...
-
attains its minimum. The
convexity of all the
sublevel sets
characterizes quasiconvex functions.
Epigraph Level-set
method Level set (data structures) Simionescu...
-
pseudoconvex function is
quasiconvex; but the
converse is not true,
since the
function f ( x ) = x 3 {\displaystyle f(x)=x^{3}} is
quasiconvex but not pseudoconvex...
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Quasilinear may
refer to:
Quasilinear function, a
function that is both
quasiconvex and
quasiconcave Quasilinear utility, an
economic utility function linear...
-
Tjalling C.; Debreu, Gérard (December 1982). "Additively
decomposed quasiconvex functions" (PDF).
Mathematical Programming. 24 (1). Springer: 1–38. doi:10...
- to be
continuously differentiable with
nonsingular Jacobian matrix.
Quasiconvex functions and
quasiconcave functions extend the
concept of unimodality...
-
notions of convexity,
quasiconvexity and rank-one
convexity through the
following diagram: f convex ⟹ f polyconvex ⟹ f
quasiconvex ⟹ f rank-one convex...
- {\displaystyle Y} of a
geodesic metric space X {\displaystyle X} is said to be
quasiconvex if
there is a
constant C {\displaystyle C} such that any
geodesic in...
- the functions. For
convex functions or
quasiconvex functions, the
upper envelope is
again convex or
quasiconvex. The
lower envelope is not, but can be...
