Definition of Subderivative. Meaning of Subderivative. Synonyms of Subderivative

Here you will find one or more explanations in English for the word Subderivative. Also in the bottom left of the page several parts of wikipedia pages related to the word Subderivative and, of course, Subderivative synonyms and on the right images related to the word Subderivative.

Definition of Subderivative

Subderivative
Subderivative Sub`de*riv"a*tive, n. A word derived from a derivative, and not directly from the root; as, ``friendliness' is a subderivative, being derived from ``friendly', which is in turn a derivative from ``friend.'

Meaning of Subderivative from wikipedia

- subderivatives (or subgradient) generalizes the derivative to convex functions which are not necessarily differentiable. The set of subderivatives at...
- many subderivatives at zero, with just one of them taking the value sgn ⁡ ( 0 ) = 0 {\displaystyle \operatorname {sgn}(0)=0} . A subderivative value...
- Convex function Invex function Legendre transformation Semi-continuity Subderivative Main results (list) Carathéodory's theorem Ekeland's variational principle...
- at each real number x {\displaystyle x} we have a nonempty set of subderivatives, which may be thought of as lines touching the graph of φ {\displaystyle...
- for problems of differential equations and in functional analysis. Subderivative Weyl's lemma (Laplace equation) Gilbarg, D.; Trudinger, N. (2001). Elliptic...
- differentiable due to the kink at x = 0. Subgradient methods which rely on the subderivative can be used to solve L 1 {\displaystyle L_{1}} regularized learning...
- Subgradient method — class of optimization methods for nonsmooth functions. Subderivative Clarke, F. H. (1975). "Generalized gradients and applications". Transactions...
- Logarithmically convex function Pseudoconvex function Quasiconvex function Subderivative of a convex function "Lecture Notes 2" (PDF). www.stat.cmu.edu. Retrieved...
- {\displaystyle h_{j}\colon \mathbb {R} ^{n}\rightarrow \mathbb {R} } have subderivatives at a point x ∗ ∈ R n {\displaystyle x^{*}\in \mathbb {R} ^{n}} . If...
- semi-continuous extended real-valued functional on H. Let A stand for ∂φ, the subderivative of φ; for α > 0 let Jα denote the resolvent: J α = ( i d + α A ) − 1...