repository open issue

Index

A

Accumulation point Analysis matrix

Approximate Subdifferential Approximate subgradient Atom

B

Babel function Baire space Banach space Barrier cone barrier vector Basic feasible solution

Biconjugate Bolzano-Weierstrass property Boundary Boundary point Bounded function Boundedness metric space

C

Cantor set Cardinal number Cardinality of the continuum Cartesian product Chain Choice function Closed ball Closed convex function Closed function extended real valued Closed set Closure Closure point Co-meager set Coherence arbitrary matrices Compact metric space Compact set Complete metric space Compressed sensing Compressive sampling Compressive sensing embedding explanation

Concave function Cone Conic combination Conic hull Conjugate function Connected subset Connectedness Contour Convergence metric space Convex combination Convex cone Convex function closure effective domain extended value extension improper proper strict Convex hull Convex set dimension Countable set

D

Deleted neighborhood Dense set Derived set Descent direction Diameter Dictionary incoherent spark

Differentiability proper function Directional derivative Distance point and set set and set Dual cone

E

Effective domain Enumeration Epigraph Equivalence class Equivalence relation Equivalent metrics Equivalent norms Equivalent sets Extended real valued function closed function contour epigraph graph hypograph limit inferior limit superior proper function strict epigraph sublevel set superlevel set

Extended value extension Extreme point

F

Family of sets index set intersection pairwise disjoint union Feasible direction Finite set Frontier Frontier point Function bijective composition composition (total) domain equality extension graph identity injective inverse inverse (total) partial range restriction set image set inverse image surjective total value

G

Gauge function Global maximum

Global minimum Grassmannian frame

H

Halfspace lower and closed upper and closed Hyperplane horizontal nonvertical vertical

Hypograph

I

Improper function Incoherent dictionary Indicator function, [1] Infinite cardinal number

Infinite set Interior Interior point Isolated point

L

Limit inferior extended real valued Limit superior extended real valued Line vertical Line segment

Linear transformation bounded Local extreme value Locally bounded function Lower semicontinuity extended real valued Lower semicontinuous hull

M

Matrix spark Max crossing problem Maximin problem Meager set Measurement space Metric induced by norm Metric space Cauchy sequence completion convergence finite product from a norm open cover sequence

Metric subspace Min common problem Minimax problem Min common/max crossing framework Mutual coherence

N

Natural numbers segment Non-meager set Norm Norm cone Norm topology Normal cone normal vector

Normed linear space bounded set continuity convergence unit ball Normed space Nowhere dense set Null space property

O

Open ball

Open set Ordered pair

P

Partial order lower bound maximal element minimal element upper bound Partially ordered set

Pointed cone Polar cone Polyhedral cone Power set Proper cone Proper function Proximity

Q

Quasi convex function

Quasi incoherent dictionary

R

Ray Real valued function partial order Relation binary composition functional injective intersection many-to-many many-to-one one-to-many one-to-one serial surjective union

S

Saddle point minimax Self dual cone Semicontinuity extended real valued Sequence eventual satisfaction Set complement disjoint empty equality operations singleton symmetric difference Set of real valued functions Set partition Set valued function composition domain inverse range selection set image single valued Sign vector complex

Signal $K$-term approximation compressible mask restriction Signal space Simplex k-simplex midpoint Stationary point Strict epigraph Strict global maximum Strict global minimum Strongly equivalent metrics Subdictionary Subdifferentiability domain Subdifferential Subgradient Sublevel set Subsequence Subset proper Subset equivalence Superlevel set Support function Synthesis matrix

T

Tangent cone Tangent direction Topology

Total order Totally bounded metric space Totally ordered set Two ortho basis

U

Uncountable set

Upper semicontinuity extended real valued