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New posts in convex-analysis
Union of convex sets
geometry
convex-analysis
Making sense out of "field", "algebra", "ring" and "semi-ring" in names of set systems
abstract-algebra
general-topology
measure-theory
elementary-set-theory
convex-analysis
Relation between Positive definite matrix and strictly convex function
linear-algebra
convex-analysis
How to remember which function is concave and which one is convex?
convex-analysis
mnemonic
If $(\nabla f(x)-\nabla f(y))\cdot(x-y)\geq m(x-y)\cdot(x-y)$, why is $f$ convex?
convex-analysis
A tree of convex sets?
convex-analysis
How can it be proved that the geometric mean function is concave?
multivariable-calculus
induction
convex-analysis
Strictly convex function: how often can its second derivative be zero?
calculus
real-analysis
convex-analysis
The conjugate function of infimal convolution
convex-analysis
convex-optimization
duality-theorems
Convex hull of orthogonal matrices
matrices
convex-analysis
orthogonal-matrices
convex-hulls
Prove that the sum of convex functions is again convex.
calculus
convex-analysis
Is the set of matrices with constrained condition numbers a convex set?
linear-algebra
matrices
eigenvalues-eigenvectors
convex-analysis
condition-number
How to prove that $C = cc^T$ is not convex?
optimization
convex-analysis
convex-optimization
constraints
non-convex-optimization
Proof: A function is convex iff it is convex when restricted to any line ..
convex-analysis
convex-optimization
Is KKT conditions necessary and sufficient for any convex problems?
convex-analysis
convex-optimization
duality-theorems
karush-kuhn-tucker
How to prove that the closed convex hull of a compact subset of a Banach space is compact?
convex-analysis
banach-spaces
compactness
Is there a "global" convexity locally around a minimum?
real-analysis
calculus
probability
convex-analysis
solution-verification
About the inequality $rx^{r-1}\left(\sqrt{xy}-y\right)>x^{r}-y^{r}$ for $x>y>0$ and $r<0$
inequality
convex-analysis
Limit of derivatives of convex functions
real-analysis
convex-analysis
Consequence of concavity
real-analysis
convex-analysis
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