Optimization with convex constraints and convex objectives; notions related to convex optimization such as sub-gradients, normal cones, separating hyperplanes

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### optimization with eigenvector composition

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### Relative interior of subdifferential

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### Maximizing a function that is sum of gaussians

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### Is there any efficient solution of the matrix equation AXB + (AXB)' + cX = D

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### Is KL divergence $D(P||Q)$ strongly convex over $P$ in infinite dimension

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### Iterative methods for minimizing sequences

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### Fenchel conjugate on a Hadamard manifold

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### concavity of $\log [ (1+\frac{x_0}{1+x_0+x_1/2+x_2/4}) (1+\frac{x_1}{1+x_0/4+x_1+x_2/2}) (1+\frac{x_2}{1+x_0/2+x_1/4+x_2}) ]$

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### Quasi-concavity of $f(x)=\frac{1}{x+1} \int_0^x \log \left(1+\frac{1}{x+1+t} \right)~dt$

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### Lower semicontinuity of proximal gradient descent sequence

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### Strict complementary slackness for semidefinite programs with strong duality

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### Strong polynomial algorithm for linear programming

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### Quasi-concavity of $f(x)=(1-\frac{x}{1000})\log_2(1+2^x)$ on $[0~1000]$

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### Minimize the variance of a Boltzmann distribution

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### Relative interior of a normal cone at a face of a convex polytope?

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### Is this parametrized semidefinite program convex?

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### Is this set of polynomial constraints convex? Can I optimise it?

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### Linearly constrained saddle-point optimization

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### Convex integer programming on totally unimodular polytope?

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### non-convex optimization with constraint

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### Maximizing mutual information between two linearly projected random variables

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### Linear program with one quadratic condition convex in domain of interest polynomial time solvable?

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### Optimization of generalized Fisher information over space of probability measures

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**2**answers

### Lagrange Multipliers for two constraints, degenerate case

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### Efficient algorithm for solving a convex quadratic program [duplicate]

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### Projecting two convex polyhedra onto their intersection

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### Convex hull of the Stiefel manifold with non-negativity constraints

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### Suggestions to solve an optimization problem that involves quadratic forms

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### Constructive version of Hilbert Projection Theorem

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### Discrete primal-duality in optimization

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### Inf of Jensen's inequality

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### Minimization over a convex function of equal vs unequal success probabilities of Bernoulli random variables

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### In convex optimization we know that the optimum solution is on which hyper plane

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### Does a half plane contain intersection of some other half planes? [closed]

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### Can the sum of quasiconcave functions always be made quasiconcave?

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### Complexity of conic optimization problems

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### Optimization of non-smooth convex function in a polytope

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### Projection onto the “Quadratic Form”

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### How is the minimax oracle used to find the oracle complexity of projected subgradient?

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### Are there examples of both strongly convex and smooth functions for $l_p$ norm?

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### Wasserstein distance and the Kantorovich-Rubinstein duality

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### Dimensions of faces of convex hull of convex bodies

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### Derivative with multiple summation operators

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### Regularized convex relaxation of PCA

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### Finding a mixture of 1st and 0'th order Markov models that is closest to an empirical distribution

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### Lipschitz of the minimum curve of a convex function of two variables

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### Possible analytical way to solve or approximate a specific optimization problem's solution

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### Norm of solution of quadratic program

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### Is this function always bounded below?

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