Conic optimization is a subfield of convex optimization that studies problems consisting of minimizing a convex function over the intersection of an affine...

Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently...

mixed-integer quadratic, quadratically constrained, conic and convex nonlinear mathematical optimization problems. The applicability of the solver varies...

generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems arise in all quantitative disciplines from...

Robust optimization is a field of mathematical optimization theory that deals with optimization problems in which a certain measure of robustness is sought...

Linear matrix inequality Conic optimization Semidefinite programming Second-order cone programming Sum-of-squares optimization Quadratic programming (see...

100th birthday of the conic constant and Schwarzschild's revolutionary papers in optics". Novel Optical Systems Design and Optimization VIII. 5875. International...

integer optimization. ModelCenter – a graphical environment for integration, automation, and design optimization. MOSEK – linear, quadratic, conic and convex...

non-linear optimization with an NP-hard complexity, copositive optimization allows a conic reformulation of these hard problems as a linear optimization problem...

segment of a parabola. As a parabola is a conic section, some sources refer to quadratic Béziers as "conic arcs". With reference to the figure on the...

Dimitris; Cory-Wright, Ryan; Pauphilet, Jean (2021). "Mixed-Projection Conic Optimization: A New Paradigm for Modeling Rank Constraints". Operations Research...

cone. Therefore, SDP is a special case of conic optimization, which is a special case of convex optimization. When the matrix C is diagonal, the inner...

reformulate the weighted sum rate optimization problem to a weighted sum MSE problem with additional optimization MSE weights for each symbol in. However...

distances along all other parallels are stretched. Conic projections that are commonly used are: Equidistant conic, which keeps parallels evenly spaced along...

(described below) are often much more difficult to create. The sides of a conic profile are straight lines, so the diameter equation is simply: y = x R...

generalized conic has found applications in approximation theory and optimization theory. Among the several possible ways in which the concept of a conic can...

programming (also known as mathematical optimization). More formally, linear programming is a technique for the optimization of a linear objective function, subject...

Dimitris; Cory-Wright, Ryan; Pauphilet, Jean (2021), "Mixed-Projection Conic Optimization: A New Paradigm for Modeling Rank Constraints", Operations Research...

In mathematical optimization, a quadratically constrained quadratic program (QCQP) is an optimization problem in which both the objective function and...

Optimization, with LP, QP, QCQP, SOCP (and other conic problem types) and NLP solvers, derivative-free global solvers and multiobjective optimization...

theory, practice, and application of convex optimization, especially semidefinite programming and conic programming. Toh received BSc (Hon.) in 1990...

linear to convex optimization problems, based on a self-concordant barrier function used to encode the convex set. Any convex optimization problem can be...

convex function over a power cone. "MOSEK Modeling Cookbook - the Power Cones". Nesterov, Yurii (2006). Towards nonsymmetric conic optimization. v t e...

mathematical notation of optimization problems. This allows for a very concise and readable definition of problems in the domain of optimization. Many modern solvers...

design, and grasping force optimization in robotics. Applications in quantitative finance include portfolio optimization; some market impact constraints...

programming, semidefinite programming, conic optimization, nonlinear programming, and other classes of optimization problems. JuMP provides access to over...

of curves may also arise in other areas. For example, all non-degenerate conic sections can be represented using a single polar equation with one parameter...

system for mathematical optimization. GAMS is designed for modeling and solving linear, nonlinear, and mixed-integer optimization problems. The system is...

: (Thm. 1.1)  n-ellipses are special cases of spectrahedra. Generalized conic Geometric median J. Sekino (1999): "n-Ellipses and the Minimum Distance...

{\displaystyle \;c_{1}~.} This bivariate quadratic form appears in the context of conic sections centered on the origin. If the general quadratic form above is...