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Applications of second-order cone programming
Second-order cone programming linear function affine sets linear nonlinear convex problem quadratic program
2015/8/11
In a second-order cone program (SOCP) a linear function is minimized over the intersection of an affine set and the product of second-order (quadratic) cones. SOCPs are nonlinear convex problems that ...
Advances in convex optimization: Interior-point methods, cone programming, and applications
Convex optimization linear programming nonlinear convex programming program robust
2015/8/11
In this talk I will give an overview of some major developments in convex optimization that have emerged over the last ten years or so. The basic idea is that convex problems are fundamentally tractab...
Array signal processing with robust rejection constraints via second-order cone programming
Vector and array signal processing noise the ellipsoid array robust optimization
2015/8/10
We consider the array signal processing problem of choosing the weight vector to minimize noise power, subject to a unit array gain for the desired wave, and subject to rejection constraints on interf...
Code generation for embedded second-order cone programming
The validation code convex optimization embedded applications the second-order cone programming
2015/8/7
This paper describes a framework for generating easily verifiable code to solve convex optimization problems in embedded applications by transforming them into equivalent second-order cone programs. I...
In a second-order cone program (SOCP) a linear function is minimized over the intersection of an affine set and the product of second-order (quadratic) cones. SOCPs are nonlinear convex problems that ...
Advances in Convex Optimization:Interior-point Methods,Cone Programming, and Applications
Advances in Convex Optimization Interior-point Methods Cone Programming Applications
2015/7/10
In this talk I will give an overview of some major developments in convex optimization that have emerged over the last ten years or so. The basic idea is that convex problems are fundamentally tractab...
Code Generation for Embedded Second-Order Cone Programming
Code Generation Embedded Second-Order Cone Programming
2015/7/9
This paper describes a framework for generating easily verifiable code to solve convex optimization problems in embedded applications by transforming them into equivalent second-order cone programs. I...
Error bound optimization using second order cone programming
Error bound optimization second order cone programming
2015/6/26
In safety of life applications using satellite navigation, the Protection Level (PL) equation translates what is known about the pseudorange errors into a hard bound on the positioning error (the Prot...
An Interior-point Trust Region Algorithm for General Symmetric Cone Programming
interior-point algorithm trust-region subproblem symmetric cone
2012/8/1
An interior-point trust-region algorithm is proposed for minimization of general (perhaps, non-convex) quadratic objective function over the domain obtained as the intersection of a symmetric cone wit...