Development of a 3D Printing Liquid Crystal Display (LCD)-Assisted Micromolding Methodology for Custom Fabrication of Polymeric Microneedles Using Experimental Design. [PDF]
PharmaceuticsAntonara L +3 more
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A Quantum Interior-Point Method for Second-Order Cone Programming
, 2019 Kerenidis, Iordanis +2 more
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An Interior‐Point Trust‐Region Algorithm for General Symmetric Cone Programming
SIAM Journal on Optimization, 2007An interior-point trust-region algorithm is proposed for minimizing a general (non-convex) quadratic objective function in the intersection of a symmetric cone and an affine subspace. The algorithm uses a trust-region model to ensure descent on a suitable merit function. Global first-order and second-order convergence results are proved.
Ye Lu, Ya-Xiang Yuan
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A non-interior continuation method for second-order cone programming
Optimization, 2009We extend the smoothing function proposed by Huang, Han and Chen [Journal of Optimization Theory and Applications, 117 (2003), pp. 39–68] for the non-linear complementarity problems to the second-order cone programming (SOCP). Based on this smoothing function, a non-interior continuation method is presented for solving the SOCP.
Sanyang Liu, Xiaoni Chi
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A circular cone relaxation primal interior point algorithm for LP
Optimization, 2003We consider a primal interior point algorithm for LP. The method uses a search direction obtained by minimizing the original objective over a linearly transformed section of the circular cone circumscribed around the nonnegative orthant. If the latter problem has a finite solution, it provides a lower bound for the optimal objective and a target point ...
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A new non-interior continuation method for second-order cone programming
Journal of Numerical Mathematics, 2013Jingyong Tang, Guoping He, Liang Fang
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A new corrector–predictor interior-point method for symmetric cone optimization
Periodica Mathematica Hungarica, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B. Kheirfam, N. Hosseinpour, H. Abedi
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Cones with semi-interior points and equilibrium
Journal of Mathematical Economics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BASILE, ACHILLE +3 more
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Interior Point Methods for Second-Order Cone Programming and OR Applications
Computational Optimization and Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu-Ju Kuo, Hans D. Mittelmann
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Convex Cones and Generalized Interiors
2011The notion of a convex cone, which lies between that of a linear subspace and that of a convex set, is the main topic of this chapter. It has been very fruitful in many branches of nonlinear analysis. For instance, closed convex cones provide decompositions analogous to the well-known orthogonal decomposition based on closed linear subspaces. They also
Heinz H. Bauschke, Patrick L. Combettes
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