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Linear inequalities, mathematical programming and matrix theory
Mathematical Programming, 1971A survey is made of solvability theory for systems of complex linear inequalities. This theory is applied to complex mathematical programming and stability and inertia theorems in matrix theory.
Abraham Berman, Adi Ben-Israel
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On the Low Rank Solutions for Linear Matrix Inequalities
Mathematics of Operations Research, 2008In this paper we present a polynomial-time procedure to find a low-rank solution for a system of linear matrix inequalities (LMI). The existence of such a low-rank solution was shown in the work of Au-Yeung and Poon and the work of Barvinok. In the approach of Au-Yeung and Poon an earlier unpublished manuscript of Bohnenblust played an essential role.
Wenbao Ai, Yongwei Huang, Shuzhong Zhang
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Consensus Maximization with Linear Matrix Inequality Constraints
2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2017Consensus maximization has proven to be a useful tool for robust estimation. While randomized methods like RANSAC are fast, they do not guarantee global optimality and fail to manage large amounts of outliers. On the other hand, global methods are commonly slow because they do not exploit the structure of the problem at hand.
Pablo Speciale +5 more
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Estimation of Camera Projection Matrix Using Linear Matrix Inequalities
2016 Joint 8th International Conference on Soft Computing and Intelligent Systems (SCIS) and 17th International Symposium on Advanced Intelligent Systems (ISIS), 2016This paper proposes some methods for estimating camera projection matrix from given 3D coordinate vectors of feature points and 2D coordinate vectors of the projected feature points on the image plane. It is well-known that the problem is formulated as the L2 minimization problem of the sum of reprojection errors, which is very hard to solve because ...
Yoshimichi Ito, Yuta Oda
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Linear Matrix Inequalities in Automatic Control
2011Bernal, Miguel, Guerra, Thierry-Marie
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