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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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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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A Linear- and Linear-Matrix-Inequality-Constrained Extended Kalman Filter
2018 Annual American Control Conference (ACC), 2018This study proposes a method for state estimation of nonlinear systems that incorporates linear- and linear-matrix-inequalities as constraints on the state estimate. Rewriting the standard maximum likelihood objective function used to derive the Kalman filter allows the Kalman gain to be found by solving a constrained optimization problem with a linear
Robin Aucoin +2 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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A Newton-like method for solving rank constrained linear matrix inequalities
Automatica, 2006Uwe Helmke, John B Moore
exaly