Euclidean Distance Bounds for Linear Matrix Inequalities Analytic Centers Using a Novel Bound on the Lambert Function

作者：Biel Roig-Solvas, M. Sznaier · 发表于：SIAM Journal of Control and Optimization · 年份：2022 · DOI：10.1137/20m1349928 · 被引用次数：2 · 研究领域：Computer Science

References: [1] F. Alzahrani and A. Salem, Sharp bounds for the Lambert W function, Integral Transforms Spec. Funct., 29 (2018), pp. 971-978, https://doi.org/10.1080/10652469.2018.1528247. · Zbl 1488.33070 [2] M. F. Anjos and J. B. Lasserre, Handbook on Semidefinite, Conic and Polynomial Optimization, Int. Ser. Oper. Res. Manag. Sci. 166, Springer, New York, 2011. · Zbl 1235.90002 [3] T. C. Banwell, Bipolar transistor circuit analysis using the Lambert W-function, IEEE Trans. Circuits Syst. I. Fundam. Theory Appl., 47 (2000), pp. 1621-1633, https://doi.org/10.1109/81.895330. · Zbl 1001.94057 [4] D. A. Barry, P. J. Culligan-Hensley, and S. J. Barry, Real values of the W-function, ACM Trans. Math. Software, 21 (1995), pp. 161-171, https://doi.org/10.1145/203082.203084. · Zbl 0886.65010 [5] D. A. Barry, J. Y. Parlange, L. Li, H. Prommer, C. J. Cunningham, and F. Stagnitti, Analytical approximations for real values of the Lambert W-function, Math. Comput. Simulation, 53 (2000), pp. 95-103, https://doi.org/10.1016/s0378-4754(00)001725. [6] F. Blanchini and S. Miani, Set-Theoretic Methods in Control, Birkhäuser Basel, Basel, 2007. · Zbl 1417.93008 [7] J. P. Boyd, Global approximations to the principal real-valued branch of the Lambert W-function, Appl. Math. Lett., 11 (1998), pp. 27-31, https://doi.org/10.1016/S0893-9659(98)00097-4. · Zbl 0940.65018 [8] S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM Stud. Appl. Ma...