Sum of squares method for sensor network localization
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DOI: 10.1007/s10589-007-9131-z
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Cited by:
- Meng-Meng Zheng & Zheng-Hai Huang & Sheng-Long Hu, 2022. "Unconstrained minimization of block-circulant polynomials via semidefinite program in third-order tensor space," Journal of Global Optimization, Springer, vol. 84(2), pages 415-440, October.
- Ting Pong, 2012. "Edge-based semidefinite programming relaxation of sensor network localization with lower bound constraints," Computational Optimization and Applications, Springer, vol. 53(1), pages 23-44, September.
- Kristijan Cafuta, 2019. "Sums of Hermitian squares decomposition of non-commutative polynomials in non-symmetric variables using NCSOStools," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(2), pages 397-413, June.
- João Gouveia & Ting Pong, 2012. "Comparing SOS and SDP relaxations of sensor network localization," Computational Optimization and Applications, Springer, vol. 52(3), pages 609-627, July.
- Chao Ding & Hou-Duo Qi, 2017. "Convex Euclidean distance embedding for collaborative position localization with NLOS mitigation," Computational Optimization and Applications, Springer, vol. 66(1), pages 187-218, January.
- Juan Cota-Ruiz & Rafael Gonzalez-Landaeta & Jose David Diaz-Roman & Boris Mederos-Madrazo & Ernesto Sifuentes, 2019. "A weighted and distributed algorithm for multi-hop localization," International Journal of Distributed Sensor Networks, , vol. 15(7), pages 15501477198, June.
- Wu, Zhiyou & Tian, Jing & Quan, Jing & Ugon, Julien, 2014. "Optimality conditions and optimization methods for quartic polynomial optimization," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 968-982.
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Keywords
Sensor network localization; Graph realization; Distance geometry; Polynomials; Semidefinite program (SDP); Sum of squares (SOS); Error bound;All these keywords.
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