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In this paper, we study the problem of finding the least square solutions of over-determined linear algebraic equations over networks in a distributed manner.
Arrow, K., Huwicz, L., Uzawa, H., 1958. Studies in Linear and Non-linear Programming. Stanford University Press
1958
Earlier work this paper cites.
Jury, E., 1991. A note on the modified stability table for linear discrete time systems. IEEE Trans. Circ. & Syst. 38 (2), 221–223
1991
Earlier work this paper cites.
Silvester, J. R., 2000. Determinants of block matrices. The Mathematical Gazette 84 (501), 460–467
2000
Earlier work this paper cites.
Horn, R. A., Johnson, C. R., 2001. Matrix Analysis, 2nd Edition. Cambridge University Press
2001
Earlier work this paper cites.
Xiao, L., Boyd, S., 2004. Fast linear iterations for distributed averaging. Systems & Control Letters 53 (1), 65–78
2004
Earlier work this paper cites.
Olfati-Saber, R., Fax, J. A., Murray, R. M., 2007. Consensus and cooperation in networked multi-agent systems. Proceedings of the IEEE 95 (1), 215–233
2007
Earlier work this paper cites.
Sundaram, S., Hadjicostis, C. N., 2007. Finite-time distributed consensus in graphs with time-invariant topologies. In: Proc. American Control Conference. pp. 711–716
2007
Earlier work this paper cites.
Cortés, J., 2008. Distributed algorithms for reaching consensus on general functions. Automatica 44 (3), 726–737
2008
Earlier work this paper cites.
Nedić, A., Ozdaglar, A., 2009. Distributed subgradient methods for multi-agent optimization. IEEE Transactions on Automatic Control 54 (1), 48–61
2009
Earlier work this paper cites.
Nedić, A., Ozdaglar, A., Parrilo, P. A., 2010. Constrained consensus and optimization in multi-agent networks. IEEE Transactions on Automatic Control 55 (4), 922–938
2010
Earlier work this paper cites.
Wang, J., Elia, N., 2010. Control approach to distributed optimization. In: Proc. 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton). pp. 557–561
2010
Earlier work this paper cites.
Cai, K., Ishii, H., 2012. Average consensus on general strongly connected digraphs. Automatica 48 (11), 2750 – 2761
2012
Earlier work this paper cites.
Wang, J., Elia, N., 2012. Distributed least square with intermittent communications. In: Proc. American Control Conference. pp. 6479–6484
2012
Cited alongside, same era.
Yuan, Y., Stan, G.-B., Shi, L., Barahona, M., Goncalves, J., 2013. Decentralised minimum-time consensus. Automatica 49 (5), 1227–1235
2013
Cited alongside, same era.
Gharesifard, B., Cortés, J., 2014. Distributed continuous-time convex optimization on weight-balanced digraphs. IEEE Transactions on Automatic Control 59 (3), 781–786
2014
Cited alongside, same era.
Charalambous, T., Yuan, Y., Yang, T., Pan, W., Hadjicostis, C. N., Johansson, M., 2015. Distributed finite-time average consensus in digraphs in the presence of time-delays. IEEE Transactions on Control of Network Systems 2 (4), 370–381
2015
Cited alongside, same era.
Mou, S., Liu, J., Morse, A. S., 2015. A distributed algorithm for solving a linear algebraic equation. IEEE Transactions on Automatic Control 60 (11), 2863–2878
Du, W., Yao, L., Wu, D., Li, X., Liu, G., Yang, T., 2018. Accelerated distributed energy management for microgrids. In: Proc. of the IEEE Power and Energy Society General Meeting
2018
Closest in time.
Liu, J., Mou, S., Morse, A. S., 2018. Asynchronous distributed algorithms for solving linear algebraic equations. IEEE Transactions on Automatic Control 63 (2), 372–385
2018
Closest in time.
Lu, J., Tang, C. Y., 2018. A distributed algorithm for solving positive definite linear equations over networks with membership dynamics. IEEE Transactions on Control of Network Systems 5 (1), 215–227
2018
Closest in time.
Pu, S., Shi, W., Xu, J., Nedić, A., 2018. A push-pull gradient method for distributed optimization in networks. In: 57th IEEE Conference on Decision and Control (CDC). pp. 3385–3390
2018
Closest in time.
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2015
Cited alongside, same era.
Shi, W., Ling, Q., Wu, G., Yin, W., 2015. EXTRA: An exact first-order algorithm for decentralized consensus optimization. SIAM Journal on Optimization 25 (2), 944–966
2015
Cited alongside, same era.
Anderson, B., Mou, S., Morse, A. S., Helmke, U., 2016. Decentralized gradient algorithm for solution of a linear equation. Numerical Algebra, Control and Optimization 6 (3), 319–328
2016
Cited alongside, same era.
Mou, S., Morse, A. S., Lin, Z., Wang, L., Fullmer, D., 2016. A distributed algorithm for efficiently solving linear equations and its applications. Systems & Control Letters 91, 21–27
2016
Cited alongside, same era.
Yang, T., Wu, D., Sun, Y., Lian, J., 2016. Minimum-time consensus based approach for power system applications. IEEE Transactions on Industrial Electronics 63 (2), 1318–1328
2016
Cited alongside, same era.
Liu, J., Morse, A. S., Nedić, A., Başar, T., 2017. Exponential convergence of a distributed algorithm for solving linear algebraic equations. Automatica 83, 37–46
2017
Cited alongside, same era.
Nedić, A., Olshevsky, A., Shi, W., 2017. Achieving geometric convergence for distributed optimization over time-varying graphs. SIAM Journal on Optimization 27 (4), 2597–2633
2017
Cited alongside, same era.
Shi, G., Anderson, B. D. O., Helmke, U., 2017. Network flows that solve linear equations. IEEE Transactions on Automatic Control 62 (6), 2659–2674
2017
Cited alongside, same era.
2018
Closest in time.
Xin, R., Khan, U. A., 2018. A linear algorithm for optimization over directed graphs with geometric convergence. Control Systems Letters 2 (3), 315–320
2018
Closest in time.
Xu, J., Zhu, S., Sohy, Y. C., Xie, L., 2018. A Bregman splitting scheme for distributed optimization over networks. IEEE Transactions on Automatic Control 63 (11), 3809–3824
2018
Closest in time.
Yao, L., Yuan, Y., Sundaram, S., Yang, T., 2018. Distributed finite-time optimization. In: Proc. 14th IEEE International Conference on Control & Automation. pp. 147–154
2018
Closest in time.
Jakovetić, D., 2019. A unification and generalization of exact distributed first-order methods. IEEE Transactions on Signal and Information Processing over Networks 5 (1), 31–46
2019
Closest in time.
Liu, Y., Lageman, C., Anderson, B. D. O., Shi, G., 2019. An Arrow-Hurwicz-Uzawa type flow as least squares solver for network linear equations. Automatica 100, 187–193
2019
Closest in time.
2019
Closest in time.
Xu, J., Zhu, S., Soh, Y. C., Xie, L., 2015. Augmented distributed gradient methods for multi-agent optimization under uncoordinated constant stepsizes. In: Proc. of the 54th IEEE Conference on Decision and Control. pp. 2055–2060
2060
Closest in time.