[1] Abbasifard, M.R., Ghahremani, B., Naderi, H.: A survey on nearest neighbor search methods. International Journal of Computer Applications 95, 39-52 (2014)
[2] Adya, S.N., Chaturvedi, S., Roy, J.A., Papa, D.A., Markov, I.L.: Unification of partitioning, placement and floorplanning. In: International Conference on Computer Aided Design, pp. 550-557. IEEE/ACM, San Jose, CA (2004)
[3] Agnihotri, A.R., Madden, P.H.: Fast analytic placement using minimum cost flow. In: Asia South Pacific Design Automation Conference, pp. 128-134. IEEE/ACM, Yokohama, Japan (2007)
[4] Agnihotri, A.R., Ono, S., Madden, P.H.: Recursive bisection placement: Feng shui 5.0 implementation details. In: International Symposium on Physical Design, pp. 230-232. ACM, San Francisco, CA (2005)
[5] Babaie-Kafaki, S.: A survey on the Dai-Liao family of nonlinear conjugate gradient methods. RAIRO-Operations Research 57(1), 43-58 (2023)
[6] Boyd, S., Parikh, N., Chu, E., Peleato, B., Eckstein, J.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Foundations and Trends in Machine learning 3(1), 1-122 (2011)
[7] Brenner, U., Struzyna, M., Vygen, J.: BonnPlace: placement of leading-edge chips by advanced combinatorial algorithms. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 27(9), 1607-1620 (2008)
[8] Chan, T.F., Cong, J., Kong, T., Shinnerl, J.R.: Multilevel optimization for large-scale circuit placement. In: IEEE/ACM International Conference on Computer Aided Design. ICCAD-2000. IEEE/ACM Digest of Technical Papers (Cat. No.00CH37140), pp. 171-176. IEEE/ACM, San Jose, CA (2000)
[9] Chan, T.F., Cong, J., Shinnerl, J.R., Sze, K., Xie, M.: mPL6: enhanced multilevel mixed-size placement. In: International Symposium on Physical Design, pp. 212-214. ACM, San Jose, CA (2006)
[10] Chen, J.L., Yang, L., Peng, Z., Zhu, W.X., Chang, Y.-W.: Novel proximal group ADMM for placement considering fogging and proximity effects. In: International Conference on Computer-Aided Design, San pp.1-7. IEEE/ACM, San Diego, CA (2018)
[11] Chen, T.-C., Hsu, T.-C., Jiang, Z.-W., Chang, Y.-W.: NTUplace: a ratio partitioning based placement algorithm for large-scale mixed-size designs. In: International Symposium on Physical Design, pp. 236-238. ACM, San Francisco, CA (2005)
[12] Chen, T.-C., Jiang, Z.-W., Hsu, T.-C., Chen, H.-C., Chang, Y.-W.: NTUplace3: an analytical placer for large-scale mixed-size designs with preplaced blocks and density constraints. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 27(7), 1228-1240 (2008)
[13] Dai, Y.-H.: Nonlinear conjugate gradient methods. Wiley Encyclopedia of Operations Research and Management Science (2010). https://doi.org/10.1002/9780470400531.eorms0183
[14] GSRC Benchmarks. http://vlsicad.eecs.umich.edu/BK/GSRCbench/HARD/
[15] Hager, W.W., Zhang, H.: A survey of nonlinear conjugate gradient methods. Pacific Journal of Optimization 2(1), 35-58 (2006)
[16] Hsu, M.-K., Balabanov, V., Chang, Y.-W.: TSV-aware analytical placement for 3-D IC designs based on a novel weighted-average wirelength model. IEEE Trans. Comput. Aided Des. of Integr. Circuits Syst. 32(4), 497-509 (2013)
[17] Hu, B., Zeng, Y., Marek-Sadowska, M.: mFAR: fixed-points-addition-based VLSI placement algorithm. In: International Symposium on Physical Design, pp. 239-241. ACM, San Francisco, CA (2005)
[18] Jian, J.B., Liu, P.J., Jiang, X.Z.: A partially symmetric regularized alternating direction method of multipliers for nonconvex multi-block optimization. Acta Math. Sinica (Chin. Ser.) 64(6), 1005-1026 (2021)
[19] Kahng, A.B., Wang, Q.: Implementation and extensibility of an analytic placer. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 24(5), 18-25 (2004)
[20] Kahng, A.B., Wang, Q.: A faster implementation of APlace. In: International Symposium on Physical Design, pp. 218-220. ACM, San Jose, CA (2006)
[21] Kleinhans, J.M., Sigl, G., Johannes, F.M., Antreich, K.J.: GORDIAN: VLSI placement by quadratic programming and slicing optimization. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 10(3), 356-365 (1991)
[22] Liu, P.J., Jian, J.B., Ma, G.D.: A Bregman-style partially symmetric alternating direction method of multipliers for nonconvex multi-block optimization. Acta Math. Appl. Sin. Engl. Ser. 39(2), 354-380 (2023)
[23] Liu, P.J., Jian, J.B., Shao, H., Wang, X.Q., Xu, J.W., Wu, X.Y.: A Bregman-style improved ADMM and its linearized version in the nonconvex setting: convergence and rate analyses. Journal of the Operations Research Society of China 12, 298-340 (2024)
[24] Liu, P.J., Li, L.H., Shao, H., Liu, M.X., Fan, J.X.: An inertial-type CG projection method with restart for pseudo-monotone costs with application to traffic assignment. Networks and Spatial Economics 25, 147-172 (2025)
[25] Liu, P.J., Shao, H., Wang, Y., Wu, X.Y.: A three-term CGPM-based algorithm without Lipschitz continuity for constrained nonlinear monotone equations with applications. Appl. Numer. Math. 175, 98-107 (2022)
[26] Liu, P.J., Yuan, Z., Zhuo, Y., Shao, H.: Two efficient spectral hybrid CG methods based on memoryless BFGS direction and Dai-Liao conjugacy condition. Optimization Methods and Software 39(6), 1445-1463 (2024)
[27] Lu, J., Chow, W.-K., Sham, C.-W., Young, E.F.: A dual-MST approach for clock network synthesis. In: Asia and South Pacific Design Automation Conference, pp. 467-473. IEEE, Yokohama, Japan (2010)
[28] Lu, J.W.: Fundamental Research on Electronic Design Automation in VLSI Design: Routability. Master Thesis. The Hong Kong Polytechnic University, Hong Kong, China (2010)
[29] Lu, J.W., Chen, P.W., Chang, C.-C., Sha, L., Huang, D.J.-H., Teng, C.-C., Cheng, C.-K.: ePlace: electrostatics-based placement using fast Fourier transform and Nesterov’s method. ACM Transactions on Design Automation of Electronic Systems 20(2), 1-34 (2015)
[30] Luo, T., Pan, D.Z.: DPlace2.0: a stable and efficient analytical placement based on diffusion. In: Asia South Pacific Design Automation Conference, pp. 346-351. IEEE/ACM, Seoul, Korea (South) (2008)
[31] Nam, G.-J., Reda, S., Alpert, C.J., Villarrubia, P.G., Kahng, A.B.: A fast hierarchical quadratic placement algorithm. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 25(4), 678-691 (2006)
[32] Peng, Z., Chen, J.L., Zhu, W.X.: A proximal alternating direction method of multipliers for a minimization problem with nonconvex constraints. J. Global Optim. 62(4), 711-728 (2015)
[33] Sechen, C., Sangiovanni Vincentelli, A.: The TimberWolf placement and routing package. Journal of Solid-State Circuits 20(2), 510-522 (1985)
[34] Shao, H., Guo, H., Wu, X.Y., Liu, P.J.: Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising. Appl. Math. Model. 118, 393-411 (2023)
[35] Spindler, P., Schlichtmann, U., Johannes, F.M.: Kraftwerk2 — a fast force-directed quadratic placement approach using an accurate net model. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 27(8), 1398-1411 (2008)
[36] Taghavi, T., Yang, X.J., Choi, B.-K.: Dragon2005: large-scale mixed-size placement tool. In: International Symposium on Physical Design, pp. 245-247. ACM, San Francisco, CA (2005)
[37] Viswanathan, N., Nam, G.-J., Alpert, C.J., Villarrubia, P., Ren, H.X., Chu, C.: RQL: global placement via relaxed quadratic spreading and linearization. In: Design Automation Conference, pp. 453-458. IEEE/ACM, San Diego, CA (2007)
[38] Viswanathan, N., Pan, M., Chu, C.: FastPlace 3.0: a fast multilevel quadratic placement algorithm with placement congestion control. In: Asia South Pacific Design Automation Conference, pp. 135-140. IEEE/ACM, Yokohama, Japan (2007)
[39] Vorwerk, K., Kennings, A., Vannelli, A.: Engineering details of a stable force-directed placer. In: International Conference on Computer-Aided Design, pp. 573-580. IEEE/ACM, San Jose, CA (2004)
[40] Xiao, Y.-H., Song, H.-N.: An inexact alternating directions algorithm for constrained total variation regularized compressive sensing problems. Journal of Mathematical Imaging and Vision 44(2), 114-127 (2012)
[41] Xiao, Y.-H., Zhu, H., Wu, S.-Y.: Primal and dual alternating direction algorithms for l_1-l_1-norm minimization problems in compressive sensing. Comput. Optim. Appl. 54, 441-459 (2013)
[42] Yao, B., Chen, H.Y., Cheng, C.-K., Chou, N.-C., Liu, L.-T., Suaris, P.: Unified quadratic programming approach for mixed mode placement. In: International Symposium on Physical Design, pp. 193-199. ACM, San Francisco, CA (2005)
[43] Zhu, Z.R., Chen, J.L., Peng, Z., Zhu, W.X., Chang, Y.-W.: Generalized augmented Lagrangian and its applications to VLSI global placement. In: Design Automation Conference, pp. 1-6. ACM/ESDA/IEEE, San Francisco, CA (2018)