参考文献/References:
[1] SHELL D L. A high-speed sorting procedure[J]. Communications of the ACM, 1959, 2(7): 30-32.
[2] HIBBARD T N. An empirical study of minimal storage sorting[J]. Communications of the ACM, 1963, 6(5): 206-213.
[3] PAPERNOV A A, STASEVICH G V. A method of information sorting in computer memories[J]. Problemy Peredachi Informatsii, 1965, 1965: 81-98.
[4] PRATT V R. Shellsort and sorting networks[M]. New York: DBLP, 1972.
[5] KNUTH D. The art of computer programming; v 3: sorting and searching[M]. Massachusetts: Addison-Wesley, 1973.
[6] SEDGEWICK R. A new upper bound for Shellsort[J]. Journal of Algorithms, 1986, 7(2): 159-173.
[7] GONNET G H, BAEZA-YATES R. Handbook of algorithms and data structures: in pascal and C[M]. 2nd ed. Boston: Addison-Wesley Longman Publishing, 1991.
[8] TOKUDA N. An improved Shellsort[C]// IFIP 12th World Computer Congress on Algorithms. Amsterdam: North-Holland PubLishing Co., 1992: 449-457.
[9] CIURA M. Best increments for the average case of shellsort[C]// Proceedings of the 13th International Symposium on Fundamentals of Computation Theory: In Freiwalds, Rusins(ed.). London: Springer-Verlag, 2001, 2(13): 106-117.
[10] JIANG T, LI M, VIT?NYI P. A lower bound on the average-case complexity of shellsort[J]. Journal of the ACM, 2000, 47(5): 905-911.
[11] VIT?NYI P. On the average-case complexity of Shellsort[J]. Random Structures & Algorithms, 2018, 52(2): 354-363.
[12] LEE J W, KIM Y S, NO J S. Analysis of modified shell sort for fully homomorphic encryption[J]. IEEE Access, 2021, 9: 126198-126215.
[13] 张连堂, 张博. 希尔排序最佳增量序列研究[J]. 韶关学院学报, 2005, 26(6): 15-18.
[14] 胡圣荣. 希尔排序效率的真实性拟合尝试: Sedgewick增量序列(1982)[J]. 湖北民族学院学报(自然科学版), 2014, 32(2): 218-221.
[15] 谢婷. 希尔排序算法设计思想研究[J]. 铜陵学院学报, 2016, 15(2): 111-112, 126.
[16] 王琼, 李鑫, 窦海波, 等. 同心协力策略优化研究[J]. 常州大学学报(自然科学版), 2020, 32(4): 77-82.
[17] ROSIN C D. Stepping stones to inductive synthesis of low-level looping programs[J]. Proceedings of the AAAI Conference on Artificial Intelligence, 2019, 33(1): 2362-2370.
[18] SEPAHYAR S, VAZIRI R, REZAEI M. Comparing four important sorting algorithms based on their time complexity[C]//Proceedings of the 2019 2nd International Conference on Algorithms, Computing and Artificial Intelligence. Sanya: ACM, 2019: 320-327.