A flexible-variable truncated power series algebra in Zlib
A flexible-variable truncated power series algebra in Zlib
复制标题
DOI：
10.1109/pac.1997.751299
复制
发表时间：
1997-05
期刊：
影响因子：
--
通讯作者：
Y.T. Yan;Y. Cai;J. Irwin
中科院分区：
文献类型：
--
作者：
Y.T. Yan;Y. Cai;J. Irwin
Zlib 是截断幂级数代数 (TPSA) 和李代数的数值库，适用于单粒子动力学的非线性分析。第一个版本是在 1990 年使用单步索引指针 (OSIP) 开发的。 OSIP 形成 Zlib 神经，提供最佳计算并允许顺序分级以及 TPSA 全局变量数量的灵活初始化。虽然 OSIP 仍保留最小索引传递以实现高效计算，但 Zlib 已升级为允许截断幂级数类的每个 C++ 对象中灵活且可分级的本地变量数量。讨论了使用 Zlib 的可能应用。
Zlib is a numerical library for truncated power series algebra (TPSA) and Lie algebra for application to nonlinear analysis of single particle dynamics. The first version was developed in 1990 with the use of the one-step index pointers (OSIP's). The OSIP's form the Zlib nerve that offers optimal computation and allow order grading as well as flexible initialization of the global number of variables for the TPSA. While the OSIP's are still kept for minimum index passing to achieve efficient computation, Zlib has been upgraded to allow flexible and gradable local number of variables in each C++ object of the truncated power series class. Possible applications using Zlib are discussed.