Title :
A flexible-variable truncated power series algebra in Zlib
Author :
Yan, Y.T. ; Cai, Y. ; Irwin, J.
Author_Institution :
Linear Accel. Center, Stanford Univ., CA, USA
Abstract :
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
Keywords :
particle beam dynamics; physics computing; series (mathematics); Lie algebra; Zlib; one-step index pointers; single particle dynamics; truncated power series algebra; Algebra; Algorithms; Contracts; Data structures; H infinity control; Indexing; Labeling; Libraries; Physics;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.751299
