Automatic differentiation of limit functions

Conference · Sat May 01 00:00:00 EDT 1993

OSTI ID:10168938

Michelotti, L

Automatic differentiation can be used to evaluate the derivatives of and set up Taylor series for implicitly defined functions and maps. The author provides several examples of how this works, within the context of the MXYZPTLK class library, and discusses its extension to inverse functions. The techniques of automatic differentiation and differential algebra are rapidly becoming a standard part of accelerator physicists` arsenals.

• Research Organization: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: AC02-76CH03000
• OSTI ID: 10168938
• Report Number(s): FNAL/C-93/135; CONF-930511-209; ON: DE93016376; TRN: 93:020966
• Resource Relation: Conference: PAC `93: international particle accelerator conference,Washington, DC (United States),17-20 May 1993; Other Information: PBD: May 1993
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
BEAM DYNAMICS
CALCULATION METHODS
FUNCTIONS
ALGEBRA
MATHEMATICS
EQUATIONS
430200
990200
BEAM DYNAMICS, FIELD CALCULATIONS, AND ION OPTICS
MATHEMATICS AND COMPUTERS