ITLApplied  Computational Mathematics Division
ACMD Seminar Series
Attractive Image NIST

In conjunction with DLMF Seminar Series

Multivalued Inverse Functions: mathematical treatment and implementation in computer algebra systems.

David Jeffrey
Department of Applied Mathematics, University of Western Ontario, London, Canada

Monday, February 10, 2003 13:00-14:00,
Room 145, NIST North (820)
Monday, February 10, 2003 11:00-12:00,
Room 4511

Abstract: The implementation of elementary functions, such as logarithm and the inverse trigonometric functions, in computer algebra systems has shown that we need to think about multivalued functions carefully. In this talk, I explain the requirements of a computer algebra system and review the possible definitions of a multivalued function. I compare multiple values (sets of values), Riemann surfaces and principal values. For CAS, principal values is best, but that requires rethinking the simplification rules. How we are doing this is described.
Contact: D. W. Lozier

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Last updated: 2011-01-12.