Noncommutative Algebra Package and Systems -- from Wolfram Library Archive

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Title

Noncommutative Algebra Package and Systems

Authors

J. William Helton

Organization:

University of California, San Diego

Department:

Department of Mathematics

URL:	http://math.ucsd.edu/~helton/

Robert L. Miller

Organization:

Gener Atomic Corp.

Mark Stankus

Organization:

Cal. Poly. San Luis Obispo

Old MathSource #

0208-998

Revision date

2001-11-01

Description

Although processing of commutative expressions is built into Mathematica, relatively no support is given to noncommutative expression manipulation. These packages have been developed to fill this void. Commands for noncommuting algebra that are analogous to Mathematica commands are implemented, as well as others. The development of these packages has been directed by needs that arose from research in Control Theory, Systems Theory, and in Operator Theory. Also attached to the NCAlgebra package are files SYS* for doing calculations with engineering systems that are common in Hinfinity control and in differential games. See the NCAlgebra homepage for more information and heavier software.

Subject