NCAlgebra

NCALGEBRA

Version 3.7
(Mathematica 2.2, 3.0, and 4.0 compatible)

J. William Helton and Mark Stankus
Math Dept., UCSD

Robert L. Miller
General Atomic Corp.
La Jolla, California 92093

CONTENTS

I) The basic NCAlgebra program.

II) Some demonstrations on $H^\infty$ Control.

III) C++ Mathematica hybrid for simplifying formulas, discovering

formulas and making noncommutative Gröbner Basis.

(this part requires the GNU C++ compiler gcc version 2.6.3 or higher)

Copyright by Helton and Miller on June 1991, Feb 1994

Copyright by Helton, Miller and Stankus on March 1996

Copyright by Helton, Miller and Stankus on September 2001

All Rights Reserved.

If you would like to try the NCAlgebra package or want updates go to the NCAlgebra web site

http://math.ucsd.edu/$\sim$ncalg

or contact ncalg@ucsd.edu or MathSource@wri.com.

The basic NCAlgebra program was written by the authors and David Hurst, Daniel Lamm, Orlando Merino, Robert Obarr, Henry Pfister, Stan Yoshinobu, Phillipe Bergman, Dell Kronewitter, and Eric Rowell. Various additions include contributions by Dave Glickstein, Juan Camino, Jeff Ovall, Tony Mendes, and Tony Shaheen. The Mathematica C++ hybrid was developed with Kurt Schneider, Victor Shih and Mike Moore. Control demos are coauthored with Mike Walker. Simplification commands are based on theory developed by Bill Helton, John Wavrik and Mark Stankus. The beginnings of the program come from eran@slac. This program was written with support from the AFOSR, the NSF, the Lab for Mathematics and Statistics at UCSD, the UCSD Faculty Mentor Program and the US Department of Education.