Articles

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Local Geometry of Zero Sets of Holomorphic Functions Nears the Torus (with Jim Agler and John E. McCarthy), New York Journal of Mathematics (2008)

We call a holomorphic function f on a domain in Cn locally toral at the...

 

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Toral Algebraic Sets and Function Theory on Polydisks (with Jim Agler and John E. McCarthy), Journal of Geometric Analysis (2006)

A toral algebraic set A is an algebraic set in Cn whose intersection with Tn...

 

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Singularly Perturbed Control Systems Using Non-commutative Computer Algebra (with J. W. Helton, F. Dell Kronewitter, and W. M. McEneaney), International Journal of Robust and Nonlinear Control (2000)

Most algebraic calculations which one sees in linear systems theory, for example in IEEE TAC,...

 

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Computer Assistance for "Discovering'' Formulas in System Engineering and Operator Theory (with J. W. Helton), Journal of Functional Analysis (1999)

The objective of this paper is two-fold. First we present a methodology for using a...

 

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Classification of Hereditary Matrices (with Jim Agler and J. W. Helton), Linear Algebra and its Applications (1998)

A classical approach used to obtain basic facts in the theory of square matrices involves...

 

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Computer Simplification of Formulas in Linear Systems Theory (with J. W. Helton and John J. Wavrik), IEEE Transactions on Automatic Control (1998)

Currently, the three most popular commercial computer algebra systems are Mathematica, Maple, and MACSYMA. These...

 

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m-Isometric Transformations of Hilbert Space, III (with Jim Alger), Journal of Integral Equations and Operator Theory (1996)
 

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m-Isometric Transformations of Hilbert Space, I (with Jim Alger), Journal of Integral Equations and Operator Theory (1995)
 

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m-Isometric Transformations of Hilbert Space, II (with Jim Alger), Journal of Integral Equations and Operator Theory (1995)
 

Conference Proceedings

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Noncommutative Computer Algebra in the Control of Singularly Perturbed Dynamical Systems (with J. W. Helton and F. Dell Kronewitter), Proceedings of the 38th IEEE Conference on Decision & Control, Phoenix, Arizona (1999)

Most algebraic calculations which one sees in linear systems theory, for example in IEEE TAC,...

 

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Computer Assistance In Discovering Formulas And Theorems In System Engineering II (with J. W. Helton and Kurt Schneider), Proceedings of the 35th Conference on Decision and Control, Kobe, Japan (1996)

[HSWcdc94] focused on procedures for simplifying complicated expressions automatically. [HScdc95] turned to the adventurous pursuit...

 

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Computer Assistance In Discovering Formulas And Theorems In System Engineering (with J. w. Helton), Proceedings of the 34th Conference on Decision and Control, New Orleans, LA (1995)

If one reads a typical article on A,B,C,D systems in the control transactions, one finds...

 

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Computer Simplification of Engineering Systems Formulas (with J. W. Helton and John Wavrik), Proceedings of the 33rd Conference on Decision and Control, Lake Buena Vista, FL (1994)

Currently, the three most popular commercial computer algebra systems are Mathematica, Maple, and MACSYMA (the...

 

Dissertation

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Isosymmetric Linear Transformations on Complex Hilbert Space, Dissertation (1993)

We explore the elementary operator theory of the equation
(0.1) ∑ cm,nT*nTm=0
for cm,n E...