Publications

(With A.D. Andrew, G. Cain, and C. Crum), Revision of Calculus Projects Using Mathematica, McGraw Hill, 1996.

(With W. L. Green) The extreme points of order intervals of positive operators, in Advances in Applied Mathematics, 15 (1994), 360-370.

(with A.D. Andrew), Linear Algebra Projects Using Mathematica, McGraw Hill, 1993.

(with A.D. Andrew, G. Cain and C. Crum), Calculus Projects Using Mathematica, Revised Edition, McGraw Hill, 1993.

(with W.N. Anderson and G.E. Trapp) The Dixiecup - Visualizing order intervals of matrices, to appear, Linear Algebra and Its Applications, 164 (1992), 723-728.

(with A.D. Andrew, G. Cain and C. Crum), Calculus Projects Using Mathematica, McGraw Hill, 1992.

(With W. L. Green) Operator means and matrix functions, Linear Algebra and Its Applications 137 (1990), pp. 453-465.

(With W. L. Green) Parallel sums of operators, Proc. Symposia in Pure Mathematics 51 (1990), pp. 129-133.

(With W. L. Green) Parallel sums and norm convergence, Circuits, Systems and Signal Processing 9 (1990), pp. 213-222.

(With W. N. Anderson and G. E. Trapp) Introduction to special issue on Advances in Mathematical Circuit Theory, Circuits, Systems and Signal Processing 9 (1990), pp. 125-126.

(With W. N. Anderson and G. E. Trapp) Infinite networks and quadratic optimal control, Circuits, Systems and Signal Processing 9 (1990), pp. 229-238.

Shorts of block operators and electrical networks - A note on the shorted operator - II, Circuits, Systems and Signal Processing 9 (1990), pp. 161-170.

(With W. N. Anderson and G. E. Trapp) Positive solutions to X = A - BX-1 B*, Linear Algebra and Its Applications 134 (1990), pp. 53- 62.

(With W. N. Anderson and G. E. Trapp) Sets of positive operators with suprema, SIAM J. Matrix Analysis 11 (1990), pp. 207-212.

Linear programming and operator means, Advances in Applied Mathematics 10 (1989), pp. 497-506.

An alternative approach to the parallel sum, Advances in Applied Mathematics 10 (1989), pp. 358-369.

(With C. A. Butler) Six generalized Schur complements, Linear Alg. Appl. 106 (1988), 259-269.

(By C. Handy, D. Bessis and T. D. Morley) Quantum energy bounds by the moment method - a linear programming approach, Phys. Rev. A., 37 (1988), pp. 4557-4569.

(With C. A. Butler) A note on the shorted operator, SIAM J. Matrix Anal. 9 (1988), 147-155.

(By C. Handy, D. Bessis, and G. Sigismondi and T. D. Morley) Rapidly converging bounds for the ground state energy of hydrogenic atoms in superstrong magnetic fields, Phys. Rev. Let., 60 (1988), 253-256.

Radial wave propagation and distortionless signalling, SIAM Review, 30 (1988), 115-118.

(With W. N. Anderson, M. May and G. E. Trapp) The contraharmonic mean of operators and its dual, SIAM J. Alg. Disc. Meth., 8 (1987), 674-682.

(With W. L. Green) Four variational formulations of the contraharmonic mean of operators, Siam J. Alg. Disc. Meth., 8 (1987), 670-673.

(With W. Layton) On central difference approximations to general second order elliptic equations, Linear Alg. Appl., 97 (1987), 65-75.

(With W. L. Green) Operator means, fixed points and the norm convergence of monotone iterates, Math. Scand., 60 (1987), 202-218.

(By D. F. Karney, K. Pasumarty and T. D. Morley) Intensity measures of consumer preference - an algorithmic aid, Oper. Res., 35 (1987), 437-444.

A simple proof that the world is three dimensional, SIAM Review, 27 (1985), 69-71, Reprinted in Mathematical Modeling: Classroom notes in Applied Mathematics, ed. M. Klamkin, SIAM Publications, Philadelphia, 1987.

(With W. N. Anderson and G. E. Trapp) Cascade addition and subtraction of matrices, to appear SIAM J. Algebraic and Disc. Methods, 7 (1986), 609-626.

(With D. Karney), Limiting Lagrangians - a primal approach, J. Optim. Th. Appl., 48 (1986), 163-174.

(With W. N. Anderson) The eigenvalues of the Laplacian of a graph, Linear and Multilinear Algebra, 18 (1985), 141-145.

(With M. F. Barnsley and E. R. Vrscay) Iterated networks and the spectra of renormalizable electro-mechanical systems, J. Sta. Phys., 40 (1985), 39-67.

(With W. N. Anderson and G. E. Trapp) Symmetric means of positive operators, Linear Algebra and Appl., 60 (1984) 12 9-143.

(With W. N. Anderson and G. E. Trapp) Ladder networks, fixpoints, and the geometric mean of positive operators, Circuits, Systems, and Signal Process., 2 (1983), 259-268.

(With R. J. Duffin) Inequalities induced by electrical connections, in Recent Applications of Generalized Inverses ed. S. Campbell, Pittman, London, 1982.

(With W. N. Anderson and G. E. Trapp) A characterization of parallel subtraction, Proc. Natl. Acad. Sci. USA, 76 (1979), 3599-3601.

A Gauss-Markov theorem for infinite dimensional regression models with possibly singular covariance, SIAM J. Appl. Math. 37 (1979), 257-260.

Parallel summation, Maxwell's principle and the infinum of projections, J. Math. Anal. Appl. 70 (1979), 33-41.

(With R. J. Duffin) Inequalities induced by electrical connections-Hybrid connections, J. Math. Anal. Appl. Math. 67 (1979), 215-231.

(With W. N. Anderson and G. E. Trapp) Fenchel duality of non-linear routers, IEEE Trans. CAS-25 (1978), 762-765.

(With R. J. Duffin) Wang algebra and matroids, IEEE Trans. CAS-25 (1978), 755-762.

(With R. J. Duffin) Almost definite operators and Electro-mechanical systems, SIAM J. Appl. Math. 35 (1978), 21-30.

(with D. Estep and W.L. Green) The geometric means of 2 by 2 matrices, submitted, Circuits, Systems and Signal Processing, revised November 1994.

Articles in Books and Conference Proceedings:

(with A.D. Andrew), Calculus projects using Mathematica in Proceedings of the International Conference on Technology in Collegiate Mathematics, Addison Wesley, 1996.

(With A.D. Andrew), Group Learning, Science-based Calculus Projects, in Proceedings of the International conference on Technology in Collegiate Mathematics, Addison Wesley, 1995.

(with A. D. Andrew) What makes a good calculus project (or how to play with your parameters), in Proceedings of International Conference on Technology in Collegiate Mathematics, Addison Wesley, 1994.

(with A. D. Andrew and J. D. Neff) Connecting calculus with engineering, in Proceeding of the Second Annual Conference on Technology in Collegiate Mathematics, ed. by Franklin Demana, Bert K. Waits and John Harvey, Addison-Wesley, Reading, Massachusetts, 1991, pp. 95--98.

(with A. D. Andrew and J. D. Neff) The Georgia Tech experience with the HP-28S supercalculator in calculus instruction, in Proceeding of the Third Annual International Conference on Technology in Collegiate Mathematics -- Contributed Papers, pages unnumbered.

(with A. D. Andrew and J. D. Neff) How bright is Venus --- A Calculus Example, in Proceeding of the Third Annual International Conference on Technology in Collegiate Mathematics -- Contributed Papers, pages unnumbered.

(with W. L. Green) Operator means, norm convergence, and matrix functions, in Signal Processing, Scattering and Operator Theory, and Numerical Methods--Proceedings of the International Symposium on the Mathematical Theory of Networks and Systems--89, Volume III, ed., by M. A. Kaashoek, J. H. van Schuppen, and A. C. M. Ran, Birkhauser, Boston, 1990, pp. 551-556.

(with W. L. Green) Dini's theorem and electrical networks, in Linear Circuits, Systems and Signal Processing: Theory and Application}, ed. by C.I. Byrnes, C. F. Martin and R. E. Saeks, North Holland, 1988, pp 371--376.

Nonlinear differential equations using Mathematica, in The Twilight of pencil and paper--Proceedings of the Conference on Technology in Collegiate Mathematics, Ohio State University, 1988, Addison Wesley, Redwood City, CA.

(with W.N. Anderson and G.E. Trapp), the cascade limit, the shorted operator, and quadratic optimal control, in Linear Circuits, Systems, and Signal Processing: Theory and Application, ed. by Christopher I. Byrnes, Clyde F. Martin, and Richard E. Saeks, North Holland, Amsterdam, 1988, pp. 3-8.

(with C.A. Butler) Continued fractions and Schur complements, in Current Trends in Matrix Theory, eds., R. Grone and F. Uhlig, North Holland, New York, 1988.

A simple proof that the world is three dimensional, (Journal Paper Number 10), reprinted in Mathematical Modeling: Classroom notes in Applied Mathematics, ed. M. Klamkin, SIAM publications, Philadelphia, 1987.

(with R.J. Duffin), Inequalities induced by electrical connections, in Recent Applications of Generalized Inverses, ed. by S. Campbell, Pittman, London, 1982.

Several applications of the shorted operator, in Constructive Approaches to Mathematical Models}, ed. by C. Coffman and G. Fix, Academic Press, NY, 1979.

Schur Components from Scratch, seminar notes, approximately 90 pages.

Speaking of Temperaments, American Recorder, 34 (1993) (Mathematics of Baroque Tunings).