CHAPTERS IN BOOKS

  1. W. N. Anderson, R.J. Duffin and G. E. Trapp, "Tripartite Graphs to Analyze the Interconnection of Networks", Graph Theory and Applications, Springer-Verlag, Berlin, pp.1-13, 1972.
  2. G. E. Trapp, "Matrix Algebra Derived from Network Theory", Proc. of the NATO Advanced Study Institute on Network and Signal Theory, P. Peregrinus Limited, London, United Kingdom, pp. 89-94, 1972.
  3. W. Squire and G. E. Trapp, "Solution of a System of Partial Differential Equations by Numerical Inversion of Laplace Transforms", Proc. of the International Symposium on Numerical Solution of Partial Differential Equations, AICA, pp. 76-79, 1975.
  4. W. N. Anderson and G. E. Trapp, "Matrix Operations Induced by Electrical Network Connections-A Survey", Constructive Approaches to Mathematical Models, Academic Press, pp. 53-73, 1979.
  5. W. N. Anderson and G. E. Trapp, "Analytic Operator Functions and Electrical Networks", Recent Applications of Generalized Inverses, Pitman Publishing Co., pp. 12-26, 1982.
  6. G. E. Trapp, "The Riccati Equation and the Geometric Mean", Linear Algebra and Its Role in Systems Theory, Contemporary Mathematics, V47, pp. 437-445, 1985.
  7. W. N. Anderson and G. E. Trapp, "Network Matrix Operations for Vectors and Quaternions", Linear Algebra in Signals, Systems and Control, SIAM pp. 3-10, 1988.
  8. W. N. Anderson, T. D. Morley and G. E. Trapp, " The Cascade Limit, The Shorted Operator and Quadratic Optimal Control", Linear Circuits, Systems and Signal Processing: Theory and Application, North-Holland, pp. 1-7, 1988.
  9. A. Lui, L. Shadle, C. Gregoire, R. Rosencrans and G. E. Trapp, " Development of an energy-Transfer Model (XELAMP) for Oil Shale Pyrolysis in a Flash Lamp Reactor", Proceedings of the 1987 Eastern Oil Shale Symposium, November 1987
  10. A. Lui, L. Shadle, Y. Wang, J. Penn and G. E. Trapp " Model Prediction of Energy Distribution and Extent of Reactions for Oil Shale Pyrolysis in a Flash Lamp Reactor", Proceedings of the 1988 Eastern Oil Shale Symposium, November 1988
  11. W. N. Anderson and G. E. Trapp, "The Geometric Mean of Positive Real Operators", Signal Processing, Scattering and Operator Theory, and Numerical Methods, Birkhauser, Boston pp. 529-534, 1990.

JOURNAL ARTICLES AND CONFERENCE PROCEEDINGS

  1. W. N. Anderson, R. J. Duffin and G. E. Trapp, "Parallel Subtraction of Matrices", Proc. Nat. Acad. of Science U. S. A., V. 69, pp. 2530-2531, September, 1972.
  2. R. Duffin and G. E. Trapp, "Hybrid Addition of Matrices - A Network Theory Concept", J. Appl. Anal. V. 2, pp. 241-254, September, 1972.
  3. G. E. Trapp, "Inverses of Circulant Matrices and Block Circulant Matrices", Kyungpook Mathematical Journal V. 13, pp. 11-20, June, 1973.
  4. W. N. Anderson and G. E. Trapp, "Parallel Addition in Hilbert Space", Proc. of Sixteenth Midwest Symposium on Circuit Theory, , pp. XVIII, 8.1, XVIII, 8.8, 1973.
  5. L. Eisenhart and G. E. Trapp, "Computation of Hermite Polynomials", Math. Comp., . 27, pp. 625-632, July, 1973
  6. W. Simons and G. E. Trapp, "Separating Points by Spheres", Dis. Math., V. 10, pp. 163-166, 1974
  7. W. Simons and G. E. Trapp, "Includable and Excludable Points", Proc. W.V. Acad. Sci., V. 45, pp. 332-334, 1974
  8. W. Squire and G. E. Trapp, "Solving Non-Linear Vandermonde Systems", British Comp. J., V. 18, No. 4, pp. 373-374, 1974
  9. W. N. Anderson, R. J. Duffin and G. E. Trapp, "Adjacency Matrix Concepts for the Analysis of the Interconnections of Networks", J. Franklin Inst., 298, pp. 927, 1974
  10. W. Squire and G. E. Trapp, "Nonlinear Vandermonde Systems for Finding Eigenvalues", Proc. W.V. Acad. Sci., 46, pp. 293-297, 1974
  11. W. Anderson, D. Reynolds and G. E. Trapp, "Cascade Addition of Matrices", Proc. W.V. Acad. Sci., 46, pp. 185-192, 1974
  12. D. Ryan and G. E. Trapp, "Partitioning Methods for Accelerating Gauss-Seidel Iterations", Proc. W.V. Acad. Sci., V. 299, pp. 305-313, May, 1975
  13. W. N. Anderson and G. E. Trapp, "Inequalities for the Parallel Connection of Resistive N-Port Networks", J. Franklin Inst., V. 299, pp. 305-313, May, 1975
  14. S. K. Mitra and G. E. Trapp, "On Hybrid Addition of Matrices", Lin. Alg. Appl, V. 10, pp. 19-35, 1975
  15. W. N. Anderson and G. E. Trapp, "Shorted Operators II", SIAM J. Appl. Math.,V.28, pp. 60-71, January, 1975
  16. W. Anderson, D. Reynolds and G. E. Trapp, "Subtraction of Network Acad. Sci. 47, pp 212-215, 1975.
  17. W. N. Anderson and G. E. Trapp, "An Algebra of Operator Networks", Proc. Int. Sym. Oper. Theo. Net. and Sys., Montreal, pp. 5-15, 1975
  18. W. N. Anderson, R. J. Duffin and G. E. Trapp, "Matrix Operations Induced by Network Connections", SIAM J. Control, 13, pp. 446-461, 1975
  19. W. N. Anderson and G. E. Trapp, "A Class of Monotone Operator Functions Related to Electrical Network Theory", Lin. Alg. Appl. V. 15, pp. 53-67, 1976
  20. W. N. Anderson and G. E. Trapp, "Matrix Operations Induced by Network Connections II", Bull. Cal. Math Soc., 69, pp. 319-330, 1977
  21. W. N. Anderson and G. E. Trapp, "Algebraic Properties of Networks on Matroids", Proc. 20th Mid. Sym. Cir. and Sys., Lubbock, 1977
  22. W. N. Anderson, T. D. Morley and G. E. Trapp, "Fenchel Duality of Nonlinear Networks", IEEE Transactions on Circuits and Systems, Vol. CAS-25, No. 9, pp. 762-765, 1978
  23. W. N. Anderson, T. D. Morley and G. E. Trapp, "Characterization of Parallel Subtraction", Proc. National Academy of Science USA, Vol. 76(8):3599-3601, 1979
  24. W. N. Anderson and G. E. Trapp, "Operator Means and Electrical Networks", Proc. 1980 IEEE International Symposium on Circuits and Systems, pp. 523-527, 1980
  25. D. M. Henry, D. Reynolds and G. E. Trapp, "Equicontinuous and Regular Collections of Functions", Topology Proceedings, 7, pp. 71-81, 1982
  26. D. M. Henry, D. Reynolds and G. E. Trapp, "A Note on Gale's Property (G)", Topology Proceedings, 7, pp. 193-196, 1982
  27. W. N. Anderson, T. D. Morley and G. E. Trapp, "Ladder Networks, Fixpoints and the Geometric Mean", Circuits, Systems and Signal Processing, Vol. 2, pp. 261-268, 1983
  28. D. M. Henry and G. E. Trapp, "Income Tax Averaging and Convexity", The College Mathematics Journal, V. 15, pp. 253-255, 1984
  29. W. N. Anderson, T. D. Morley and G. E. Trapp, "Symmetric Function Means of Positive Operators", Linear Algebra and Its Applications, V. 60, pp. 129-143, 1984
  30. G. E. Trapp, "Hermitian Semidefinite Matrix Means and Related Matrix Inequalities -An Introduction", Linear and Multilinear Algebra, V. 16, pp. 113-123, 1984
  31. W. Anderson, M. Mays and G. E. Trapp, "The Contra-Harmonic Mean and Electrical Networks", Proc. 27th Midwest Symposium on Circuits and Systems, pp. 665-668, 1984
  32. W. N. Anderson and G. E. Trapp, "Cascade Subtraction of Matrices" Proc. Midwest Symposium on Circuits and Systems, pp. 672-675, 1984
  33. W. N. Anderson, , E. J. Harner and G. E. Trapp, "Eigenvalues of the Difference and Product of Projections". Linear and Multilinear Algebra, V17, pp. 295-299, 1985
  34. J. Baker, F. Hiergeist and G. E. Trapp, "The Structure of Multi-Block Circulants", Kyungpook Math. J., V25, pp. 71-75, 1985
  35. W. N. Anderson and G. E. Trapp, "Inverse Problems for Means of Matrices", SIAM J. Alg. Disc. Meth.7, pp. 188-192, 1986
  36. W. N. Anderson, T. D. Morley and G. E. Trapp, "Cascade Addition and Subtraction of Matrices", SIAM J. Alg. Disc. Meth. 7, pp. 609-626, 1986
  37. D. M. Henry, J. Smith and G. E. Trapp, "Computer Analysis of Nonstandard Bingo Probabilities", J. Rec. Math., V. 19, pp. 47-51, 1987
  38. W. N. Anderson, M. Mays, T. D. Morley and G. E. Trapp, "The Contraharmonic Mean of HSD Matrices", SIAM Dis. Math, V. 8, 674-682, 1987
  39. W. N. Anderson and G. E. Trapp, " The Harmonic and Geometric Mean of Vectors", Linear and Multilinear Algebra, V22, pp. 199-200,1987.
  40. W. N. Anderson and G. E. Trapp, " The Extreme Points of a Set of Positive Semidefinite Operators", Lin. Alg. Appl. V106, pp. 209-217, 1988.
  41. J. Baker, F. Hiergeist and G. E. Trapp, " A recursive Algorithm to Invert Multi-block Circulant Matrices", Kyungpook Math. J. V28, pp. 45-50, 1988.
  42. L. Shadle, A. Lui, G. Trapp, Y. Wang, and J. Penn, "Model Prediction of Energy Distribution and Extent of Reactions for Oil Shale Pyrolysis in a Flash Lamp Reactor", Proceedings of the 1988 Eastern Oil Shale Symposium, 1989.
  43. W. N. Anderson, T. D. Morley and G. E. Trapp, " Preface to Special Issue: Advances in Mathematical Circuit Theory", Circuits, Systems and Signal Processing, V9, 1990.
  44. W. N. Anderson, T. D. Morley and G. E. Trapp, " Infinite Networks and Quadratic Optimal Control", Circuits, Systems and Signal Processing, V9, pp. 229-238,1990.
  45. T. Ando, J. Bunce and G. E. Trapp, "An Alternate Variational Characterization of Matrix Riccati Equation Solutions", Circuits, Systems and Signal Processing, V9, pp. 223-228,1990.
  46. W. N. Anderson, T. D. Morley and G. E. Trapp, " Positive Solutions to X = A - B*X-1B ", Lin Alg. Appl. V134, pp. 53-62, 1990.
  47. W. N. Anderson, T. D. Morley and G. E. Trapp, " Sets of Positive Operators with Suprema", SIAM J. Matrix Anal., V11, pp. 207-212, 1990.
  48. B. Palmer,.L. Korbly and G. Trapp, " Measuring the Concurrent Engineering Process", Proceedings of the CALS EXPO 91, pp ce-67,ce-75, November 1991.
  49. T. Davis and G. Trapp. "Advancing Concurrent Engineering Using STEP", Proceedings of the CALS EXPO 91, pp ce-82,ce-89, November 1991.
  50. L. Korbly, B. Palmer and G. Trapp, "A Methodology for Concurrent Engineering Process Modeling", Proceedings of the 6th International Conference on CAD/CAM, Robotics, and Factories of the Future. August, 1991.
  51. T. Davis, B. Palmer and G. Trapp, "CERC's Expressions, Impressions, and Confessions of EXPRESS", Proceedings of the EXPRESS User's Group, October, 1991.
  52. M. Henry, J. Smith and G. Trapp, "Hypergeometric Probabilities and Keno Clones", Mathematics and Computer Education, V26, no. 1, pp 44-49, 1992.
  53. W. Anderson, T. Morley and G. Trapp "A DIXIE-CUP: Visualizing Order Intervals of Matrices" Lin. Alg. and Appl. 164, 725-728, 1992.
  54. G. Trapp, "A CALS/CITIS, Concurrent Engineering and PDES/STEP Synergy", CALS Journal, Spring, pp 83-87, 1992
  55. G. Trapp, "The Emerging STEP Standard for Product Data Exchange", Computer, Vol. 26, No. 2, 1993, PP 85-87, 1993
  56. Delahan, F. W. Klostermeyer, and G. Trapp, "Another Way to Solve Nine Tails", ACM SIGCSE Bulletin, Vol. 27, No. 4, December 1995.