Selected Publications of Mathematics Faculty

Ariyawansa, K. A., C. Cacho, and A. J. Felt. A family of stochastic programming test problems based on a model for tactical manpower planning. Journal of Mathematical Modelling and Algorithms 4(4):369-390, 2005.

Ariyawansa, K. A., and W. L. Tabor. A note on line search termination criteria for collinear scaling algorithms. Computing 70:25-39, 2003.

Ariyawansa, K. A., W. C. Davidon, and K. D. McKennon. A characterization of convexity-preserving maps from a subset of a vector space into another. J. London Math. Soc. 64:179-190, 2001.

Ariyawansa, K. A., W. C. Davidon, and K. D. McKennon. On a characterization of convexity-preserving maps, Davidon's collinear scalings and Karmarkar's projective transformations. Math. Program., Ser. A 90:153-168, 2001.

Cooper, S. C., and P. Gustafson. The strong Chebyshev and orthogonal Laurent polynomials. J. Approximation Theory 92:361-78, 1998.

Cooper, S. C., and P. Gustafson. Extremal properties of strong quadrative weights a nd maximal mass results for truncated strong moment problems. JCAM 80:197-208, 1997.

DeTemple, D. W., and C. T. Long. Mathematical Reasoning for Elementary School Teachers, 4th ed. Boston, MA: Addison Wesley, 2006.

DeTemple, D. W. Combinatorial proofs via flagpole arrangements. Coll. J. Math. 35:129-133, 2004.

DeTemple, D. W., and M. Hudelson. Square-banded polygons and affine regularity, Amer. Math. Monthly 108:100-114, 2001.

Dillon, R., L. Fauci, and Charlotte Omoto. Mathematical Modeling of Axoneme Mechanics and Fluid Dynamics in Ciliary and Sperm Motility.Dynamics of continuous, discrete and impulsive systems: Series A 10:745-757, 2003.

Dillon, R., C. Gadgil, and H. G. Othmer. Short- and long-range effects of sonic hedgehog in limb development. PNAS. 100(18):10152-10157, 2003.

Dillon, R., and L. Fauci. An integrative model of internal axoneme mechanics and external fluid dynamics in ciliary beating. J. theor. Biol. 207:415-430, 2000.

Genz, A. Numerical computation of rectangular bivariate and trivariate normal probabilities. Statistics and Computing 14:251-260, 2004.

Genz, A., and Cools, R. An adaptive numerical cubature algorithm for simplices. ACM Trans. Math. Soft. 29:297-308, 2003.

Genz, A. Fully symmetric interpolatory rules for multiple integrals over hyper-spherical surfaces. J. Comp. Appl. Math. 157:187-195, 2003.

Genz, A., and Bretz, F. Comparison of methods for the computation of multivariate t probabilities. J. Comp. Graph. Stat. 11:950-971, 2002.

Holt, R.D., M. Barfield, and R. Gomulkiewicz. Temporal variation can facilitate niche evolution in harsh sink environments. The American Naturalist 164:187-200, 2004.

Gomulkiewicz, R., S. L. Nuismer, and J. N. Thompson. Coevolution in variable mutualisms. The American Naturalist 162:S80-S93, 2003.

Kingsolver, J. G., and R. Gomulkiewicz. Environmental variation and selection on performance curves. Integrative and Comparative Biology 43:470-477, 2003.

Gomulkiewicz, R., M. N. Thompson, R. D. Holt, S. L. Nuismer, and M. E. Hochberg. Hot spots, cold spots, and the geographic mosaic theory of coevolution. The American Naturalist 156:156-74, 2000.

Hudelson, M. Recurrences Modulo P. Fibonacci Quarterly, in press.

Hudelson, M. Periodic ominhedral billiards in regular polyhedra and polytopes. Journal of Geometry, in press.

Hudelson, M. A solution to the generalized Cevian problem using forest polynomials. J. Combinatorial Theory Ser. A 88:297-305, 1999.

Jacroux, M. A note on the construction of magic rectangles of higher order. ARS Combinatorica, in press.

Jacroux, M. On the determination and construction of A- and MU-optimal block designs for comparing a set of treatments to a set of standard treatments. J. Stat. Plann. Inf., in press.

Jacroux, M. Some optimal orthogonal and nearly-orthogonal block designs for comparing a set of a set of test treatments to a set of standard treatments. Sankhya B 62:276-289, 2000.

Jandhyala, V. K., N. E. Evaggelopoulos, and S. B. Fotopoulos. A comparison of unconditional and conditional solutions to the maximum likelihood estimation of a change-point. Computational Statistics and Data Analysis, in press.

Jandhyala, V. K., J. A. Alsaleh. Parameter changes at unknown times in non-linear regression. Environmetrics 10:711-24, 1999.

Jandhyala, V. K., S. B. Fotopoulos, and N. E. Evaggelopoulos. Change-point methods for Weibull models with applications to detection of trends in extreme temperatures. Environmetrics 10:547-64, 1999.

Kallaher, M. Translation planes. In Handbook of Geometry. pp. 137-92, ed. F. Buckenhout, 1995 (an invited review chapter).

Hanson, J., and M. Kallaher. Finite Bol quasifields are nearfields. Utilitas Math. 37:45-64, 1990.

Kent, D., and W. K. Min. Neighborhood spaces. Int. J. Math. Sci. 32:387-399, 2002.

Kent, D., and J. Wig. P-regular Cauchy completions. Int. J. Math. Math. Sci. 24:275-304, 2000.

Kent, D., and S. A. Wilde. P-topological and p-regular: Dual notions in convergence theory. Int. J. Math. Math. Sci. 22:1-12, 1999.

Kent, D., and G. Richardson. Completions of probabilistic convergence spaces. Mathematica Jpn. 48:399-407, 1998.

Khapalov, A. Y. Controllability of the semilinear parabolic equation governed by a multiplicative control in the reaction term: A qualitative approach. SIAM. J. Control Optim. 41:1886-1900, 2003.

Khapalov, A. Y. Global non-negative controllability of the semilinear parabolic equation governed by bilinear control. ESAIM: Controle, Optimisation et Calcul des Variations 7:269-283, 2002.

Khapalov, A. Y. Mobile point controls versus locally distributed ones for the controllability of the semilinear parabolic equation. SIAM J. Control Optim. 40:231-252, 2001.

Khapalov, A. Y. Observability and stabilization for the vibrating string equipped with bouncing point sensors and actuators. Mathematical Methods in Applied Sciences 24:1055-1072, 2001.

Krishnamoorthy, B., and A. Tropsha. Development of a four-body statistical pseudo-potential to discriminate native from non-native protein conformations. Bioinformatics 19(12):1540-1548, 2003.

Xu, S., and H. Li. Majorization of weighted trees: A new tool to study correlated stochastic systems. Math. Oper. Res. 35:298-323, 2000.

Li, H. Stochastic models for dependent life lengths induced by common pure jump shock environments. J. Appl. Prob. 37:453-469, 2000.

Li, H., and M. Shaked. On the first passage times for Markov processes with monotone convex transition kernels. Stochastic Processes and Their Applications 58:205-216, 1995.

Song, Y., D. Edwards, and V. S. Manoranjan. Fuzzy cell mapping applied to autonomous systems. ASME J. Computing and Information Science in Engineering, in press.

Patton, R. L., V. S. Manoranjan, and A. J. Watkinson. Plate formation at the surface of a convecting fluid. Proceedings of the XIII-th International Congress in Rheology, British Society of Rheology 167-169, 2000.

Manoranjan, V. S. Qualitative study of differential equations. MAA Notes No. 50, Revolutions in Differential Equations--Exploring ODEs with Modern Technology (M. J. Kallaher, Ed.) 59-65, 1999.

Zaslavsky, B. G., and J. J. McDonald. A Characterization of Jordan Canonical Forms which are similar to Eventually Nonnegative Matrices with the Properties of Nonnegative Matrices. Linear Algebra and its Applications, in press.

McDonald, J. J. The Peripheral Spectrum of a Nonnegative Matrix.Linear Algebra and its Applications 363:217-235, 2003.

Carnochan Naqvi, S., and J. J. McDonald. The Combinatorial Structure of Eventually Nonnegative Matrices. Electronic Journal of Linear Algebra 9:255-269, 2002.

McDonald, J. J., and M. Neumann. The Soules Approach to the Inverse Eigenvalue Problem for Nonnegative Symmetric Matrices of Order $n\leq 5$. Contemporary Mathematics 259:387-390, 2000.

Mifflin, R., and C. Sagastizabal. A VU-algorithm for convex minimization. Math. Progra., Ser. B. 104: 583-608, 2005.

Mifflin, R., and C. Sagastizabal. VU-smoothness and proximal point results for nonconvex functions. Optimization Methods and Software 19:463-478, 2004.

Mifflin, R., and C. Sagastizabel. Primal-dual gradient structured functions: second order results; links to epiderivatives and partly smooth functions. SIAM J. Optimization 13:1174-1194, 2002.

Mifflin, R., and C. Sagastizabal. Proximal points are on the fast track. Journal of Convex Analysis 9: 563-579, 2002.

Pascual, F. G. and G. Montepiedra. Accelerated life testing under distribution misspecification: biased estimation and test planning. IEEE Transactions on Reliability. 55:43-52, 2005.

Pascual, F. G. Theory for optimal test plans for the random fatigue-limit model. Technometrics 45:130-141, 2003.

Pascual, F. G., and G. Montepiedra. Model-Robust test plans with applications in accelerated life testing. Technometrics 45:47-57, 2003.

Pascual, F. G., and W. Q. Meeker. Estimating fatigue curves with the random fatigue-limit model. Technometrics 41:277-290, 1999.

Pate, E., et al. Closing the nucleotide pocket of kinesin-family motors upon binging to microtubules. Science 300 (5620): 708-801, 2003.

Pate, E., et al. Molecular dynamic study of the energenic, mechnaistic and strutural implications of a closed phosate tube in ncd. Biophsy. J. 80(3): 1151-68. 2001.

Pate, E., et al. A structural change in the kinesin motor that drives motility. Nature 402:778-84, 1999.

Schumaker, M. F., and David S. Watkins. A framework model based on the Smoluchowski equation in two reaction coordinates. Journal of Chemical Physics 121(13): 6134-6144, 2004.

Gowen, J. A., J. C. Markham, S. E. Morrison, T. A. Cross, D. D. Busath and M. F. Schumaker. The role of trp side chains in tuning single proton conduction through gramicidin channels. Biophysical Journal 83(2):880-898, 2002.

Schumaker, M. F. Boundary conditions and trajectories of diffusion processes.Journal of Chemical Physics 117(6):2469-2473, 2002.

Psarrakos, P. J., and M. J. Tsatsomeros. A primer of Perron-Frobenius theory for matrix polynomials. Linear Algebra and its Applications, in press.

Monov, V., and M.J. Tsatsomeros. On reducing and deflating subspaces of matrices. Electron. J. Linear Algebra 11:246-257, 2004.

Tsatsomeros, M. J. Matrices with a common non-trivial invariant subspace. Linear Algebra and Its Applications 322:51-59, 2001.

Tsatsomeros, M. J., and L. Li. A recursive test for P-matrices. BIT 40(2):404-408, 2000.

Watkins, D. S. Product eigenvalue problems. SIAM Review 47:3-40, 2005.

Watkins, D. S. On Hamiltonian and symplectic Lanczos processes. Linear Algebra Appl. 385:23-45, 2004.

Henry, G., D. S. Watkins, and J. J. Dongarra. A parallel implementation of the nonsymmetric QR algorithm for distributed memory architectures. SIAM J. Sci. Comput. 24: 284-311, 2003.

Watkins, D. S. Fundamentals of Matrix Computations, 2nd Edition, John Wiley and Sons, 2002.

Webb, W., and H. Yokota. Polynomial Pell's Equation. Proc. Amer. Math. Soc. 131(4):993-1006, 2003.

Webb, W., and M. Caragiu. Invariants for linear recurrences. In Applications of Fibonacci Numbers, Vol. 8., pp. 75-81. Dordrecht: Kluwer, 1999.

Webb, W. An algorithm for super envy-free cake division. J. Math. Anal. Appl. 239:175-79, 1999.

Webb, W., and J. M. Robertson. Cake Cutting Algorithms. Natlick, MA: A. K. Peters, 1998.

Tian, E. M., and D. J. Wollkind. A nonlinear stability analysis of pattern formation in thin liquid films. Interfaces and Free Boundaries. 5:1-25, 2003.

Wollkind, D. J., and L. E. Stephenson. Chemical Turing patterns: A model system of a paradigm for morphogenesis. In Mathematical Models of Biological Pattern Formation. pp. 113-42, eds. P. K. Maini and H. G. Othmer. New York: Springer-Verlag, 2001.

Wollkind, D. J., V. S. Manoranjan, and L. Zhang. Weakly nonlinear stability analyses of prototype reaction-diffusion model equations. SIAM Rev. 36:176-214, 1994.

Wollkind, D. J., and L. Zhang. The effect of suspended particles on Rayleigh-Bénard convection II. A nonlinear stability analyses of a thermal disequilibrium model. Math. Comput. Modelling 19:43-74, 1994.

Wei, W. and H. Yin. Global solvability to a singular Maxwell's equation in quasi-stationary electromagnetic fields. Communications in Pure and Applied Analysis. 4:431-444, 2005.

Yin, H. Regularity of weak solution to Maxwell's equations and applications to microwave heating. Journal of Differential Equations 200:137-161, 2004.

Yin, H. On a class of parabolic equations with nonlocal boundary conditions. Journal of Mathematical Analysis and Applications 294: 712-728, 2004.

Yin, H. On a nonlinear Maxwell's equation in quasi-stationary fields. Mathematical Methods and Modeling in Applied Sciences. 14:1521-1539. 2004.