Mathematics - 1985

Chu, M. T. (1985). Symbolic calculation of the trace of the power of a tridiagonal matrix. Computing, 35(3-4), 257–268. https://doi.org/10.1007/BF02240193

Chu, M. T. (1985). Asymptotic analysis of Toda lattice on diagonalizable matrices. Nonlinear Analysis, 9(2), 193–201. https://doi.org/10.1016/0362-546X(85)90072-0

Kaltofen, E., & Pan, V. (1985). The integer manipulation techniques can compete with the linear algebra methods for solving sparse linear systems (Technical Report No. 85-6). State University of New York at Albany, Computer Science Department.

Huang, K., & Li, Z. (1985). On the relation between the behavior and the distribution of the zeros of a polynomial. Journal of Nanjing University, Mathematics Biquarterly, 2(1), 53–59.

Shearer, M., & Schaeffer, D. G. (1985). Three phase flow in a porous medium and the classification of non-strictly hyperbolic conservation laws. Transactions of the third Army Conference on Applied Mathematics and Computing, 509–518. Research Triangle, North Carolina: U.S. Army Research Office.

Shearer, M. (1985). The interaction of transverse waves for the vibrating string. In J. H. Lightbourne & S. M. Rankin (Eds.), Physical Mathematics and Nonlinear Partial Differential Equations (pp. 229–238). New York: Marcel Dekker.

Delosme, J.-M., & Ipsen, I. C. F. (1985). An illustration of a methodology for the construction of efficient systolic architectures in VLSI. Proceedings of the Second International Symposium on VLSI Technology, Systems and Applications, 268–273.

von zur Gathen, J., & Kaltofen, E. (1985). Factorization of multivariate polynomials over finite fields. Mathematics of Computation, 45(171), 251–251. https://doi.org/10.1090/s0025-5718-1985-0790658-x

Tran, H., & Manitius, A. (1985). On the numerical approximations for linear functional differential equations with input and output delays. 1985 24th IEEE Conference on Decision and Control. Presented at the 1985 24th IEEE Conference on Decision and Control, Fort Lauderdale, FL. https://doi.org/10.1109/cdc.1985.268746

Silverstein, J. W. (1985). The Smallest Eigenvalue of a Large Dimensional Wishart Matrix. The Annals of Probability, 13(4), 1364–1368. https://doi.org/10.1214/aop/1176992819

Silverstein, J. W. (1985). The Limiting Eigenvalue Distribution of a Multivariate F Matrix. SIAM Journal on Mathematical Analysis, 16(3), 641–646. https://doi.org/10.1137/0516047

Shearer, M. (1985). The nonlinear interaction of smooth travelling waves in an elastic string. Wave Motion, 7(2), 169–175. https://doi.org/10.1016/0165-2125(85)90044-7

Shearer, M. (1985). Elementary Wave Solutions of the Equations Describing the Motion of an Elastic String. SIAM Journal on Mathematical Analysis, 16(3), 447–459. https://doi.org/10.1137/0516032

Manitius, A., & Tran, H. (1985). Computation of closed-loop eigenvalues associated with the optimal regulator problem for functional differential equations. IEEE Transactions on Automatic Control, 30(12), 1245–1248. https://doi.org/10.1109/tac.1985.1103866

Campbell, S. L. (1985). Rank deficient least squares and the numerical solution of linear singular implicit systems of differential equations. https://doi.org/10.1090/conm/047/828292

Campbell, S. L. (1985). The Numerical Solution of Higher Index Linear Time Varying Singular Systems of Differential Equations. SIAM Journal on Scientific and Statistical Computing, 6(2), 334–348. https://doi.org/10.1137/0906024

Campbell, S., & Rodriguez, J. (1985). Bounded solutions of discrete singular systems on infinite time intervals. IEEE Transactions on Automatic Control, 30(2), 165–168. https://doi.org/10.1109/tac.1985.1103905

Kaltofen, E. (1985). Effective Hilbert irreducibility. Information and Control, 66(3), 123–137. https://doi.org/10.1016/s0019-9958(85)80056-5

Kaltofen, E. (1985). Fast parallel absolute irreducibility testing. Journal of Symbolic Computation, 1(1), 57–67. https://doi.org/10.1016/s0747-7171(85)80029-8

Kaltofen, E. (1985). Computing with polynomials given by straight-line programs II sparse factorization. 26th Annual Symposium on Foundations of Computer Science (sfcs 1985). Presented at the 26th Annual Symposium on Foundations of Computer Science (sfcs 1985). https://doi.org/10.1109/sfcs.1985.17

Kaltofen, E. (1985). Computing with polynomials given by straight-line programs I: greatest common divisors. Proceedings of the seventeenth annual ACM symposium on Theory of computing  - STOC '85. Presented at the the seventeenth annual ACM symposium. https://doi.org/10.1145/22145.22160

Kaltofen, E. (1985). Polynomial-Time Reductions from Multivariate to Bi- and Univariate Integral Polynomial Factorization. SIAM Journal on Computing, 14(2), 469–489. https://doi.org/10.1137/0214035

von zur Gathen, J., & Kaltofen, E. (1985). Factoring sparse multivariate polynomials. Journal of Computer and System Sciences, 31(2), 265–287. https://doi.org/10.1016/0022-0000(85)90044-3

Kaltofen, E. (1985). Sparse hensel lifting. In EUROCAL '85 (pp. 4–17). https://doi.org/10.1007/3-540-15984-3_230

Kelley, C. T., & Sachs, E. W. (1985). Broyden's method for approximate solution of nonlinear integral equations. Journal of Integral Equations, 9(1), 25–44.

Kelley, C. T., & Mullikin, T. W. (1985). Why does the {F_N}-Method work? Trans. Th. Stat. Phys., 14, 513–526.

Clapp, T. G., Kelley, C. T., & Eberhardt, A. C. (1985). Analytical determination of normal contact stresses for arbitrary geometries with application to the tire/pavement interaction mechanism. In T. D. Gillespie & M. Sayers (Eds.), Measuring Road Roughness and its Effects on User Cost and Comfort (pp. 162–178). Baltimore.

Decker, D. W., & Kelley, C. T. (1985). Expanded Convergence Domains for Newton’s Method at Nearly Singular Roots. SIAM Journal on Scientific and Statistical Computing, 6(4), 951–966. https://doi.org/10.1137/0906064

Decker, D. W., & Kelley, C. T. (1985). Broyden’s Method for a Class of Problems Having Singular Jacobian at the Root. SIAM Journal on Numerical Analysis, 22(3), 566–574. https://doi.org/10.1137/0722034

Bhatt, S. N., & Ipsen, I. C. F. (1985). How to embed trees in hypercubes (Research Report No. 443). New Haven, Connecticut: Department of Computer Science, Yale University.

Kelley, C. T., & Mullikin, T. W. (1985). Why does the -method work? Transport Theory and Statistical Physics, 14, 513–526.