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    Detecting Periodic Components in a White Gaussian Time Series 

    Chiu, Shean-Tsong (1986-10)
    A family of tests for periodic components in a white Gaussian series is proposed. The test is based on a statistic which is proportional to the ratio of the maximum periodogram to the trimmed mean of the periodograms. The ...
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    A View of Unconstrained Optimization 

    Dennis, J.E. Jr.; Schnabel, Robert B. (1987-10)
    Finding the unconstrained minimizer of a function of more than one variable is an important problem with many practical applications, including data fitting, engineering design, and process control. In addition, techniques ...
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    Least-Change Secant Update Methods with Inaccurate Secant Conditions 

    Dennis, J.E. Jr.; Walker, Homer F. (1983-11)
    In this paper, we investigate the role of the secant or quasi-Newton condition in the sparse Broyden or Schubert update method for solving systems of nonlinear equations whose Jacobians are either sparse, or can be approximated acceptably by conveniently sparse matrices. We develop a general theory on perturbations to the secant equation that will still allow a proof of local q-linear convergence. To illustrate the theory, we show how to generalize the standard secant condition to the case when the function difference is contaminated by noise....
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    Local Analysis of Inexact Quasi-Newton Methods 

    Eisenstat, Stanley C.; Steihaug, Trond (1982-05)
    Quasi-Newton methods are well known iterative methods for solving nonlinear problems. At each stage, a system of linear equations has to be solved. However, for large scale problems, solving the linear system of equations ...
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    A Trust Region Strategy for Nonlinear Equality Constrained Optimization 

    Celis, M.R.; Dennis, J.E. Jr. (1984-09)
    Many current algorithms for nonlinear constrained optimization problems determine a direction by solving a quadratic programming subproblem. The global convergence properties are addressed by using a line search technique ...
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    SIMEST: An Algorithm for Simulation Based Estimation of Parameters Characterizing a Stochastic Process 

    Thompson, James R.; Atkinson, E. Neely; Brown, Barry (1986-08)
    The axioms defining stochastic processes are generally simple. However, estimation of the parameters of a process from data is extremely difficult if customary techniques are used. This is due to the complexities involved ...
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    An Operator-Splitting Method for Advection-Diffusion-Reaction Problems 

    Wheeler, M.F.; Dawson, C.N. (1987-05)
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    A Global Convergence Theory for Arbitrary Norm Trust Region Methods for Nonlinear Equations 

    El Hallabi, Mohammedi (1987-03)
    In this research we extend the Levenberg-Marquardt algorithm for approximating zeros of the nonlinear system F(x) = 0, where F is continuously differentiable from R^n to R^n. Instead of the l2-norm, arbitrary norms can ...
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    Optimization on Microcomputers. The Nelder-Mead Simplex Algorithm 

    Dennis, J.E. Jr.; Woods, Daniel J. (1985-05)
    In this paper we describe the Nelder-Mead simplex method for obtaining the minimizer of a function. The Nelder-Mead algorithm has several properties that make it a natural choice for implementation and utilization on ...
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    The Semantics of Lazy (and Industrious) Evaluation 

    Cartwright, Robert; Donahue, James (1983-12)
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    AuthorDennis, J.E. Jr. (19)Potempa,Thom (10)Tapia, R.A. (9)Symes, William W. (8)Wheeler, M.F. (8)Steihaug, Trond (6)Bixby, Robert E. (5)Boyd, E. Andrew (4)Chiu, Shean-Tsong (4)Dawson, C.N. (4)... View MoreDate Issued1987 (27)1983 (23)1986 (22)1988 (16)1989 (16)1985 (11)1984 (5)1981 (3)1982 (3)Has File(s)
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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892