Now showing items 1-6 of 6

    • An Interactive Display for Approximation by Linear Programming 

      LaFata, P.; Rosen, J.B. (University of Wisconsin-Madison Department of Computer Sciences, 1969)
      An interactive program with a graphical display has been developed for the approximation of data by means of a linear combination of functions selected by the user. The coefficients of the approximation are determined by ...
    • Interactive Graphical Spline Approximation to Boundary Value Problems 

      Rosen, J.B.; LaFata, Paul (University of Wisconsin-Madison Department of Computer Sciences, 1971)
      Earlier work on interactive graphical approximation of data using linear programming has now been extended to ordinary differential equation multipoint boundary value problems. The approximation is obtained using a suitable ...
    • Minimum Error Bounds for Multidimensional Spline Approximation 

      Rosen, J.B. (University of Wisconsin-Madison Department of Computer Sciences, 1970)
      Approximation of a smooth function f on a rectangular domain 9 c E' , by a tensor product of splines of degree m is considered. A basis for the product spline is formed using a single one-dimensional spline function. The ...
    • Parsimonious Least Norm Approximation 

      Rosen, J.B.; Mangasarian, O.L.; Bradley, P.S. (1997)
      A theoretically justifiable fast finite successive linear approximation algorithm is proposed for obtaining a parsimonious solution to a corrupted linear system Ax=b+p, where the corruption p is due to noise or error in ...
    • A Quadratically Convergent Lagrangian Algorithm for Nonlinear Constraints 

      Rosen, J.B.; Kreuser, J.L. (University of Wisconsin-Madison Department of Computer Sciences, 1972)
      An algorithm for the nonlinearly constrained optimization problem is presented. The algorithm consists of a sequence of major iterations generated by linearizing each nonlinear constraint about the current point, and adding ...
    • Solution of Nonlinear Two-Point Boundary Value Problems by Linear Programming 

      Rosen, J.B.; Meyer, Robert (University of Wisconsin-Madison Department of Computer Sciences, 1967)
      A system of n nonlinear ordinary differential equations is considered on the interval [a, b] with at least one of the n boundary conditions specified at each end of the interval. In addition, any available a priori bounds ...