Now showing items 3-6 of 6

    • 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 ...