Browsing by Author "Rosen, J.B."
Now showing items 3-6 of 6
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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 ...