A Computer Program for Quadratic Mathematical Models To Be Used for Aircraft Design and Other Applications Involving Linear Constraints

Abstract : The report contains a user's guide and listing of a FORTRAN 4 computer program, called RS QPF4/360, that minimizes a quadratic function of nonnegative variables subject to linear constraints. Originally developed to provide a smooth fit for segments of three-dimensional surfaces such as wings, fuselages, and ship hulls, the program applies generally to least squares fitting with linear constraints. It may be used for inventory control, missile tracking, weather, and reliability studies. A conversion of an earlier Rand program for use on the IBM 360/65, the double-precision code is all in core, with no time-consuming calls to peripheral equipment. The size of data storage can easily be set by the user. Problem size is usually limited by the size of the inverse of the basis, although data are packed in storage. Familiarity with the terminology used in the M series linear programming codes submitted to SHARE is assumed. (Author)