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Title: FC; LSEI; WNNLS; constrained least squares fit. [CDC6600,7600,CYBER175 (designed to be machine-independent); FORTRAN IV]

Technical Report ·
OSTI ID:6228448

FC allows a user to fit discrete data, in a weighted least-squares sense, using piece-wise polynomial functions represented by B-splines on a given set of knots. In addition to the least-squares fitting of the data, equality, inequality, and periodic constraints at a discrete, user-specified set of points can be imposed on the fitted curve or its derivatives. The subprograms LSEI and WNNLS solve the linearly-constrained least-squares problem. LSEI solves the class of problem with general inequality constraints, and, if requested, obtains a covariance matrix of the solution parameters. WNNLS solves the class of problem with nonnegativity constraints. It is anticipated that most users will find LSEI suitable for their needs; however, users with inequalities that are single bounds on variables may wish to use WNNLS.CDC6600,7600,CYBER175 (designed to be machine-independent); FORTRAN IV; NOS 1.4 (CDC6600), SCOPE 2.1 (CDC7600), NOS 1.3 (CDC CYBER175); 37,000 (octal) words of storage are needed to execute the sample driver that is provided. The storage required is a linear function of the number of data points plus a quadratic function of the number of piecewise polynomial coefficients. The code is edited output produced by the FORTRAN preprocessor, FLECS.

Research Organization:
Sandia National Labs., Albuquerque, NM (USA)
OSTI ID:
6228448
Report Number(s):
ANL/NESC-909; ON: DE83048909
Resource Relation:
Other Information: Source decks (FC,LSEI,WNNLS 5572 cards, BLAS 726 cards) Sample driver (537 cards) Reference reports, SAND78-1290, SAND78-1291, and NESC Note
Country of Publication:
United States
Language:
English