Selected Algorithms for Least Squares Computations: A Users Guide.

ALO (Albuquerque Operations Office, Albuquerque, NM (United States)), Richard J. Hanson, DOE · 1978

This report is intended to be a practical camputational.gtiide for persons •.•who must solve.linear least squares problems .A list of high-quality software, readily available to Sandia Laboratories personnel, is given.Six commonly occurring computational problems are illustrated by the inclusion of FORTRAN programs that utilize an appropriate FORTRAN subprogram.of this list.These problems are identified as Standard Usage (Section 2.), Sequential Accumulation (Section 5.), Normal Equations (Section 8 ~), Equality and • • Inequality Constraints.(Section 9.), Constrained• Curve Fitting by a Cubic ••Polynomial (Section 10.),. and Tll-Posed Problems (Section 11).• • Other• probleiri are.as• discussed a.re identified as Formulating Curve Fitting Problems (Section 3.), Problems with Many Columns.(Section 6.), and Banded Least Squares• Pro"blems (Section 7.)~ Printed in the United States of America Available from • .. !"•.

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