KAVWEPS REPORT 76 50 



APPENDIX 



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PROBLEM NO. O8O-O7, THREE R's 



Purpose 



The pvirpose of this problem is to solve three equations of the 

 following type for R , Rp, R^. 



2 F+R 



Method 



The problem is converted to one of least squares . Equality in the 

 above equations is replaced by difference and the s\im of squares is 

 formed. Through the use of subroutine N0 LSQ, the original estimates p 

 for R^ , Rp, R are adjusted in an attempt to minimize the sum of squares. 



Procedure 



To suGcessfvilly implement the program, an estimate must be made for 

 R]_, R2, R^ and something must be known about the accuracy of the esti- 

 mate. A quantity DR is input to the program and is the basic increment 

 for adjusting R2_, R^j %• DR should be about lOfo of the expected 

 accuracy of the estimate. If the results of the first entry of the 

 program are not satisfactorily accurate, re-enter the program using as 

 an estimate for R]_, R2, Rx the values that produced the least sum of 

 squares and a DR, which is lOfo of the original. For best results scale 

 R^, Rg, R2, and DR to avoid making the sum of squares too small. 



This problem was originated by J. R. Lovett and programmed by 



R. D. Dancey of this Station. 

 p 



Subroutine N)6 LSQ was written by R. S. Gardner of this Station. 



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