A Multiple Group Least Squares’ Problem and the Significance of the Associated Orthogonal Polynomials
多组最小二乘问题及其相关正交多项式的意义
A multiple group least squares’ problem is presented and solved which involves determination of certain coefficients separately for each of several samples with a final coefficient given a single optimum value for all samples grouped together. The computation of orthogonal polynomials implicit in the normal equations is discussed relative to the forward solution of these equations. Certain significant advantages of computing orthogonal predictors are pointed out. A numerical…