Normal equations

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Related to Normal equations: Least squares problem
(Method of Least Squares) a set of equations of the first degree equal in number to the number of unknown quantities, and derived from the observations by a specified process. The solution of the normal equations gives the most probable values of the unknown quantities.

See also: Normal

References in periodicals archive ?
Inclusion of 15 new default custom fetal measurements with configured normal equations and tables for more robust fetal measurement data and auto-population capability.
The new strategy relies on the appropriate reconstruction of the normal equations of each network and their combination for the final solution.
These two equations are called normal equations of a least square line.
After substituting (14) into (15), the linear normal equations
The least-squares technique from multiple-regression analysis leads to the solution of the normal equations in the form of
PMCHWT and CTF formulations combine only tangential equations, CNF combines only normal equations and JMCFIE combines both tangential and normal equations.
Y = a+bx where a and b are constants whose values were obtained using normal equations.
17) are normal equations, so they can be solved by cholesky factorization.
The game might still be drawn although with a match run rate of over four per over, normal equations are inapplicable.
Note: The values of (a) and (b) obtained from the Normal equations correspond to a minimum value for the quadratic function Q(a,b) given by equation (4), as can be easily demonstrated by using the optimization methodology of differential calculus for functions of two independent variables.
Hudson of the CSIRO Computing Research Section wrote the sub-routine for solution of the normal equations, based on the method of Cholesky.