Sentence examples for norm quadratic from inspiring English sources

65 (1970) 161) minimum norm quadratic unbiased estimator (MINQUE).

A sufficient condition for unbiasedness of the estimator is that (Rao, 1971; Sjöberg, 1983; Rao and Kleffe, 1988) (17a) where (17b) and, in the case of normally distributed observation errors, the BQUE, and, in the general case, the MInimum Norm Quadratic Unbiased Estimator (MINQUE) of p T σ is provided by and (18a) (18a) (18a).

Variance components were calculated using VARCOMP (Minimum Norm Quadratic Unbiased Estimation the MINQUE procedure) in SPSS using SPSS syntax.

Some principled techniques used to estimate these parameters include minimum norm quadratic unbiased estimation (Rao 1971), the variance least-squares approach (Amemiya 1977; Demidenko 2004, p. 223), and the Bayesian approaches implemented in the R package BGLR (Rodrıguez and De Los Campos 2012).

These considerations give rise to the minimum norm partial quadratic eigenvalue assignment problem (MNPQEVAP) and the robust partial quadratic eigenvalue assignment problem (RPQEVAP), respectively.

Based on the receptance measurements and the system matrices, we propose an optimization method for the robust and minimum norm partial quadratic eigenvalue assignment problem.

Jian et al. [17] developed the norm-Relaxed SQP method based on active set identification and new line search for constrained minimax problems, which the master direction and high-order correction direction are computed by solving a new type of norm-relaxed quadratic programming subproblem and a system of linear equations, respectively.

where ||·|| F is the Frobenius (e.g., quadratic) norm.

Moreover, superscript T stands for transpose, ⊗ represents the Kronecker product, and ||·||2 denotes a quadratic norm.

Specifically, let us denote by E z = def | | z | | 2 the quadratic norm of the vector z.

where E i is the quadratic norm and is defined as: E i = ( g model − g i ) 2 (13).