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Название: Linear and Nonlinear Models: Fixed Effects, Random Effects, and Mixed Models
Автор: Grafarend E.W.
This monograph offers a thorough treatment of methods for solving over- and underdetermined systems of equations. The considered problems can be non-linear or linear, and deterministic models as well as statistical effects are discussed. Considered methods include, e.g., minimum norm and least squares solution methods with respect to weighted norms. In-addition, minimum bias and minimum variance methods as well as the Tikhonov-Phillips regularization are considered. In an extensive appendix, all necessary prerequisites like matrix algebra, matrix analysis and Lagrange multipliers are presented. An extended list of references is also provided.