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équations normales

normal equations

analyse économique - iate.europa.eu

solution déterminée des équations normales

determinate solution of the normal equations

sciences naturelles et appliquées - iate.europa.eu

solution indéterminée des équations normales

indeterminate solution of the normal equations

sciences naturelles et appliquées - iate.europa.eu

nous obtenons un système d’équations appelées « équations normales » :

This gives us a system of D equations known as the normal equations.

général - CCMatrix (Wikipedia + CommonCrawl)

Ce problème est résolu dans le modèle linéaire général en utilisant un inverse généralisé de la matrice X`X pour résoudre les équations normales.

This problem is solved in the general linear model by using a generalized inverse of the X’X matrix in solving the normal equations.

général - CCMatrix (Wikipedia + CommonCrawl)

Idéalement, chaque élément de la matrice diagonale de pondération W devrait être égal à l'inverse de la variance de l'observation [1] Les équations normales deviennent alors

In this case the weight matrix should ideally be equal to the inverse of the variance-covariance matrix of the observations).[3] The normal equations are then:

général - CCMatrix (Wikipedia + CommonCrawl)

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About solving the numerical equations at five or six unknowns

Un ennui éprouvé dans la détermination des constantes astronomiques consiste dans la résolution des équations normales lorsque le nombre d’inconnues est considérable mais il est aisé d’en vérifier l’exactitude....

...audience: researcher, professional, studentOne trouble felt in the determination of the astronomical constants consists in the resolution of the normal equations when the number of unknowns is high but it’s easy to verify its accuracy....

général - core.ac.uk - PDF: orbi.uliege.be

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Model structure and numerical properties of normal equations... Namely, for white input, perfect conditioning of the leastsquares normal equations is achieved by design....

général - core.ac.uk - PDF: citeseerx.ist.psu.edu

Preconditioning of linear least squares by robust incomplete factorization for implicitly held normal equationsThe efficient solution of the normal equations corresponding to a large sparse linear least squares problem can be extremely challenging....

PDF: core.ac.uk

Solution of toeplitz normal equations by sine transform based preconditioning AbstractThe normal equations constructed by a Toeplitz matrix are studied, in order to find a suitable preconditioner related to the discrete sine transform....

Abs solution of normal equations of secound type and application to the primal-dual interior point method for linear programing... When approaching the solution the linear system, which has the form of normal equations of the second kind, becomes more and more ill conditioned....

PDF: www.sid.ir

A multilevel block incomplete cholesky preconditioner for solving normal equations in linear leasts quares problemsAn incomplete factorization method for preconditioning symmetric positive definite matrices is introduced to solve normal equations....

PDF: citeseerx.ist.psu.edu