منابع مشابه
Least – Squares Method For Estimating Diffusion Coefficient
Abstract: Determination of the diffusion coefficient on the base of solution of a linear inverse problem of the parameter estimation using the Least-square method is presented in this research. For this propose a set of temperature measurements at a single sensor location inside the heat conducting body was considered. The corresponding direct problem was then solved by the application of the ...
متن کاملLEAST – SQUARES METHOD FOR ESTIMATING DIFFUSION COEFFICIENT
Determining the diffusion coefficient based on the solution of the linear inverse problem of the parameter estimation by using the Least-square method is presented. A set of temperature measurements at a single sensor location inside the heat conducting body is required. The corresponding direct problem will be solved by an application of the heat fundamental solution.
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This note calls attention to a variant formulation of the least-squares adjustment procedure [1] that should prove increasingly attractive as electronic dataprocessing equipment becomes ever more widely available. It indicates that the statistician need not concern himself with the two rituals featured in traditional textbook presentations—namely, the construction and solution of the convention...
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Gauss introduced a procedure for calculating least squares estimates and their precisions. Yule introduced a new system of notation adapted to correlation analysis. This paper describes these formalisms and compares them with the matrix and vector space formalisms used in modern regression analysis.
متن کاملLocal results for the Gauss-Newton method on constrained rank-deficient nonlinear least squares
A nonlinear least squares problem with nonlinear constraints may be ill posed or even rank-deficient in two ways. Considering the problem formulated as minx 1/2‖f2(x)‖2 subject to the constraints f1(x) = 0, the Jacobian J1 = ∂f1/∂x and/or the Jacobian J = ∂f/∂x, f = [f1; f2], may be ill conditioned at the solution. We analyze the important special case when J1 and/or J do not have full rank at ...
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ژورنال
عنوان ژورنال: Śląski Przegląd Statystyczny
سال: 2014
ISSN: 1644-6739,1644-6739
DOI: 10.15611/sps.2014.12.01