Analytical Solution of Linear Intersection Based on Jacobi Algorithm and its Comparison with Least Squares Solution

Abstract:

The paper introduces the Jacobi algorithm, and the Jacobi algorithm solution of linear intersection. A numerical cased is illustrated to validate the approach. The result shows the Jacobi algorithm solution is approximately equal to least squares (LS) solution, and needs no initial parameter value, and iteration. Thus, it is very important for the nonlinear adjustment, epically for the case that initial parameter value is unknown and hard to be obtained.

• Periodical: Applied Mechanics and Materials (Volumes 353-356)
• Pages: 3452-3455
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.353-356.3452
• Online since: August 2013
• Authors: Huai En Zeng*
• Keywords: Analytical Solution, Jacobi Algorithm, Least Square (LS), Linear Intersection

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