The Applications Of Matrix Theory In Geostar Location System

Faced with increasingly volatile international situation, establishment of independent control of the satellite navigation system, related to a combination of navigation and positioning study on China's defense strategy has very important significance. The main content of this paper is to use linear least squares method Geostar/Loran-C combination navigation and positioning system solution optimization. The Beidou / Loran-C integrated positioning system positioning is essentially a linear least squares problem, but solving linear least squares problem commonly used methods are: regularization method, classical iterative method and orthogonal method. The regularization method calculating its easy to use a small amount has been widely applied, however, there are also its own inherent defects: Solution of precision and stability depend on objectives of forklift plot matrix condition number matrix the size of the square. The orthogonal invariance on the matrix is further concerned. An improved algorithm for the Geostar / Loran-C integrated navigation location system is presented based on the modified Householdor method.Specific content of this method are as follows. First, presents the basic ideas of Householder method, mainly uses Householder transform gradually into the coefficient matrix about triangular matrix. Secondly, in order to avoid a separate matrix for Householder, the paper uses the recursive algorithm Householder, provides a set of ideas. This paper presents based on the QR decomposition of Householder recursive algorithm. Finally, using a numerical example was verified, results show that the algorithm to some extent the regularization method to overcome the inherent shortcomings and improve the accuracy of understanding. This method is also applicable to other linear positioning issues, such as GPS positioning.