Separating iterative solution model of generalized nonlinear dynamic least squares for data processing in building of digital earth
(Institute of Geo-science and Technology,
Shandong University of Science and Technology, Tai＇an 271019, China)
Shandong University of Science and Technology, Tai＇an 271019, China)
Abstract: Data coming from different sources have different types and temporal states. Relations between one type of data and another ones, or between data and unknown parameters are almost nonlinear. It is not accurate and reliable to process the data in building the digital earth with the classical least squares method or the method of the common nonlinear least squares. So a generalized nonlinear dynamic least squares method was put forward to process data in building the digital earth. A separating solution model and the iterative calculation method were used to solve the generalized nonlinear dynamic least squares problem. In fact, a complex problem can be separated and then solved by converting to two sub-problems, each of which has a single variable. Therefore the dimension of unknown parameters can be reduced to its half, which simplifies the original high dimensional equations.
Key words: method for generalized nonlinear least squares; separating solution; iterative algorithm