recursive algorithms

In order to estimate the production function besides productivity and economic growth, the time series of capital stock is required. Time-series that available for capital stock is not so reliable because of Variations in suggested methods and also difficulty in the calculation of this variable. The continuously inventory method (CIM) has been more attention, among the existing methods. We improve CIM in this research. For estimating the capital stock we developed an algorithm and titled that “Programming or Recursive Algorithm”.The following can be noted in capabilities of the model that developed in this study. Unlike the previous studies we taking the variable depreciation rate of capital in different periods, considering the quality variable of war and its impact on the rate of depreciation, investigation of nonlinear and linear production function in order to increase estimation accuracy and considering energy as well as labor and capital input.The results show that compared to the time series reported by the Central Bank of Iran, the series calculated in this study are similar trend, but with some differences.The mean of depreciation rate has been calculated 5.1% for the period 2009 to 2010. The estimation results show that in war period we have always higher depreciation rate than average rate of depreciation in period of this study.