The present article includes a proposal for a national accounts algorithm to be applied in the computerization of the national accounts compilation process. While aiming at the estimation and reconciliation of data from different statistical sources, it is based on the application of a linear programming technique applied to a system of identities and inequalities that define the accounting and analytical relations between the data categories of a national accounting framework. The technique is flexible in the sense that it can be used with any configuration of available statistical sources and data requirements of the national accounts. The algorithm is illustrated graphically with help of a simple example and thereafter applied to an extended but still simple national accounting scheme for Suriname with data for 1965 that was compiled by the author many years ago. As the present study is only a first step in the development of the algorithm, more work is needed to make it operational and the last section of the article includes suggestions about the direction of that further work.