Abstract: A matrix data system enabling efficient function computation on source vector data by an array of matrix data servers is disclosed. Descriptive vectors, that describe partial function solutions on underlying source vector data, are computed and stored by the array of matrix data servers and utilized to efficiently compute function solutions. An array of matrix data servers can operate as a single entity, with function computation distributed across the servers in the array. The system can cache computed descriptive vectors, only pulling source vector data as necessary. The system can produce solutions in matrix, tabular, vector or graphical form. In addition to computing solutions, the system can trigger processing on data events, such as when a function or value relating to source vector data changes or goes out of a bounded range. The system is also capable predicting future events based on historical data.