Symmetry property of Jacobian matrix of mine ventilation network and its parallel calculation model

A parallel calculation and symmetry property of the Jacobian matrix deduced from a ventilation network is a- dopted in this study to enhance the reliability and the performance of software on calculating Coalmine’ s ventilation network. The theory of solving Coalmine’s ventilation network by using Newtown method is presented in some details, and then the symmetry characteristic of the Jacobian matrix of a ventilation network is illustrated. A LDLT decomposi- tion method is put forward to solve the corrected value of flow rate in a circuit,which can save a lot of time during each iteration. To take the most advantages of a multi-CPU computer,a parallel model is employed to solve the Jacobian ma- trix and the equations of corrected values in circuits of a ventilation network. This parallel model is achieved using the technology of multi-threads in VC language,whose validity and performance are verified by running it in two ventilation network samples.