11. This is something like a cross between a classic 1D sparse matrix and classic 1D run-length encoding. 12. Sparse matrix methods are now widely used to solve very large systems of simultaneous equations whose coefficients are mostly zero.13. MRMC is a command-line tool written in the C programming language and based on a sparse matrix representation. 14. Fig 6 : Characteristic voltages and currents and switching states of the Sparse Matrix Converter during on-switching period. 15. Several variants of this approach based on sparse matrix techniques were studied by Barth " et al . ". 16. It does not compute a matrix decomposition, and hence it can be used when A is a very large sparse matrix . 17. Fig . 5 ( a ) shows the control of the power transistors in one bridge leg of the Sparse Matrix Converter. 18. In the case of a sparse matrix , substantial memory requirement reductions can be realized by storing only the non-zero entries. 19. Therefore, CGNR is particularly useful when " A " is a sparse matrix since these operations are usually extremely efficient. 20. Complexity O ( n ) to O ( 1 ), Knuth implemented a sparse matrix where only 1's are stored. 