1. Like LLE, Hessian LLE is also based on sparse matrix techniques. 2. This data structure would inspire the sparse matrix data structure for the Twin spreadsheet. 3. The matrix-oriented approach allows for greater computational efficiency by enabling sparse matrix operations. 4. The ( old and new ) Yale sparse matrix formats are instances of the CSR scheme. 5. Its matrix operations are supported by an efficient sparse matrix solver called " mtx ". 6. Preconditioning techniques for large sparse matrix problems in industrial applications ( Minneapolis, MN, 1999 ). 7. The CSR format stores a sparse matrix in row form using three ( one-dimensional ) arrays. 8. The biggest disadvantage is that it fails to take advantage of coefficient matrix to be a sparse matrix . 9. For a typical sparse matrix , the LU factors can be much less sparse than the original matrix. 10. Also, in mathematics, the presentation of a sparse matrix has been a topic for many decades.