Direct methods of solving systems of linear algebraic ef ions with complex a-matrices

QTBiCGSTAB Algorithm for Large Linear Systemand Parallelized

“…From equations (9,10,11), the target division length d would be effect on MQT b , and then would be influnced the efficiency of the QTBiCGSTAB algorithm. Suppose d =1, the MQT xi and MQT x would be as equation (7,8), MQT b would be as equation (13).…”

“…From equation (7,9), the non-zeroes distribution of the matrix would be effect on MQT x (18,19,20,21).…”

“…Many scientific application, such as numerical simulation of computational fluid dynamics(CFD) [1][2][3][4] and simultaneous localization in robotics [5][6][7][8], etc., need to solve large and complicated linear equations, that is difficult to be solved with direct methods [9,10] which need more memory to solve. Now there are some iterative methods proposed [11][12][13][14], which need less memory, solve large and complicated linear equations more efficiently.…”