Structural index reduction algorithms for differential algebraic   equations via fixed-point iteration
  Motivated by Pryce's structural index reduction method for differential algebraic equations (DAEs), we show the complexity of the fixed-point iteration algorithm and propose a fixed-point iteration method with parameters. It leads to a block fixed-point iteration method which can be applied to large-scale DAEs with block upper triangular structure. Moreover, its complexity analysis is also given in this paper. 
Juan Tang, Wenyuan Wu, Xiaolin Qin, Yong Feng
cs.NA math.NA