A New Algorithm for Multiplication and Inverse of a Class of Lower Triangular Matrices and Its Application

We propose a method to search the inverse matrix for a type of special multiplied triangular matrix quickly. The proposed method can be used for the decomposition of Diagonal matrix, Lower triangular matrix and Upper triangular matrix (LDU) of a square matrix, and can effectively reduce the complexity of calculation and improve the operation efficiency. The simulation results verify the convenience and effectiveness of the proposed algorithm.