It gives necessary and sufficient condition whether a circular matrix is inverse,and shows the expression of S(X)=AXe⊕b in GF(2n) has at least three terms if matrix A is chosen to be an inverse circular matrix in GF(2) which is not identity matrix.

According to M-matrix which possessed zero-pattern of fixed power, review some definitions and basic properties of digraphs,derive importance properties of circulant inverse M-matrix.

FPGA implementation of configurable matrix inversion based on Cholesky decomposition

A circuit structure with systolic array is introduced in this paper in order to accelerate the speed of matrix inversion,which is quite prone to implement.

The algorithm unique capability of estimating fast time-varying and frequency-selective fading channels,and the simplicity of its least square(LS) algorithm free of matrix inversion,so as to greatly decrease the complexity.

This Paper presents a kind of matrix inverse arithmetic suitable for ASIC implementation,which could process 1～16 dimension lower triangular complex matrix,and is coded by Verilog HDL.

Furthermore, in order to improve the condition of matrix inverse of DMC and its stability, a penalty factor is applied to Δu(t) of DMC, it is concluded that its robustness is no less than that of the origi.