Abstract：A novel generalized conjugate gradient algorithm for seismic trace inversion,which is based on classical conjugate gradient algorithm,has been put forward so as to improve the stability of seismic trace inversion,and to reduce inversion computation and internal storage needed in computer. The algorithm brings high accuracy,fast operation and good ability of countering ill condition. In addition,by analysing sensitivity matrix according to real seismic trace inversion,a new recursion algorithm which needs no sensitivity matrix is developed to greatly save computer's internal storage. In the new algorithm,sensitivity matrix operation can be converted into convolution and correlation operations to make whole recursion to be finished by vector operation,which thus speeds recursion operation greatly.
