Abstract:In recent years, the algorithm of Drazin inverse solution for singular linear systems has caused wide concern by many scholars, and many research results that depend on the Krylov subspace are obtained. However, the Krylov subspace method is very cumbersome and it is very difficult to solve the singular linear incompatible system. Based on this, in this paper, the DQMR algorithm for Drazin inverse solution of compatible or non-compatible singular linear systems Ax=b is given by using projection method, where A∈?n×n is a singular Hermitian matrix with arbitrary index. The DQMR algorithm of singular systems is “similar” to the QMR algorithm of non-singular systems.
邓 勇. 奇异线性系统Drazin逆解的DQMR算法[J]. 华中师范大学学报(自然科学版), 2019, 53(4): 469-473.
DENG Yong. The DQMR algorithm for Drazin inverse solution of singular linear systems. journal1, 2019, 53(4): 469-473.