Almost all of the existing results on the explicit solutions of the matrix equationAX-XB= C are obtained under the condition that A and B have no eigenvalues incommon For both symmetric or skewsymmetric matrices A and...Almost all of the existing results on the explicit solutions of the matrix equationAX-XB= C are obtained under the condition that A and B have no eigenvalues incommon For both symmetric or skewsymmetric matrices A and B. we shall give outthe explicit general solutions of this equation by using the notions of eigenprojectionsThe results we obtained are applicable not only to any cases of eigenvalues regardlessof their multiplicities but also to the discussion of the general case of this equation展开更多
文摘Almost all of the existing results on the explicit solutions of the matrix equationAX-XB= C are obtained under the condition that A and B have no eigenvalues incommon For both symmetric or skewsymmetric matrices A and B. we shall give outthe explicit general solutions of this equation by using the notions of eigenprojectionsThe results we obtained are applicable not only to any cases of eigenvalues regardlessof their multiplicities but also to the discussion of the general case of this equation
基金the National Natural Science Foundation of China(Grant No:11971478)the MOE Project of Key Research Institute of Humanities and Social Sciences at Universities(Grant No:16JJD910002)。
