摘要
借助于矩阵的奇异值分解及矩阵的广义逆,给出了矩阵方程ATX=BT,XC=F有双对称非负定解的充分必要条件,并在有解的情况下,给出了通解的显式表示。
A necessary and sufficient condition for matrix equations ATX=BT,XC=F having bisymmetric nonnegative solution is obtained by using SVD and generalized inverses of matrices,and the explicit representation of general solutions is given.
出处
《华东船舶工业学院学报》
2003年第4期5-8,共4页
Journal of East China Shipbuilding Institute(Natural Science Edition)
关键词
矩阵方程
双对称非负定矩阵
matrix equation
bisymmetric nonnegative definite matrix
