THE POSITIVE SEMIDEFINITE SOLUTION OF THE MATRIX EQUATION (ATXA, BTXB) = (C,D)
  • 万方数据
    高等学校计算数学学报（英文版） 고등학교계산수학학보（영문판）
    NUMERICAL MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES
    2004年 1期 72-80 ,共9页

    欧阳柏玉%佟文廷

    구양백옥%동문정



    positive semidefinite matrix%generalized singular value decomposition%matrix equation


    In this paper, we consider the positive semidefinite solution of the matrix equation (AT X A, BT X B) - (C, D). A necessary and sufficient condition for the existence of such solution is derived using the generalized singular value decomposition.The general forms of positive semidefinite solution are given.
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