泉州师范学院学报
泉州師範學院學報
천주사범학원학보
JOURNAL OF QUANZHOU NORMAL COLLGEG
2014年
2期
60-63
,共4页
加权广义逆%广义 Schur 补%极大(小)秩%反序律
加權廣義逆%廣義 Schur 補%極大(小)秩%反序律
가권엄의역%엄의 Schur 보%겁대(소)질%반서률
weighted generalized inverse%generalized Schur complement%maximal and minimal rank%reverse-order law
矩阵乘积的加权广义逆在理论研究与数值计算等方面有许多重要应用而引起人们的关注。文章利用广义 Schur 补的极大(小)秩的表示式,获得了二矩阵乘积的{1,2,3M}-逆反序律成立的一个新刻划,从而丰富与完善了加权广义逆反序律的相关结果。
矩陣乘積的加權廣義逆在理論研究與數值計算等方麵有許多重要應用而引起人們的關註。文章利用廣義 Schur 補的極大(小)秩的錶示式,穫得瞭二矩陣乘積的{1,2,3M}-逆反序律成立的一箇新刻劃,從而豐富與完善瞭加權廣義逆反序律的相關結果。
구진승적적가권엄의역재이론연구여수치계산등방면유허다중요응용이인기인문적관주。문장이용엄의 Schur 보적겁대(소)질적표시식,획득료이구진승적적{1,2,3M}-역반서률성립적일개신각화,종이봉부여완선료가권엄의역반서률적상관결과。
The weighted generalized inverse of a matrix product has several important applications in the aspects of theoretical research and numerical computations and therefore they have attracted considerable attention by many authors.In this paper,by using the expressions of maximal and minimal ranks of genera- lized Schur complements,we get a new equivalent condition of the reverse-order laws for {(1,2,3M}-inverse of a two matrix product,so as to enrich and improve the characters of reverse-order laws for the weighted generalized inverse.
