摘要
本文证明了广义逆矩阵张量积的一些性质,介绍了它在解线性方程组方面的应用。
Abstract In this paper, the following main results are obtained Theorem 1. ( AB) +=A +B + Theorem 2. Linear system of equation (AB )ξ=η has solution if and only if ( AA +BB +) η=η. Theorem 3. Suppose the sigular values of A are δ j(j=1,…,m 2), the singular values of B are τ k(k=1,…,n 2), then the singular values of AB are δ jτ k (j=1,…,m 2;k=1,…,n 2).
出处
《工科数学》
1999年第1期84-88,共5页
Journal of Mathematics For Technology