摘要
设A+和+的广义极分解分别是A+=QH与+=■■,其中H与■为n×m半正定因子,利用奇异值分解的方法、酉不变范数‖·‖和Frobenius范数‖·‖F,研究了Moore-Penrose广义逆矩阵A+在非保秩扰动下半正定极因子的扰动界.
Suppose the generalized polar decomposition of A ^+ and A^-+ are respectively A^+ = QH and A^-+ = QH^- and H and H are n × m semi-definite positive factors. By using singular-value decomposition, unitarily invariant norm || ·|| and Frobenius norm || ·|| r, the perturbation bound of semi-definite polar factors of Moore-Penrose generalized inverse matrix A ^+ under non-preserving rank perturbating is researched.
出处
《广东工业大学学报》
CAS
2009年第1期14-16,共3页
Journal of Guangdong University of Technology
关键词
广义逆矩阵A+
半正定极因子
奇异值分解
扰动界
generalized inverse matrix.A^+
semi-definite factor
singular-value decomposition
perturbation bound