The Moore-Penrose inverse for sums of matrices under rank additivity conditions

• Published in: Linear & multilinear algebra Vol. 53; no. 1; pp. 45 - 65
• Main Author: Tian, Yongge
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 01.01.2005
• Subjects: AMS Subject Classifications: 15A03; Moore-Penrose inverse; Rank additivity; Sum of matrices; Weighted Moore-Penrose inverse

Some results on the Moore-Penrose inverse for sums of matrices under rank additivity conditions are revisited and some new consequences are presented. Their extensions to the weighted Moore-Penrose inverse of sums of matrices under rank additivity conditions are also considered.