On formulae for the Moore–Penrose inverse of a columnwise partitioned matrix

作者：

Highlights：

• Derivation of several original representations for the Moore–Penrose inverse of particular columnwise partitioned matrices, with emphasis on those matrices which are of applicable value.

• Introduction of an algorithm to calculate the Moore–Penrose inverse of columnwise partitioned matrices, along with an example demonstrating its execution.

• Formulation of a number of original facts concerned with the Moore–Penrose inverse of columnwise partitioned matrices.

摘要

•Derivation of several original representations for the Moore–Penrose inverse of particular columnwise partitioned matrices, with emphasis on those matrices which are of applicable value.•Introduction of an algorithm to calculate the Moore–Penrose inverse of columnwise partitioned matrices, along with an example demonstrating its execution.•Formulation of a number of original facts concerned with the Moore–Penrose inverse of columnwise partitioned matrices.

论文关键词：Generalized inverse,Disjoint range,Projector

论文评审过程：Received 29 May 2020, Revised 16 November 2020, Accepted 19 December 2020, Available online 26 March 2021, Version of Record 26 March 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125913