Expressions and characterizations for the moore-penrose inverse of operators and matrices
Under certain conditions, we prove that the Moore—Penrose inverse of a sum of operators is the sum of the Moore—Penrose inverses. From this, we derive expressions and characterizations for the Moore—Penrose inverse of an operator that are useful for its computation. We give formulations of them for...
| Author: | |
|---|---|
| Format: | article |
| Status: | Published version |
| Publication Date: | 2023 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/227470 |
| Online Access: | http://hdl.handle.net/11336/227470 |
| Access Level: | Open access |
| Keyword: | MOORE-PENROSE INVERSE CIRCULANT MATRIX DISTANCE MATRIX GRAPH https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | Under certain conditions, we prove that the Moore—Penrose inverse of a sum of operators is the sum of the Moore—Penrose inverses. From this, we derive expressions and characterizations for the Moore—Penrose inverse of an operator that are useful for its computation. We give formulations of them for finite matrices and study the Moore—Penrose inverse of circulant matrices and of distance matrices of certain graphs. |
|---|