On Nonnegative Moore-Penrose Inverses of Perturbed Matrices
Nonnegativity of the Moore-Penrose inverse of a perturbation of the form is considered when . Using a generalized version of the Sherman-Morrison-Woodbury formula, conditions for to be nonnegative are derived. Applications of the results are presented briefly. Iterative versions of the results are...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/680975 |
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| _version_ | 1849407737077694464 |
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| author | Shani Jose K. C. Sivakumar |
| author_facet | Shani Jose K. C. Sivakumar |
| author_sort | Shani Jose |
| collection | DOAJ |
| description | Nonnegativity of the Moore-Penrose inverse of a perturbation of the form is considered when . Using a generalized version of the Sherman-Morrison-Woodbury formula, conditions for to be nonnegative are derived. Applications of the results are presented briefly. Iterative versions of the results are also studied. |
| format | Article |
| id | doaj-art-47b7cd6bf8d6478f8bab8ff9b4f6e29a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-47b7cd6bf8d6478f8bab8ff9b4f6e29a2025-08-20T03:35:58ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/680975680975On Nonnegative Moore-Penrose Inverses of Perturbed MatricesShani Jose0K. C. Sivakumar1Department of Mathematics, Indian Institute of Technology Madras, Chennai, Tamil Nadu 600036, IndiaDepartment of Mathematics, Indian Institute of Technology Madras, Chennai, Tamil Nadu 600036, IndiaNonnegativity of the Moore-Penrose inverse of a perturbation of the form is considered when . Using a generalized version of the Sherman-Morrison-Woodbury formula, conditions for to be nonnegative are derived. Applications of the results are presented briefly. Iterative versions of the results are also studied.http://dx.doi.org/10.1155/2013/680975 |
| spellingShingle | Shani Jose K. C. Sivakumar On Nonnegative Moore-Penrose Inverses of Perturbed Matrices Journal of Applied Mathematics |
| title | On Nonnegative Moore-Penrose Inverses of Perturbed Matrices |
| title_full | On Nonnegative Moore-Penrose Inverses of Perturbed Matrices |
| title_fullStr | On Nonnegative Moore-Penrose Inverses of Perturbed Matrices |
| title_full_unstemmed | On Nonnegative Moore-Penrose Inverses of Perturbed Matrices |
| title_short | On Nonnegative Moore-Penrose Inverses of Perturbed Matrices |
| title_sort | on nonnegative moore penrose inverses of perturbed matrices |
| url | http://dx.doi.org/10.1155/2013/680975 |
| work_keys_str_mv | AT shanijose onnonnegativemoorepenroseinversesofperturbedmatrices AT kcsivakumar onnonnegativemoorepenroseinversesofperturbedmatrices |