On polynomial EPr matrices
This paper gives a characterization of EPr-λ-matrices. Necessary and sufficient conditions are determined for (i) the Moore-Penrose inverse of an EPr-λ-matrix to be an EPr-λ-matrix and (ii) Moore-Penrose inverse of the product of EPr-λ-matrices to be an EPr-λ-matrix. Further, a condition for the gen...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000334 |
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| _version_ | 1832549331077431296 |
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| author | Ar. Meenakshi N. Anandam |
| author_facet | Ar. Meenakshi N. Anandam |
| author_sort | Ar. Meenakshi |
| collection | DOAJ |
| description | This paper gives a characterization of EPr-λ-matrices. Necessary and sufficient conditions are determined for (i) the Moore-Penrose inverse of an EPr-λ-matrix to be an EPr-λ-matrix and (ii) Moore-Penrose inverse of the product of EPr-λ-matrices to be an EPr-λ-matrix. Further, a condition for the generalized inverse of the product of λ-matrices to be a λ-matrix is determined. |
| format | Article |
| id | doaj-art-c7580aa879284a05b536c300f19d9bd0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c7580aa879284a05b536c300f19d9bd02025-02-03T06:11:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115226126610.1155/S0161171292000334On polynomial EPr matricesAr. Meenakshi0N. Anandam1Department of Mathematics, Annamalai University, Annamalainagar 608 002, Tamil Nadu, IndiaDepartment of Mathematics, Annamalai University, Annamalainagar 608 002, Tamil Nadu, IndiaThis paper gives a characterization of EPr-λ-matrices. Necessary and sufficient conditions are determined for (i) the Moore-Penrose inverse of an EPr-λ-matrix to be an EPr-λ-matrix and (ii) Moore-Penrose inverse of the product of EPr-λ-matrices to be an EPr-λ-matrix. Further, a condition for the generalized inverse of the product of λ-matrices to be a λ-matrix is determined.http://dx.doi.org/10.1155/S0161171292000334EPr-λ-matricesgeneralized inverse of a matrix. |
| spellingShingle | Ar. Meenakshi N. Anandam On polynomial EPr matrices International Journal of Mathematics and Mathematical Sciences EPr-λ-matrices generalized inverse of a matrix. |
| title | On polynomial EPr matrices |
| title_full | On polynomial EPr matrices |
| title_fullStr | On polynomial EPr matrices |
| title_full_unstemmed | On polynomial EPr matrices |
| title_short | On polynomial EPr matrices |
| title_sort | on polynomial epr matrices |
| topic | EPr-λ-matrices generalized inverse of a matrix. |
| url | http://dx.doi.org/10.1155/S0161171292000334 |
| work_keys_str_mv | AT armeenakshi onpolynomialeprmatrices AT nanandam onpolynomialeprmatrices |