A CANCELLATION PROPERTY OF THE MOORE–PENROSE INVERSE OF TRIPLE PRODUCTS
We study the matrix equation C(BXC)†B=X†, where X† denotes the Moore–Penrose inverse. We derive conditions for the consistency of the equation and express all its solutions using singular vectors of B and C. Applications to compliance matrices in molecular dynamics, to mixed reverse-order laws of ge...
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| Veröffentlicht in: | Journal of the Australian Mathematical Society (2001) 2009-02, Vol.86 (1), p.33-44 |
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| container_title | Journal of the Australian Mathematical Society (2001) |
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| creator | DAMM, TOBIAS WIMMER, HARALD K. |
| description | We study the matrix equation C(BXC)†B=X†, where X† denotes the Moore–Penrose inverse. We derive conditions for the consistency of the equation and express all its solutions using singular vectors of B and C. Applications to compliance matrices in molecular dynamics, to mixed reverse-order laws of generalized inverses and to weighted Moore–Penrose inverses are given. |
| doi_str_mv | 10.1017/S144678870800044X |
| format | Article |
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| identifier | ISSN: 1446-7887 |
| ispartof | Journal of the Australian Mathematical Society (2001), 2009-02, Vol.86 (1), p.33-44 |
| issn | 1446-7887 1446-8107 |
| language | eng |
| recordid | cdi_proquest_journals_2806558485 |
| source | Cambridge University Press Journals Complete |
| subjects | 15A90 compliance matrix Mathematical analysis matrix equations Molecular dynamics Moore–Penrose generalized inverse primary 15A09 reverse-order property secondary 15A24 Wedderburn–Guttman theorem weighted generalized inverse |
| title | A CANCELLATION PROPERTY OF THE MOORE–PENROSE INVERSE OF TRIPLE PRODUCTS |
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