Mitra, Sujit Kumar (1990) A pair of simultaneous linear matrix equations A1×B1=C1, A2×B2=C2 and a matrix programming problem Linear Algebra and its Applications, 131 . pp. 107-123. ISSN 0024-3795
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002437...
Related URL: http://dx.doi.org/10.1016/0024-3795(90)90377-O
Abstract
Necessary and sufficient conditions are obtained for a pair of matrix equations A1×B1=C1, A2×B2=C2 on a general field F to have a common solution, along with the expression for a general common solution when certain conditions hold. Common solutions of minimum rank are described. A matrix programming problem is solved en route.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 31923 |
| Deposited On: | 30 Mar 2011 12:59 |
| Last Modified: | 30 Mar 2011 12:59 |
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