On Extremal Ranks and Least Squares Solutions Subject to a Rank Restriction
We discuss the feasible interval of the parameter k and a general expression of matrix X which satisfies the rank equation r(A-BXC)=k. With these results, we study two problems under the rank constraint r(A-BXC)=k. The first one is to determine the maximal and minimal ranks under the rank constraint...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/457298 |
| Summary: | We discuss the feasible interval of the parameter k and a general expression of matrix X which satisfies the rank equation r(A-BXC)=k. With these results, we study two problems under the rank constraint r(A-BXC)=k. The first one is to determine the maximal and minimal ranks under the rank constraint r(A-BXC)=k. The second one is to derive the least squares solutions of ∥BXC-A∥F=min under the rank constraint r(A-BXC)=k. |
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| ISSN: | 1085-3375 1687-0409 |