On Extremal Ranks and Least Squares Solutions Subject to a Rank Restriction

Hongxing Wang and Yeguo Sun

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/457298

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:457298

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