Shorted operators and rank decomposition matrices
The author gives results related to the equation \(r(S)+r(A-S)=r(A)\), where r is the rank and A, S are \(n\times n\) matrices. He derives a formula for S with given row and column space and if it exists, relates it to a rank minimization problem and to Schur complements.
scientific article; zbMATH DE number 3961844