Orthogonality of matrices Original Research Article

Let A and B be rectangular matrices. Then A is orthogonal to B if image short parallelA+μBshort parallelgreater-or-equal, slantedshort parallelAshort parallel foreveryscalar μ.Some approximation theory and convexity results on matrices are used to study orthogonality of matrices and answer an open problem of Bhatia and image emrl.