## Schur Decomposition of Real Symmetric Matrix Using the SVD of its Off-Diagonal Submatrices

This is one of the problems I think summarizes most of my efforts in my studies of a first course in Matrix Analysis and Computations. I hope this is useful for someone who needs any hint on a similar problem. Problem Let \(\mathbf{A}\) be a real (possibly non-square) matrix. Let $$ \mathbf{B} = \begin{pmatrix} \mathbf{0} […]