Structure and convergence of conventional Jacobi-type methods minimizing the off-norm function

摘要

Conventional Jacobi-type methods for the diagonalization of real symmetric matrices can be seen as achieving the optimization of the off-norm function on a homogeneous space. The critical point structure of this function is studied in detail. Conventional Jacobi-type algorithms are rederived, and their convergence properties are studied using the tools of global analysis.