Characterization of the Orthogonal Decomposition of the Hilbert Space and Application
Huoyuan Duan · Journal of Mathematical Research and Exposition · 2002
This paper proposes a characterization of the orthogonal subspace of Hilbert space, where the orthogonal decomposition is derived from some continuous bilinear form. As an application, the solutions to saddle-point problems are decoupled, and as a result two coercive subproblems are obtained, which can be separately approximated.