A convergence proof is given for the continuous analog of the Newton method for linear semi-positive definite operator equations and convergence rates are obtained.

Based on internal algorithm, a generalized variable metric projection internal algorithm for nonlinear programming with linear constraints and the convergence proof are given.

This act would be my pièce de résistance, the existential proof that love was the answer, the convergence of art, romance and technology that would make everything beautiful.