Abstract We consider the convergence behavior using relaxed Peaceman–Rachford splitting method to solve monotone inclusion problem $$0 \in (A + B)(u)$$ 0 ∈ ( A + B ) u ...

When a physical system is modeled by nonlinear function, the unknown parameters can be estimated fitting experimental observations least-squares approach. Newton's method and its variants are often used to solve problems of this type. In paper, we concerned with computation minimal-norm solution an underdetermined problem. We present Gauss-Newton type method, which relies on two relaxation ensu...