发表刊物：Applied Numerical Mathematics
关键字：continuation method; preconditioned technique; trust-region method; linear conservation
摘要：This paper considers the regularization continuation method and the trust-region updating strategy. Numerical results also show that the new method is more robust and faster than the traditional optimization method such as the alternating direction method of multipliers (ADMM), the sequential quadratic programming (SQP) method (the built-in subroutine fmincon.m of the MATLAB2020a environment), and the recent continuation method (Ptctr). The computational time of the new method is about 1/3 of that of SQP (fmincon.m). Finally, the global convergence analysis of the new method is also given.