A new modified Barzilai–Borwein gradient method for solving the strictly convex quadratic minimization problem is proposed by properly changing the Barzilai–Borwein stepsize such that some certain multi-step quasi-Newton condition is satisfied. The global convergence is analyzed. Numerical experiments show that the new method can outperform some known gradient methods.
['Yutao Zheng', 'Bing Zheng']
A New Modified Barzilai–Borwein Gradient Method for the Quadratic Minimization Problem