paper, we propose a way to construct sufficient descent directions for unconstrained
optimization. We then apply the technique to derive a PSB (Powell-Symmetric-Broyden)
based method. The PSB based method locally reduces to the standard PSB method with
unit steplength. Under appropriate conditions, we show that the PSB based method with
Armijo line search or Wolfe line search is globally and superlinearly convergent for uniformly …