# A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations

@article{Xu1992ANA, title={A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations}, author={Zongben Xu and G. F. Roach}, journal={Journal of Mathematical Analysis and Applications}, year={1992}, volume={167}, pages={340-354} }

Abstract A necessary and sufficient condition is established which ensures the strong convergence of the steepest descent approximation to a solution of equations involving quasi-accretive operators defined on a uniformly smooth Banach space.

#### 52 Citations

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