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A shift-add algorithm for generating B-spline

Gu F.

Computer Assisted Methods in Engineering and Science

2013

Vol. 20, no. 4

271--278

A CORDIC- based shift-add algorithm for generating B-spline curves is presented in this paper. This algorithm can be realized by hardware without multiplier, or coded with assembly language and run inthe basic computing system which exists in many application systems. Convergence of the algorithm was proved. Errors were estimated and well controlled in the algorithm. A numerical experiment was carrierout to validate algorithm. This algorithm can be used for adding complex curve plotting functions in embedded systems.

Strong and weak convergence of implicit iterative process with errors for asymptotically nonexpansive mappings

Gu F.

Journal of Applied Analysis

2006

Vol. 12, nr 2

267-282

The purpose of this paper is to study the weak and strong convergence of an new implicit iteration process to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve important known results in [1], [2], [4]-[9], [11]-[15] and others.