| Mickens, R.E., Difference Equations Second Edition, Van Nostrand Reinhold Library of Congress Card Number 90-34385, 1990. |
.... 200) u= u 4 v 1 v=u v 1 a(u,v) a(u,v) b(u 1,v) endwhile 3 The reason is that the two induction variables, u and v form two coupled difference equations. In the example (1) the geometric bases of u and v are determinated by the homogeneous solution of a system of difference equations [13]. The remainder of this paper is organized as follows. Section 2 describes the related work and section 3 proposes a method to structure programs based on the hammock transformations. In section 4, a while loop is converted into a do loop and the number of iterations is found. The method is ....
Mickens, R.E., Difference Equations Second Edition, Van Nostrand Reinhold Library of Congress Card Number 90-34385, 1990.
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