Definition: The specification of a sequence of values in terms of earlier values in the sequence and base values.
Also known as recurrence equations.
See also Master theorem.
Note: Fibonacci numbers may be described by the recurrence relation F(n) = F(n-1) + F(n-2), where F(1)=1 and F(2)=1. Execution times are often computed by setting up, then solving, a unary recurrence relation, such as T(n) = 2T(n/4) + 2.
From Algorithms and Theory of Computation Handbook, page 1-26, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 17 December 2004.
HTML page formatted Fri Feb 23 10:06:08 2018.
Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "recurrence relation", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/recurrence.html