Differences between revisions 1 and 5 (spanning 4 versions)
 ⇤ ← Revision 1 as of 2007-02-14 04:38:31 → Size: 137 Editor: c24-143-69-86 Comment: ← Revision 5 as of 2007-02-19 19:01:27 → ⇥ Size: 982 Editor: dhcp46-71 Comment: Deletions are marked like this. Additions are marked like this. Line 3: Line 3: Pippenger's Algorithm is a method to compute a sequence of multiple products of multiple inputs. I intend to use this to (drastically, in some cases) speed up the evaluation of multivariate polynomials over arbitrary rings. Line 4: Line 6: [http://sage.math.washington.edu/sprint/pippenger.sws Worksheet] with my progress so far.Skip to page 13. I've already implemented: * Direct computation (option 1 in the paper) * Input partitioning (option 2) * Most of input clumping (option 3)I need: * Output partitioning (option 4) * Output clumping (excercise left to reader) * Some insight as to why DJB thinks that one can "quickly compute the parameter sequence given ''p, q''. I'll bring a print copy of the 3 cites from Pippenger [34-36]. * The general case (not certain this is a reasonable goal for the amount of time we have)

Tom Boothby: Implement Pippenger's Algorithm for multivariate polynomial evaluation

Pippenger's Algorithm is a method to compute a sequence of multiple products of multiple inputs. I intend to use this to (drastically, in some cases) speed up the evaluation of multivariate polynomials over arbitrary rings.

[http://sage.math.washington.edu/sprint/pippenger.sws Worksheet] with my progress so far.

Skip to page 13. I've already implemented:

• Direct computation (option 1 in the paper)
• Input partitioning (option 2)
• Most of input clumping (option 3)

I need:

• Output partitioning (option 4)
• Output clumping (excercise left to reader)
• Some insight as to why DJB thinks that one can "quickly compute the parameter sequence given p, q. I'll bring a print copy of the 3 cites from Pippenger [34-36].

• The general case (not certain this is a reasonable goal for the amount of time we have)

days3/sprints/pippenger (last edited 2008-11-14 13:41:56 by localhost)