Lecture 1: CRT, Interpolation, and Modular Algorithms

Date: Mar. 29

Background Material and Further Resources

• Algorithms for polynomial arithmetic. Modular algorithms.

Reading

• Sec. 5.6-8 of the text.

Topics

1. Review of the CRT and modular algorithms
2. Modular algorithm for univariate polynomial multiplication
3. Interpolation
4. Modular algorithm for multivariate polynomial multiplication

Programs

1. Modular algorithms worksheet modular.mws
2. Relevent SACLIB algorithms MIDCRA, IPCRA, MPINT

Assignment

• Read article on p-adic algorithm for finding rational zeros.