Polynomials: Factorable or Non-Factorable
β Scribed by Doyne Holder
- Book ID
- 118724933
- Publisher
- School Science and Mathematics Association
- Year
- 1962
- Tongue
- English
- Weight
- 164 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0036-6803
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The topic of the paper is spectral factorization of rectangular and possibly non-full-rank polynomial matrices. To each polynomial matrix we associate a matrix pencil by direct assignment of the coefficients. The associated matrix pencil has its finite generalized eigenvalues equal to the zeros of t
This paper gives an algorithm to factor a polynomial f (in one variable) over rings like Z /rZ for r β Z or F q [y]/rF q [y] for r β F q [y]. The Chinese Remainder Theorem reduces our problem to the case where r is a prime power. Then factorization is not unique, but if r does not divide the discrim