We present a new and versatile method for the exact computation of the number of zeros of a real polynomial inside the unit disk. Our technique is based on a determinant representation.
โฆ LIBER โฆ
The exact computation of the number of zeros of a real polynomial in the open unit disk: An algebraic approach
โ Scribed by B. Gleyse; M. Moflih
- Book ID
- 108459960
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 244 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Exact computation of the number of zeros
โ
B. Gleyse; M. Moflih
๐
Article
๐
1999
๐
Elsevier Science
๐
English
โ 309 KB
Algebraic computation of the number of z
โ
B. Gleyse; A. Larabi; M. Moflih
๐
Article
๐
2011
๐
Elsevier Science
๐
English
โ 224 KB
We present a general method for the exact computation of the number of zeros of a complex polynomial inside the unit disk, assuming that the polynomial does not vanish on the unit circle. We prove the existence of a polynomial sequence. This sequence involves a reduced number of arithmetic operation
Sturm sequences and the number of zeros
Sturm sequences and the number of zeros of a real polynomial in the unit disk: Numerical computation
โ
B. Gleyse
๐
Article
๐
1997
๐
Elsevier Science
๐
English
โ 229 KB
Numerical computation of the number of z
โ
B. Gleyse; A. Larabi
๐
Article
๐
2011
๐
Elsevier Science
๐
English
โ 195 KB
We present a general and efficient numerical method with low computational complexity for computing the number of zeros of a real polynomial in the unit disk.
The Number of Real Zeros of a Class of R
โ
Dunnage, J. E. A.
๐
Article
๐
1968
๐
Oxford University Press
๐
English
โ 413 KB
The Number of Real Zeros of a Class of R
โ
Dunnage, J. E. A.
๐
Article
๐
1972
๐
Oxford University Press
๐
English
โ 197 KB