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Zeros of univariate interval polynomials
- Source :
-
Journal of Computational & Applied Mathematics . Jul2008, Vol. 216 Issue 2, p563-573. 11p. - Publication Year :
- 2008
-
Abstract
- Abstract: Polynomials with perturbed coefficients, which can be regarded as interval polynomials, are very common in the area of scientific computing due to floating point operations in a computer environment. In this paper, the zeros of interval polynomials are investigated. We show that, for a degree n interval polynomial, the number of interval zeros is at most n and the number of complex block zeros is exactly n if multiplicities are counted. The boundaries of complex block zeros on a complex plane are analyzed. Numeric algorithms to bound interval zeros and complex block zeros are presented. [Copyright &y& Elsevier]
- Subjects :
- *POLYNOMIALS
*ALGORITHMS
*APPROXIMATION theory
*MULTIPLICITY (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 216
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 31752239
- Full Text :
- https://doi.org/10.1016/j.cam.2007.06.007