Some Useful Bounds

作者: M. Mignotte

DOI: 10.1007/978-3-7091-7551-4_16

关键词:

摘要: Some fundamental inequalities for the following values are listed: determinant of a matrix, absolute value roots polynomial, coefficients divisors polynomials, and minimal distance between polynomial. These useful analysis algorithms in various areas computer algebra.

参考文章(4)
W. W. Rogosinski, M. Marden, The Geometry of the Zeros of a Polynomial in a Complex Variable The Mathematical Gazette. ,vol. 34, pp. 158- ,(1950) , 10.2307/3608705
K. Mahler, An inequality for the discriminant of a polynomial. Michigan Mathematical Journal. ,vol. 11, pp. 257- 262 ,(1964) , 10.1307/MMJ/1028999140
Maurice Mignotte, Some inequalities about univariate polynomials Proceedings of the fourth ACM symposium on Symbolic and algebraic computation - SYMSAC '81. pp. 195- 199 ,(1981) , 10.1145/800206.806395
R. Güting, Polynomials with multiple zeros Mathematika. ,vol. 14, pp. 181- 196 ,(1967) , 10.1112/S002557930000379X