AN IMPROVEMENT OF EUCLID'S ALGORITHM

被引:0
|
作者
Zitko, Jan [1 ]
Kuratko, Jan [1 ]
机构
[1] Matemat Fyzikalni Fak UK Praze, Katedra Numericke Matemat, Sokolovska 83, Prague 18675 8, Czech Republic
关键词
POLYNOMIALS;
D O I
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper introduces the calculation of a greatest common divisor of two univariate polynomials. Euclid's algorithm can be easily simulated by the reduction of the Sylvester matrix to an upper triangular form. This is performed by using c-s transformation and QR-factorization methods. Both procedures are described and numerically compared. Computations are performed in the floating point environment.
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页码:251 / 260
页数:10
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