日本応用数理学会論文誌
Online ISSN : 2424-0982
ISSN-L : 0917-2246
浮動小数点演算による4次方程式の解法(Brown法)
布広 永示平野 菅保
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2003 年 13 巻 2 号 p. 159-179

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When solving 4th order equation by floating decimal point operation, there is Ferrari method famous as a solution method of 4th order equation. In this paper, we apply Brown method that transform 4th order equation into the product of two 2nd order equations directly to floating point operation and propose the effective computation method. And from the relation of coefficient and solution of 4th order equation, we express coefficients and all numerical values in the middle calculation with four solutions, and by analyzing the information on the solutions contained in those coefficients, we show the validity of the Brown method.
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© 2003 一般社団法人 日本応用数理学会
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