| 关于二元四次型正定问题的若干注记 |
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| 引用本文： | 陈宝兴. 关于二元四次型正定问题的若干注记[J]. 数学季刊, 2003, 18(1): 68-73 |
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| 作者姓名： | 陈宝兴 |
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| 作者单位： | DepartmentofMathemalics,ZhangzhouTeacher‘sCollege,Zhangzhou363000,China |
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| 摘 要： | § 1 . IntroductionInthestudyofdifferentialequationsandothermathematicalandphysicalfields,weoftenneedtodealwiththerootdistributionofanequationandthepositivedefinite,negativedefiniteproblemsofabinaryquarticformsee [2 ,3,4].Itiswellknownthatinthecaseofaquadraticform ,therearemanycriterionsforthepositivedefiniteandnegativeproblems.Forthecaseofabinaryquarticformthestudyonthepositivedefiniteproblemsisfarfromcompletelyunder standing .Thepaper[1]hasdonesomeworksonthisfield.Butitisapitythatthereares…
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| 关 键 词： | 正定问题 二元四次形式 多项式 根 |
Some Notes on the Positive Definite Problem of a Binary Quartic Form |
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| CHEN Bao-xing. Some Notes on the Positive Definite Problem of a Binary Quartic Form[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(1): 68-73 |
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| Authors: | CHEN Bao-xing |
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| Abstract: | In this paper,we discuss the positive definite problem of a binary quartic form and obtain a necessary and sufficient condition .In addition we give two examples to show that there are some errors in the paper[1]. |
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| Keywords: | positive definite binary quartic form quartic equation |
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