POSITIVE_DEFINITE

作品数：51被引量：88H指数：4
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Some Notes on the Positive Definite Problem of a Binary Quartic Form
《Chinese Quarterly Journal of Mathematics》2003年第1期68-73,共6页CHEN Bao-xing (Department of Mathematics, Zhangzhou Teacher’s College, Zhangzhou 363000, China) 
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].
关键词：positive definite binary quartic form quartic equation 
The Classification of Positive Definite Unimodular Lattices Over Z[(1+21^(1/2))/2]
《Chinese Quarterly Journal of Mathematics》2000年第2期87-93,共7页王瑞卿 
In this paper, the author applies adjacent lattice method and Siegel mass formula to determine the classes of positive definite unimodular lattices of rank 4 over Z , and obtains that the class number of unit genus ...
关键词：positive definite unimodular adjacent lattice class number Siegel mass formula orthogonal group 
The Classification of Positive Definite Unimodular Lattices Over Z[(1+21<sup>1/2</sup>)/2]被引量：4
《Chinese Quarterly Journal of Mathematics》2000年第2期87-93,共页王瑞卿 
In this paper, the author applies adjacent lattice method and Siegel mass formula to determine the classes of positive definite unimodular lattices of rank 4 over Z , and obtains that the class number of unit genus ...
关键词：positive definite unimodular adjacent lattice class number Siegel mass formula orthogonal group 
A Remark on the Positive Definite Problem of a Binary Quartic Form被引量：4
《Chinese Quarterly Journal of Mathematics》1999年第1期43-46, ,共4页凌生智 
In this paper,we discussed the positive definite problem of binary quartic forms and obtained a necessary and sufficient conditions.
关键词：positive definite binary quartic form negative definite 
Completely Positive Definite Maps Over Topological-algebras
《Chinese Quarterly Journal of Mathematics》1996年第4期73-77, ,共5页许天周 
In this paper, we discuss completely positive definite maps over topological algebras. A Schwarz type inequality for n-positive definite maps, and the Stinespring representation theorem for completely positive definit...
关键词：topological algebra n-positive definite maps completely positive definite map schwarz type inequality Stinespring representation theorem 
The　Metapositive　Definite　Self－Conjugate　Solution　of　the　Matrix　Equation　AXB＝C　over　a　Skew　Field被引量：3
《Chinese Quarterly Journal of Mathematics》1995年第3期42-51,共10页王卿文 
Let F be the strong p-division ring [4]. This paper is sequel to [1]. Metapositive definite self-conjugate matrix over F is defined and the necessary and sufficient conditions for determining whether a partitioned mat...
关键词：the strong p-division ring matrix equation metapositive definite self-coniugate matrix 
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