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《Journal of Southwest China Normal University(Natural Science)》 2003-01
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Sub-Congruence and Sub-Diagonalization of Sub-Hermite Matrices

YU Jiangming1,XIE Qingming21Dept. of Computer, Shaoguan University, Shaoguan Guangdong 512005, China;2Dept. of Mathematics, Xiangtan University, Xiangtan Hunan 411105, China  
The concept of subcongruence of matrix is put out, and some properties of subHermite and simultaneous subdiagonalization of two subHermite matrices by subcongruence transformation are discussed. In addition, several results, such as subspectral factorization theorem, law of subinertia, factorization theorem of subHermite matrix of real similarity diagonalizable matrices, etc. are given.
【Fund】: 湖南省教育厅科研基金资助(00C065).
【CateGory Index】: O151.21
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1 YUAN Hui-ping,LI Qing-yu(Department of Science College,Chongqing Technology and Business University,Chongqing 400067,China);On the metapositive definite of real normal matrices[J];Journal of Anhui University(Natural Sciences);2006-06
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