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《JOURNAL OF CHONGQING TEACHERS COLLEGE(NATURAL SCIENCE EDITION)》 2000-03
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A Solution of the Inverse Problem of Ax=b in the Class of the Quasi-Metapositive Definite Matrices

SONG Qian kun (Dept. of Mathematics,Zigong Teachers College,Zigong Sichuan,643000,China)  
If  O≠x=(x 1,…,x n) T∈R n×1 ,let A ∈R n×n be metapositive matrix S∈R n×n and x ST SAx0 . Among x sT =(x n,…,x 1),A is called Quasi metapositive definite matrix where x sT =(x n,…,x 1) . The paper deals with the solution of the inverse problem of the linear equations Ax=b in the quasi metapositive definite matrices. [WT5HZ]
【CateGory Index】: O151
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【Citations】
Chinese Journal Full-text Database 4 Hits
1 Cao Lili (Chongqing Institute of Commerce,Chongqing,630067);Improper Metapositive Definiteness Matrix[J];重庆师范学院学报(自然科学版);1997-03
2 Fu Yihui;Wang Shuning; Dai Jianshe(Department of Automatic Cotrol, Huazhong Universityof Science and Technology. Wuhan, 430074 );The Solvability Conditions on the Inverse Problem of Ax=bin the Classes of the Generalized Positive Definite Matrices[J];应用数学;1997-02
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LIU Hua-lu;CHEN Xi;School of Mathematics and Physics,Hubei Polytechnic University;School of Economy and Management,Hubei Polytechnic University;;THE k-GENERALIZED HERMITE MATRICES[J];数学杂志;2015-01
2 GUO Wei (School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China);The Moore-Penrose Inverse for Generalized Row(Column)Symmetric Matrix[J];重庆工商大学学报(自然科学版);2012-12
3 JIA Shu-wei,HE Cheng-yuan,LI Jing School of Mathematics and Computer Engineering,Xihua University,Chengdu 610039,Chin;On Properties of the k-Row Orthogonal Matrix[J];西南师范大学学报(自然科学版);2012-08
4 JIA Shu-wei,HE Cheng-yuan(School of Mathematics and Computer Engineering,Xihua University,Chengdu 610039,China);Properties of Row(Column) Transposed Matrix[J];内江师范学院学报;2011-02
5 LIU Yu,CHEN Chuang-xin(Department of Mathematics and Information Technology,Hanshan Normal University,Chaozhou 521041,China);Sub-invertible Matrix and Its Properties[J];大学数学;2010-03
6 GUO Wei, WANG Wen-hui, LI Qing-yuCollege of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China;Orthogonal Diagonal Decomposition and Moore-Penrose Inverses of o-Symmetrix Matrix[J];西南师范大学学报(自然科学版);2009-05
7 YUAN Hui-ping(College of Mathematics and statistics,Chongqing Technology and Business University,Chongqing,400067,China);QR factorization of real row(column) symmetric matrices[J];哈尔滨工业大学学报;2009-09
8 GUO Wei(College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067);Full Rank Decomposition and Moore-Penrose Inverses of Completely Symmetric Matrices[J];四川师范大学学报(自然科学版);2009-04
9 YUAN Hui-ping, WANG Xing-rong,LI Qing-yu(College of Math. and Statistics, Chongqing Technology and Business University, Chongqing,400067, China);THE FULL RANK FACTORIZATION AND GENERALIZED INVERSE FOR ROW (COLUMN) ANTISYMMETRIC MATRICES[J];数学杂志;2009-04
10 CUI Li-ping,YANG Xin(Department of Basic Course,Xinxiang Medical University,Xinxiang 453003,China);Quasi Unitary Matrix and Its Properties[J];新乡学院学报(自然科学版);2009-03
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1 Sun Jiandong(Tank Aebdemy Teaching Research Section of Matematies);RESEARCHES OF IMPROPER POSITIVE DEFINITE MATRIX[J];高等学校计算数学学报;1996-01
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