| TO SOLVE MATRIX EQUATION sum (A~iXBi=c) BY THE SMITH NORMAL FORM |
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| 作者姓名： | Huang LipingInstitute of Mathematics and Software Xiangtan Polytechnic University Xiangtan . |
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| 作者单位： | Huang LipingInstitute of Mathematics and Software，Xiangtan Polytechnic University，Xiangtan 411201. |
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| 基金项目： | the NSF of Hunan Province and the Science and Technology Development Foundation of Xiangtan Polytechnic University |
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| 摘 要： | § 1 IntroductionLet F be a field,Fλ] be the polynomial ring over F,Fm× n( or Fm× nλ] ) be the setofall m×n matrices over F( or Fλ] ) .Let M(i) be the ith column of M∈Fm× mλ] ,i=1 ,...,n.A g-inverse of M∈Fm× n will be denoted by M- and understood as a matrix for whichMM- M=M.In this paper,we discuss the linear matrix equation ki=0Ai XBi =C, ( 1 )where A∈Fm× m,Bi∈Fn× q,i=0 ,1 ,...,k,and C∈Fm× q.Equation( 1 ) is called universally solvable if ithas a solution f…
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TO SOLVE MATRIX EQUATION sum (A~iXBi=c) BY THE SMITH NORMAL FORM |
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| Huang LipingInstitute of Mathematics and Software,Xiangtan Polytechnic University,Xiangtan ..TO SOLVE MATRIX EQUATION sum (A~iXBi=c) BY THE SMITH NORMAL FORM[J].Applied Mathematics A Journal of Chinese Universities,2002(1). |
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| Authors: | Huang LipingInstitute of Mathematics and Software Xiangtan Polytechnic University Xiangtan |
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| Institution: | Huang LipingInstitute of Mathematics and Software,Xiangtan Polytechnic University,Xiangtan 411201. |
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| Abstract: | |
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| Keywords: | matrix equation Smith normal form universally solvable g-inverse |
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