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几类广义逆矩阵的若干性质 被引量:7

Some Properties of Three Kinds of Generalized Inverses
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摘要 研究矩阵的{1,3),{1,4}广义逆和对称L-zero矩阵的广义Bott-Duffin逆,这3种广义逆均在多个领域有广泛应用;得到了它们的新表达式和若干代数性质,并举例说明了它们在最小二乘解和极小问题解中的应用. This paper investigated three kinds of widely used generalized inverses of matrices: they are {1,3} and {1,4} inverses, and generalized Bott-Duffin inverse of L-zero matrices. Some new expressions and properties are obtained; and examples are given to illustrate their applications in finding least-square solutions and minimum problem solutions.
出处 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第3期26-31,共6页 Journal of East China Normal University(Natural Science)
基金 国家自然科学基金项目(10371044 400001041) 上海市基础研究重点项目(04JC10431) 上海市重点学科项目
关键词 {1 3)逆 {1 4)逆 广义BOTT-DUFFIN逆 L-zero矩阵 {1,3} inverse {1,4} inverse generalized Bott-Duffin inverse L-zero matrices
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参考文献6

  • 1陈永林.矩阵的扰动与广义逆[J].应用数学学报,1986,9:319-327.
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  • 3BEN-ISRAEL A,GREVILLE T N E.Generalized Inverses:Theory and Applications[M].2nd ed.New York:Springer-Verlag,2003.
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