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有限域上矩阵的广义Moore-Penrose逆的构造分类和计算

CONSTRUCTION CLASSIFICATION AND COUNT OF GENERALIZED MOORE-PENROSE INVERSE OF MATRICES OVER FINITE FIELDS
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摘要 本文给出了有限域Fq上矩阵的广义Moore-Penrose逆存在的充分必要条件,对于有唯一广义Moore-Penrose逆的矩阵进行了分类,并且计算了这类矩阵的所有可能存在的广义Moore-Penrose逆的个数. In this paper, the sufficient and necessary conditions of existence of generalized Moore-Pen-rose inverses of matrices over finite fields are given, and matrices with unique generalized Moore - Penrose inverses are classified, and all possible generalized Moore-Penrose inverses of all of these matrices are counted.
作者 刘淑丹 孙宇
出处 《哈尔滨师范大学自然科学学报》 CAS 2002年第6期1-4,共4页 Natural Science Journal of Harbin Normal University
关键词 构造 分类 计算 广义MOORE-PENROSE逆 矩阵 有限域 向量空间 Generalized Moore-Penrose inverse Matrix Finite field
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参考文献3

  • 1Dai Zongduo, Zhang Yufeng, Classification Onstruction and Ount of M-P Invertible Matrices over Finite Fields, to appear in Finite Fields and its Application.
  • 2K.M. Prasad and R. B. Bapat, The Generalized Moore-Penrose Inverse, Linear Algebra.and its Application, 1992, 165:59~69
  • 3Wan Zhexian, Geometry of classification groups over finite fields, Lond:student literature, 1993
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