Moore-Penrose Inverses and Group Inverses of Block k-Circulant Matrices

数学季刊 ›› 1996, Vol. 11 ›› Issue (1): 86-99.

Moore-Penrose Inverses and Group Inverses of Block k-Circulant Matrices

Department of Mathematics and Mechanics.Southeast University,Nanjing,210018

收稿日期:1994-01-04 出版日期:1996-03-30 发布日期:2025-02-27
基金资助:
Partially supported by the Natural Natural Science Foundation of China.

Moore-Penrose Inverses and Group Inverses of Block k-Circulant Matrices

Department of Mathematics and Mechanics.Southeast University,Nanjing,210018

Received:1994-01-04 Online:1996-03-30 Published:2025-02-27
Supported by:
Partially supported by the Natural Natural Science Foundation of China.

摘要/Abstract

摘要： The Moore-Penrose inverse of a block k-circulant matrix whose blocks are arbitrary matrices are obtained when k has unit modulus.In the meantime,explicit formulae for finding group inverses of certain specified k-circulant matrices are also given.

关键词: Moore-Penrose , inverse;group , inverse;block , k-circulant , matrix

Abstract: The Moore-Penrose inverse of a block k-circulant matrix whose blocks are arbitrary matrices are obtained when k has unit modulus.In the meantime,explicit formulae for finding group inverses of certain specified k-circulant matrices are also given.

Key words: Moore-Penrose , inverse;group , inverse;block , k-circulant , matrix

陈建龙. Moore-Penrose Inverses and Group Inverses of Block k-Circulant Matrices[J]. 数学季刊, 1996, 11(1): 86-99.

Chen Jianlong. Moore-Penrose Inverses and Group Inverses of Block k-Circulant Matrices[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(1): 86-99.

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Moore-Penrose Inverses and Group Inverses of Block k-Circulant Matrices

Moore-Penrose Inverses and Group Inverses of Block k-Circulant Matrices

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