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Volume 5, Issue 3
Sign Idempotent Matrices and Generalized Inverses

Jingyue Zhang, T. Z. Huang, Zhongshan Li and Xingwen Zhu

J. Info. Comput. Sci. , 5 (2010), pp. 233-240.

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  • Abstract
Q A denote A matrix whose entries consist of  nn  matrices B such that the signs of entries in B match the corresponding entries in the set of all real A . For nonnegative sign patterns, sign idempotent patterns have been characterized. In this paper, we Firstly give an equi-valent proposition to characterize general sign idempotent matrices (sign idempotent). Next, we study properties of a class of matrices which can be generalized permutationally similar to specialized sign patterns. Finally, we consider the relationships among the allowance of idempotent, generalized inverses and the allowance of tripotent in symmetric sign idempotent patterns.
  • Keywords

sign pattern matrix symmetric sign pattern sign idempotent allowance of idempotent generalized inverses

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COPYRIGHT: © Global Science Press

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@Article{JICS-5-233, author = {Jingyue Zhang, T. Z. Huang, Zhongshan Li and Xingwen Zhu}, title = {Sign Idempotent Matrices and Generalized Inverses}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {5}, number = {3}, pages = {233--240}, abstract = {Q A denote A matrix whose entries consist of  nn  matrices B such that the signs of entries in B match the corresponding entries in the set of all real A . For nonnegative sign patterns, sign idempotent patterns have been characterized. In this paper, we Firstly give an equi-valent proposition to characterize general sign idempotent matrices (sign idempotent). Next, we study properties of a class of matrices which can be generalized permutationally similar to specialized sign patterns. Finally, we consider the relationships among the allowance of idempotent, generalized inverses and the allowance of tripotent in symmetric sign idempotent patterns. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22714.html} }
TY - JOUR T1 - Sign Idempotent Matrices and Generalized Inverses AU - Jingyue Zhang, T. Z. Huang, Zhongshan Li and Xingwen Zhu JO - Journal of Information and Computing Science VL - 3 SP - 233 EP - 240 PY - 2024 DA - 2024/01 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22714.html KW - sign pattern matrix KW - symmetric sign pattern KW - sign idempotent KW - allowance of idempotent KW - generalized inverses AB - Q A denote A matrix whose entries consist of  nn  matrices B such that the signs of entries in B match the corresponding entries in the set of all real A . For nonnegative sign patterns, sign idempotent patterns have been characterized. In this paper, we Firstly give an equi-valent proposition to characterize general sign idempotent matrices (sign idempotent). Next, we study properties of a class of matrices which can be generalized permutationally similar to specialized sign patterns. Finally, we consider the relationships among the allowance of idempotent, generalized inverses and the allowance of tripotent in symmetric sign idempotent patterns.
Jingyue Zhang, T. Z. Huang, Zhongshan Li and Xingwen Zhu. (2024). Sign Idempotent Matrices and Generalized Inverses. Journal of Information and Computing Science. 5 (3). 233-240. doi:
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