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Volume 40, Issue 4
The m-CMP Inverse in Minkowski Space

Ming-Xue Shao & Li-Hua Cheng

DOI: 10.4208/cmr.2024-0037

Commun. Math. Res., 40 (2024), pp. 482-498.

Published online: 2024-12

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  • Abstract

In this paper, a new generalized m-CMP inverse is introduced into the Minkowski space, and its related properties are discussed. Secondly, three different expressions of m-CMP inverse are listed, namely Hartwig-Spindelböck decomposition, full-rank decomposition and integral expression. Finally, the application of the inverse m-CMP equation in solving linear equations is given.

  • Keywords

Minkowski space, m-CMP inverse, Hartwig-Spindelböck decomposition, full-rank factorization, integral expression, system of linear equations.

  • AMS Subject Headings

15A10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-40-482, author = {Shao , Ming-Xue and Cheng , Li-Hua}, title = {The m-CMP Inverse in Minkowski Space}, journal = {Communications in Mathematical Research }, year = {2024}, volume = {40}, number = {4}, pages = {482--498}, abstract = {

In this paper, a new generalized m-CMP inverse is introduced into the Minkowski space, and its related properties are discussed. Secondly, three different expressions of m-CMP inverse are listed, namely Hartwig-Spindelböck decomposition, full-rank decomposition and integral expression. Finally, the application of the inverse m-CMP equation in solving linear equations is given.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2024-0037}, url = {http://global-sci.org/intro/article_detail/cmr/23702.html} }
TY - JOUR T1 - The m-CMP Inverse in Minkowski Space AU - Shao , Ming-Xue AU - Cheng , Li-Hua JO - Communications in Mathematical Research VL - 4 SP - 482 EP - 498 PY - 2024 DA - 2024/12 SN - 40 DO - http://doi.org/10.4208/cmr.2024-0037 UR - https://global-sci.org/intro/article_detail/cmr/23702.html KW - Minkowski space, m-CMP inverse, Hartwig-Spindelböck decomposition, full-rank factorization, integral expression, system of linear equations. AB -

In this paper, a new generalized m-CMP inverse is introduced into the Minkowski space, and its related properties are discussed. Secondly, three different expressions of m-CMP inverse are listed, namely Hartwig-Spindelböck decomposition, full-rank decomposition and integral expression. Finally, the application of the inverse m-CMP equation in solving linear equations is given.

Shao , Ming-Xue and Cheng , Li-Hua. (2024). The m-CMP Inverse in Minkowski Space. Communications in Mathematical Research . 40 (4). 482-498. doi:10.4208/cmr.2024-0037
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