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ScienceAsia 49 (2023): 939-946 |doi: 10.2306/scienceasia1513-1874.2023.054

Proper single splittings over proper cones of rectangular matrices

Ting Huang*, Shu-Xin Miao

ABSTRACT:     In this article, we introduce two new splittings for rectangular matrices, which are called proper single regular and weak regular splittings over proper cone. Convergence results for the proper single regular splitting over proper cones of a rectangular matrix are established. Meanwhile, comparison theorems between the spectral radii of matrices arising from proper single regular and/or weak regular splittings over proper cones of the same rectangular matrix or different rectangular matrices are presented. The work here extends the applicability of the splitting results over field of rectangular matrices.

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a College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070 China

* Corresponding author, E-mail: huangting173@163.com

Received 22 Feb 2022, Accepted 16 May 2023