Nonnegative splittings for rectangular matrices

作者：Mishra Debasisha^*

来源：Computers & Mathematics with Applications, 2014, 67(1): 136-144.

DOI：10.1016/j.camwa.2013.10.012

• Moore-Penrose inverse
• Linear system
• Nonnegative splitting
• Proper splitting
• Convergence theorem
• Comparison theorem

The extension of the nonnegative splitting for rectangular matrices called proper nonnegative splitting is proposed first. Different convergence and comparison theorems for the proper nonnegative splittings are established. The notion of double nonnegative splitting is then generalized to rectangular matrices. Finally, different convergence and comparison results are presented for this decomposition. The case for singular square matrices is also studied.

• 出版日期2014-1