Existence and uniqueness of weighted pseudoinverse matrices and weighted normal pseudosolutions with singular weights |
| |
Authors: | I V Sergienko E F Galba V S Deineka |
| |
Institution: | 1.Kiev,Ukraine |
| |
Abstract: | For one definition of weighted pseudoinversion with singular weights, we establish necessary and sufficient conditions for
the existence and uniqueness of a solution of a system of matrix equations. Expansions of weighted pseudoinverse matrices
in matrix power series and matrix power products are obtained. A relationship between weighted pseudoinverse matrices the
weighted normal pseudosolutions is established. Iterative methods for the calculation of weighted pseudoinverse matrices and
weighted normal pseudosolutions are constructed. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|