@article{Zhuravlev_Zabrodskiy_Fomin_2019, title={Conditions of solvability and representation
of the solutions of equations with operator matrices}, volume={71}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/1452}, abstractNote={We propose new methods for the construction of generalized inverse operator matrices for the operator matrices in Banach
spaces. The solvability criteria and the formulas for representations of the general solutions of operator equations with
operator matrices are obtained. As an application, we consider the relationship between the obtained formulas and the
well-known Frobenius formula for the construction of the matrix inverse to a nondegenerate block matrix.}, number={4}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={ZhuravlevV. F. and ZabrodskiyP. N. and FominN. P.}, year={2019}, month={Apr.}, pages={471-485} }