Ivan Kyrchei

Ivan Kyrchei was born in 1964 in Lviv region, Ukraine. He received his

Ph.D. (Candidate of Science) degree in 2008 from Taras Shevchenko National

University of Kyiv. Now he is working as a Researcher Fellow of Pidstryhach

Institute for Applied Problems of Mechanics and Mathematics of National

Academy of Sciences of Ukraine. He was awarded the title of Senior Research

Fellow (Algebra and The Theory of Numbers), equivalent to Associate Pro-

fessor, from Ministry of Education and Science of Ukraine. He is an editor

for the journal "Advances in Linear Algebra and Matrix Theory" and an

editor's book. His research interests are mostly in Algebra, Linear Algebra

and its applications. He introduced and developed a theory of new matrix

functionals: row, column and double determinants of square matrices over

the quaternion skew eld. Within the framework of this theory he obtained

determinantal representations of the inverse and generalized inverse matrices

(Moore-Penrose, Drazin, group inverse, etc.) by analogs of classical adjoint

and analogs of Cramer's rule generalized inverse solutions of some matrix

equations, etc. These results are also important in the transition to the com-

plex matrix algebra. He has published in well-known professional journals

and the editor's books.