Background
Ivan Igogrovych was born June 26, 1964 in Lviv, Ukraine. Son of Igor Konstantynovych and Maria Ivanivna Kyrchei.
Ivan Igogrovych was born June 26, 1964 in Lviv, Ukraine. Son of Igor Konstantynovych and Maria Ivanivna Kyrchei.
Bachelor, Simferopol State University, Ukraine from 1984 to 1987; Master, Lviv State University, Ukraine, 1992; Candidate in Physical & Math. Scis. (honorary), Kyiv National University, Ukraine, 2008.
Ivan Kyrchei, Cramer's Rule for Generalized Inverse Solutions. In: KYRCHEI, Ivan (Ed.): Advances in Linear Algebra Research. New York: Nova Sci. Publ., 2015, pp. 79-132.
ISBN 978-1-62417-511-4
Aleks Kleyn, Ivan Kyrchei, Relation of Row-Column Determinants with Quasideterminants of Matrices over a Quaternion Algebra. In: KYRCHEI, Ivan (Ed.): Advances in Linear Algebra Research. New York: Nova Sci. Publ., 2015, pp.299-324.
ISBN 978-1-62417-511-4
Ivan I. Kyrchei, The Theory of The Column And Row Determinants in a Quaternion Linear Algebra., In: Albert R. Baswell (Ed.): Advances in Mathematics Research 15. New York: Nova Sci. Publ., 2012, pp. 301-359.
ISBN 978-1-62417-511-4
Ivan Kyrchei, The column and row immanants of matrices over a split quaternion algebra , Advances in AppliedClifford Algebras , (2015), DOI 10.1007/s00006-014-0517-6.
Ivan Kyrchei, Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations , Applied Mathematics and Computation, 238 (2014), pp. 193-207. IF
Ivan Kyrchei, Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations, Applied Mathematics and Computation, 219 (2013), pp. 7632-7644. IF
Ivan Kyrchei, Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations, Linear Algebra and Its Applications, 438 no. 1, (2013), pp. 136–152. IF
Ivan Kyrchei, Analogs of Cramer's rule for the minimum norm least squares solutions of some matrix equations, Applied Mathematics and Computation, 218 (2012), pp. 6375-6384. IF
I.I.Kyrchei, Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer's rules, Linear and Multilinear Algebra 59(4) (2011), pp. 413-431. IF
I. I.Kyrchei, Cramer's rule for some quaternion matrix equations, Applied Mathematics and Computation, 217(5) (2010), pp. 2024-2030. IF
I. I.Kyrchei, Determinantal representation of the Moore–Penrose inverse matrix over the quaternion skew field, Journal of Mathematical Sciences 180(1), (2012), pp 23-33. Translated from Mat. Metody Fiz.-Mekh. Polya – 2010. – 53, №3. – pp.36–46.
I. I.Kyrchei, Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules, Linear and Multilinear Algebra 56(4) (2008), pp. 453–469. IF
I. I.Kyrchei, Cramer's rule for quaternionic systems of linear equations, Journal of Mathematical Sciences (2008) 155 (6), pp 839-858. IF
Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 4, pp. 67–94, 2007 (in Russian)
I. I.Kyrchei, Cramer rule over quaternion division algebra, Bulletin of the University of Kiev. Series: Physics and Mathematics, no. 1, pp.28-34 (2006) (in Ukrainian).
I. I.Kyrchei, Determinantal representation of the Drazin inverse. Mathematical Methods and Physicomechanical Fields,– 2006. – 49, №2. – pp.58–64. (in Ukrainian).
I. I. Kyrchei, Representation of generalized inverse Moore–Penrose matrix by analog of classical adjoint matrix. Mathematical Methods and Physicomechanical Fields, – 2004. – 47, №4. – pp.6–11. (in Ukrainian).
I.I.Kyrchei, Analogue of adjoint matrix over skew field with involution. Mathematical Methods and Physicomechanical Fields, – 46, no.4, pp.81-91 (2003) (in Ukrainian).
I. Kyrchey, The inverse matrix for hermitian over a quasi-field, Visnyk Lviv Univ. Ser. Appl. Math. Comp. Sci.2002. No 4. pp. 120-125(in Ukrainian).
I. I.Kyrchei, Classical adjoint for Hermitian matrix over quasi-field, Mathematical Methods and Physicomechanical Fields, 44, no.3, pp.33–49 (2001) (in Ukrainian).
I. I. Kirchei, Fractional-rational regularization of a system of linear equations over the skew-field of quaternions. Journal of Mathematical Sciences, 1998, Volume 90, Number 5, Pages 2398-2403.
Translated from Mat. Metody Fiz.-Mekh. Polya 39, no.2, pp.89-95 (1996) (in Ukrainian).