Chapters of editor's books

  1. I.I. Kyrchei, Cramer's rules for systems of quaternion matrix equations. In: Ivan I. Kyrchei (Ed.), “Generalized Inverses: Algorithms and Applications”, pp. 95-168. New York: Nova Sci. Publ., 2022. ISBN: 978-1-68507-356-5. SENSE (C)

  2. I.I. Kyrchei, Cramer's rules for Sylvester-type matrix equations. In: Ivan I. Kyrchei (Ed.), Hot Topics in Linear Algebra, pp. 45-110. New York: Nova Sci. Publ., 2020. ISBN: 978-1-53617-770-1. SENSE (C)

  3. A. Rehman, I. Kyrchei, M. Akram, I. Ali, A. Shakoor, System of mixed generalized Sylvester-type quaternion matrix equations. In: Ivan I. Kyrchei (Ed.), Hot Topics in Linear Algebra, pp. 138-162. New York: Nova Sci. Publ., 2020. ISBN: 978-1-53617-770-1. SENSE (C)

  4. I.I. Kyrchei, Determinantal representations of the core inverse and its generalizations, In: Functional Calculus, London: IntechOpen, 2020. DOI: 10.5772/intechopen.89341. SENSE (D)

  5. I.I. Kyrchei, Cramer’s rules for the system of two-sided matrix equations and of its special cases. In: H.A. Yasser (Ed.), Matrix Theory-Applications and Theorems, pp. 3-20. IntechOpen, 2018. SENSE (D)

  6. I.I. Kyrchei, Explicit representation formulas for solutions to systems of quaternion matrix equations. Nonclassical problems of the theory of differential equations: a collection of scientific works, devoted to the 80th anniversary of B. Y. Ptashnik, p.110-123. - Lviv: Pidstryhach IAPMM of the National Academy of Sciences of Ukraine, 2017 (in Ukrainian).

  7. I.I. Kyrchei, Determinantal representations of the quaternion weighted Moore-Penrose inverse and its applications. In: Albert R. Baswell (Ed.): Advances in Mathematics Research 23, pp. 35-96. New York: Nova Sci. Publ., 2017. ISBN: 978-1-53612-512-2. SENSE (C)

  8. I.I. Kyrchei, Determinantal representations of the Drazin and W-weighted Drazin inverses over the quaternion Skew Field with Applications. In: Sandra Griffin (Ed.): Quaternions: Theory and Applications, pp.201-275. New York: Nova Sci. Publ., 2017. ISBN: 978-1536107685. SENSE (C)

  9. I.I. Kyrchei, Cramer's Rule for Generalized Inverse Solutions. In: Ivan I. Kyrchei, (Ed.): Advances in Linear Algebra Research, pp. 79-132. New York: Nova Sci. Publ., 2015. ISBN 978-1-62417-511-4. SENSE (C)

  10. Aleks Kleyn, Ivan Kyrchei, Relation of Row-Column Determinants with Quasideterminants of Matrices over a Quaternion Algebra. In: Ivan I. Kyrchei, (Ed.): Advances in Linear Algebra Research, pp.299-324. New York: Nova Sci. Publ., 2015. ISBN 978-1-62417-511-4. SENSE (C)

  11. I.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, pp. 301-359. New York: Nova Sci. Publ., 2012. ISBN 978-1-62417-511-4. SENSE (C)