Cramer's rules for some Hermitian coquaternionic matrix equations

DOI10.1007/s00006-016-0751-1zbMath1382.15022OpenAlexW2568949712MaRDI QIDQ1695161

Ivan I. Kyrchei

Publication date: 7 February 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-016-0751-1

zbMATH Keywords

matrix equationCramer's rulequaternion algebrasystem of linear equationssplit quaternionnoncommutative determinantcoquaternion

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (5)

Determinantal representations of solutions to systems of quaternion matrix equations ⋮ Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses ⋮ Cramer’s rule over residue class rings of Bézout domains ⋮ Cramer’s rule over quaternions and split quaternions: A unified algebraic approach in quaternionic and split quaternionic mechanics ⋮ Elementary transformation and its applications for split quaternion matrices

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