Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations

DOI10.1155/2018/6294672zbMath1487.15017OpenAlexW2898813227WikidataQ129010707 ScholiaQ129010707MaRDI QIDQ1728872

Ivan I. Kyrchei

Publication date: 26 February 2019

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/6294672

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Functions of hypercomplex variables and generalized variables (30G35) Matrix equations and identities (15A24)

Related Items (11)

The common re-nonnegative definite and re-positive definite solutions to the matrix equations \(A_1XA_1^\ast = C_1\) and \(A_2XA_2^\ast = C_2 \) ⋮ Compact formula for skew-symmetric system of matrix equations ⋮ A system of coupled quaternion matrix equations with seven unknowns and its applications ⋮ \( \eta \)-Hermitian solution to a system of quaternion matrix equations ⋮ Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity ⋮ Cramer's rule for the general solution to a restricted system of quaternion matrix equations ⋮ A quaternion matrix equation with two different restrictions ⋮ The general solution of quaternion matrix equation having \(\eta \)-skew-Hermicity and its Cramer's rule ⋮ Determinantal representations of the core inverse and its generalizations with applications ⋮ Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations ⋮ Explicit formulas and determinantal representation for η-skew-Hermitian solution to a system of quaternion matrix equations

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