Minimal ranks of some quaternion matrix expressions with applications

DOI10.1016/j.amc.2010.07.004zbMath1204.15005OpenAlexW2085020002MaRDI QIDQ606730

Israr Ali Khan, Qing-Wen Wang, Guang-Jing Song

Publication date: 18 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.07.004

zbMATH Keywords

quaternion matrixminimal ranklinear matrix expressionlinear quaternion matrix equationspersymmetric solution

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

The optimization on ranks and inertias of a quadratic Hermitian matrix function and its applications ⋮ A real quaternion matrix equation with applications ⋮ Solving and algorithm to system of quaternion Sylvester-type matrix equations with \(\ast\)-Hermicity ⋮ The maximal and minimal ranks of a quaternion matrix expression with applications ⋮ The consistency and the exact solutions to a system of matrix equations ⋮ The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations ⋮ Inertias and ranks of some Hermitian matrix functions with applications ⋮ Explicit formulas and determinantal representation for η-skew-Hermitian solution to a system of quaternion matrix equations

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