Bott-Duffin inverse over the quaternion skew field with applications

DOI10.1007/s12190-012-0614-4zbMath1298.15011OpenAlexW2053235052MaRDI QIDQ2511153

Guang-Jing Song

Publication date: 5 August 2014

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

Full work available at URL: https://doi.org/10.1007/s12190-012-0614-4

zbMATH Keywords

generalized inversesquaternion matricesCramer's rulelinear quaternion equationsR-Bott-Duffin inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear equations (linear algebraic aspects) (15A06)

Related Items

Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation ⋮ Cramer's rules for some Hermitian coquaternionic matrix equations ⋮ Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses ⋮ The column and row immanants over a split quaternion algebra ⋮ Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations ⋮ Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation ⋮ An efficient algorithm for the generalized \((P,Q)\)-reflexive solution to a quaternion matrix equation and its optimal approximation ⋮ Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field ⋮ Determinantal representations of the core inverse and its generalizations with applications

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