Quaternion differential matrix equations with singular coefficient matrices

Theory of matrix inversion and generalized inverses (15A09) Implicit ordinary differential equations, differential-algebraic equations (34A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear ordinary differential equations and systems (34A30) Quaternionic functional analysis (46S05)

Cites Work

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Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations
New results on condensed Cramer's rule for the general solution to some restricted quaternion matrix equations
Global structure of quaternion polynomial differential equations
Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field
Quaternionic-valued ordinary differential equations. II: Coinciding sectors
Determinantal representation of weighted generalized inverses
Planar nonautonomous polynomial equations II. Coinciding sectors
Quaternionic-valued ordinary differential equations. The Riccati equation
Classification of diffeomorphisms of \(\mathbb{S}^4\) induced by quaternionic Riccati equations with periodic coefficients
Singular control systems
Quaternionic determinants
Full-rank and determinantal representation of the Drazin inverse
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Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse
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A survey of linear singular systems
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The quaternionic determinant
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