Right eigenvalues for quaternionic matrices: A topological approach
From MaRDI portal
Publication:1301288
DOI10.1016/S0024-3795(98)10181-7zbMath0941.15013OpenAlexW2065093383WikidataQ127580252 ScholiaQ127580252MaRDI QIDQ1301288
Publication date: 14 February 2000
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10181-7
Jordan canonical formLefschetz fixed point theoremquaternion matrixright eigenvaluescompact symplectic group
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)
Related Items (26)
Bounds for eigenvalues of matrix polynomials over quaternion division algebra ⋮ Linear quaternion-valued difference equations: Representation of solutions, controllability, and observability ⋮ Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations ⋮ Spectral theorem for quaternionic compact normal operators ⋮ Extremal ranks of a quaternion matrix expression subject to consistent systems of quaternion matrix equations with applications ⋮ Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field ⋮ Geršgorin type theorems for quaternionic matrices ⋮ Construction of commutative number systems ⋮ Hyers-Ulam stability of linear homogeneous quaternion-valued difference equations ⋮ Trace map, Cayley transform and LS category of Lie groups ⋮ The spectral theorem in quaternions ⋮ On eigenvalues of split quaternion matrices ⋮ Commutative quaternion matrices ⋮ A UNIFIED ANALYSIS OF LINEAR QUATERNION DYNAMIC EQUATIONS ON TIME SCALES ⋮ Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse ⋮ On exponential of split quaternionic matrices ⋮ Determinantal representations of the Moore–Penrose inverse over the quaternion skew field and corresponding Cramer's rules ⋮ On the eigenvalues of quaternion matrices ⋮ Extreme ranks of a linear quaternion matrix expression subject to triple quaternion matrix equations with applications ⋮ Real linear quaternionic differential operators ⋮ Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation ⋮ Floquet theory for quaternion-valued differential equations ⋮ Unnamed Item ⋮ Localization theorems for matrices and bounds for the zeros of polynomials over quaternion division algebra ⋮ Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics ⋮ The Moore-Penrose inverses of matrices over quaternion polynomial rings
Cites Work
This page was built for publication: Right eigenvalues for quaternionic matrices: A topological approach