On some spectral properties of large self-dual dilute quaternion random matrices
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Publication:2943844
DOI10.1080/03081087.2014.972392zbMath1328.15050OpenAlexW2081111550MaRDI QIDQ2943844
Publication date: 4 September 2015
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2014.972392
Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Strong limit theorems (60F15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)
Cites Work
- Cramer's rule for some quaternion matrix equations
- Algebraic algorithms for least squares problem in quaternionic quantum theory
- Asymptotic properties of resolvents of large dilute Wigner random matrices
- Geršgorin type theorems for quaternionic matrices
- Spectral analysis of large dimensional random matrices
- Rigorous bounds on the storage capacity of the dilute Hopfield model
- A numerical study of sparse random matrices
- Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations
- Eigenvalue distribution of large dilute random matrices
- Sparse random matrices: the eigenvalue spectrum revisited
- Right eigenvalue equation in quaternionic quantum mechanics
- On dilute unitary random matrices
- Quaternions and matrices of quaternions
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