scholarly journals Random Matrices, Continuous Circular Systems and the Triangular Operator

2019 ◽  
Vol 12 (3) ◽  
Author(s):  
Romuald Lenczewski
Keyword(s):  
Random Matrices ◽  
Triangular Operator

Communication Optimal Parallel Multiplication of Sparse Random Matrices

2013 ◽  
Author(s):  
Grey Ballard ◽  
Aydin Buluc ◽  
James Demmel ◽  
Laura Grigori ◽  
Benjamin Lipshitz ◽  
...  
Keyword(s):  
Random Matrices ◽  
Sparse Random Matrices ◽  
Parallel Multiplication

scholarly journals Local Spectral Properties Under Conjugations

2021 ◽  
Vol 18 (3) ◽  
Author(s):  
Pietro Aiena ◽  
Fabio Burderi ◽  
Salvatore Triolo
Keyword(s):  
Hilbert Space ◽  
Spectral Properties ◽  
Operator Matrices ◽  
Weyl Type Theorems ◽  
Triangular Operator ◽  
Analytic Core ◽  
Complex Symmetric ◽  
Symmetric Operators ◽  
The Relationship

AbstractIn this paper, we study some local spectral properties of operators having form JTJ, where J is a conjugation on a Hilbert space H and $$T\in L(H)$$ T ∈ L ( H ) . We also study the relationship between the quasi-nilpotent part of the adjoint $$T^*$$ T ∗ and the analytic core K(T) in the case of decomposable complex symmetric operators. In the last part we consider Weyl type theorems for triangular operator matrices for which one of the entries has form JTJ, or has form $$JT^*J$$ J T ∗ J . The theory is exemplified in some concrete cases.

VICTORIA transform, RESPECT and REFORM methods for the proof of the G-Elliptic Law under G-Lindeberg condition and twice stochastic condition for the variances and covariances of the entries of some random matrices

2020 ◽  
Vol 28 (2) ◽  
pp. 131-162
Author(s):  
Vyacheslav L. Girko
Keyword(s):  
Random Matrices ◽  
Random Matrix ◽  
Lindeberg Condition

AbstractThe G-Elliptic law under the G-Lindeberg condition for the independent pairs of the entries of a random matrix is proven.

Diagrammatic Perturbation Expansion for Ensembles of Random Matrices

1970 ◽  
Vol 11 (10) ◽  
pp. 3103-3110 ◽  
Author(s):  
J. F. McDonald ◽  
L. D. Favro
Keyword(s):  
Random Matrices ◽  
Perturbation Expansion

scholarly journals Eigenvalues and Condition Numbers of Complex Random Matrices

2004 ◽  
Vol 26 (2) ◽  
pp. 441-456 ◽  
Author(s):  
T. Ratnarajah ◽  
R. Vaillancourt ◽  
M. Alvo
Keyword(s):  
Random Matrices ◽  
Condition Numbers
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