Results 41 to 50 of about 299 (58)

On universality of local edge regime for the deformed Gaussian Unitary Ensemble

open access: yes, 2013
We consider the deformed Gaussian ensemble $H_n=H_n^{(0)}+M_n$ in which $H_n^{(0)}$ is a hermitian matrix (possibly random) and $M_n$ is the Gaussian unitary random matrix (GUE) independent of $H_n^{(0)}$. Assuming that the Normalized Counting Measure of
A. Lytova   +23 more
core   +1 more source

Arithmetic, geometric, and harmonic means for accretive-dissipative matrices

open access: yes, 2016
The concept of Loewner (partial) order for general complex matrices is introduced. After giving the definition of arithmetic, geometric, and harmonic mean for accretive-dissipative matrices, we study their basic properties.
Lin, Minghua
core  

"On some definitions in matrix algebra" [PDF]

open access: yes
Many definitions in matrix algebra are not standardized. This notediscusses some of thepitfalls associated with undesirable orwrong definitions, anddealswith central conceptslikesymmetry, orthogonality, square root, Hermitian and quadratic forms, and ...
Jan R. Magnus, Karim M. Abadir
core  

Krylov subspaces associated with higher-order linear dynamical systems

open access: yes, 2005
A standard approach to model reduction of large-scale higher-order linear dynamical systems is to rewrite the system as an equivalent first-order system and then employ Krylov-subspace techniques for model reduction of first-order systems.
Freund, Roland W.
core   +1 more source

Combinatorial aspects of generalized complementary basic matrices

open access: yesOpen Mathematics, 2013
Fiedler Miroslav, Hall Frank
doaj   +1 more source

New inclusion sets for singular values. [PDF]

open access: yesJ Inequal Appl, 2017
He J, Liu YM, Tian JK, Ren ZR.
europepmc   +1 more source

Factorizable matrices

open access: yesSpecial Matrices, 2013
Fiedler Miroslav, Hall Frank J.
doaj   +1 more source

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