On universality of local edge regime for the deformed Gaussian Unitary Ensemble
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
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Weak dual generalized inverse of a dual matrix and its applications. [PDF]
Li H, Wang H.
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Arithmetic, geometric, and harmonic means for accretive-dissipative matrices
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]
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
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.
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Differential impacts of late gestational over-and undernutrition on adipose tissue traits and associated visceral obesity risk upon exposure to a postnatal high-fat diet in adolescent sheep. [PDF]
Khanal P+5 more
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Combinatorial aspects of generalized complementary basic matrices
Fiedler Miroslav, Hall Frank
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New inclusion sets for singular values. [PDF]
He J, Liu YM, Tian JK, Ren ZR.
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Indigenous Yeast Interactions in Dual-Starter Fermentations May Improve the Varietal Expression of Moschofilero Wine. [PDF]
Nisiotou A+3 more
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