Results 21 to 30 of about 221 (60)
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
core +1 more source
Truncated K-moment problems in several variables [PDF]
Let $\beta\equiv\beta^{(2n)}$ be an N-dimensional real multi-sequence of degree 2n, with associated moment matrix $\mathcal{M}(n)\equiv \mathcal{M}(n)(\beta)$, and let $r:=rank \mathcal{M}(n)$.
Curto, Raul E., Fialkow, Lawrence A.
core +1 more source
"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
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
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.
core +1 more source
Combinatorial aspects of generalized complementary basic matrices
Fiedler Miroslav, Hall Frank
doaj +1 more source
An extension of Haynsworth’s determinant inequality
D. Hartfiel
semanticscholar +1 more source
Some lower bounds for the Perron root of a nonnegative matrix
S. Shen, Guang-Bin Wang
semanticscholar +1 more source

